---
_id: '52338'
author:
- first_name: Julie
  full_name: Intveen, Julie
  id: '56558'
  last_name: Intveen
- first_name: Peter
  full_name: Hohwiller, Peter
  last_name: Hohwiller
citation:
  ama: Intveen J, Hohwiller P. „Tolle lege! Aber was liest man eigentlich, wenn man
    englische Romane deutscher Schulbuchverlage liest?“. <i>HeLix Dossiers zur romanischen
    Literaturwissenschaft</i>.
  apa: Intveen, J., &#38; Hohwiller, P. (n.d.). „Tolle lege! Aber was liest man eigentlich,
    wenn man englische Romane deutscher Schulbuchverlage liest?“. <i>HeLix Dossiers
    zur romanischen Literaturwissenschaft</i>.
  bibtex: '@article{Intveen_Hohwiller, title={„Tolle lege! Aber was liest man eigentlich,
    wenn man englische Romane deutscher Schulbuchverlage liest?“}, journal={HeLix
    Dossiers zur romanischen Literaturwissenschaft}, publisher={Universitätsbibliothek
    Heidelberg}, author={Intveen, Julie and Hohwiller, Peter} }'
  chicago: Intveen, Julie, and Peter Hohwiller. “„Tolle lege! Aber was liest man eigentlich,
    wenn man englische Romane deutscher Schulbuchverlage liest?“.” <i>HeLix Dossiers
    zur romanischen Literaturwissenschaft</i>, n.d.
  ieee: J. Intveen and P. Hohwiller, “„Tolle lege! Aber was liest man eigentlich,
    wenn man englische Romane deutscher Schulbuchverlage liest?“,” <i>HeLix Dossiers
    zur romanischen Literaturwissenschaft</i>.
  mla: Intveen, Julie, and Peter Hohwiller. “„Tolle lege! Aber was liest man eigentlich,
    wenn man englische Romane deutscher Schulbuchverlage liest?“.” <i>HeLix Dossiers
    zur romanischen Literaturwissenschaft</i>, Universitätsbibliothek Heidelberg.
  short: J. Intveen, P. Hohwiller, HeLix Dossiers zur romanischen Literaturwissenschaft
    (n.d.).
date_created: 2024-03-07T00:53:28Z
date_updated: 2024-04-04T13:27:01Z
language:
- iso: ger
publication: HeLix Dossiers zur romanischen Literaturwissenschaft
publication_status: accepted
publisher: Universitätsbibliothek Heidelberg
quality_controlled: '1'
status: public
title: „Tolle lege! Aber was liest man eigentlich, wenn man englische Romane deutscher
  Schulbuchverlage liest?“
type: journal_article
user_id: '56558'
year: '2024'
...
---
_id: '53277'
author:
- first_name: Christian
  full_name: Vorbohle, Christian
  id: '29951'
  last_name: Vorbohle
- first_name: Dennis
  full_name: Kundisch, Dennis
  id: '21117'
  last_name: Kundisch
citation:
  ama: Vorbohle C, Kundisch D. Leveraging Business Modeling Tools For Ecosystemic
    Business Model Design. <i>Journal of Business Models</i>. 2024;12(1):100-112.
  apa: Vorbohle, C., &#38; Kundisch, D. (2024). Leveraging Business Modeling Tools
    For Ecosystemic Business Model Design. <i>Journal of Business Models</i>, <i>12</i>(1),
    100–112.
  bibtex: '@article{Vorbohle_Kundisch_2024, title={Leveraging Business Modeling Tools
    For Ecosystemic Business Model Design}, volume={12}, number={1}, journal={Journal
    of Business Models}, author={Vorbohle, Christian and Kundisch, Dennis}, year={2024},
    pages={100–112} }'
  chicago: 'Vorbohle, Christian, and Dennis Kundisch. “Leveraging Business Modeling
    Tools For Ecosystemic Business Model Design.” <i>Journal of Business Models</i>
    12, no. 1 (2024): 100–112.'
  ieee: C. Vorbohle and D. Kundisch, “Leveraging Business Modeling Tools For Ecosystemic
    Business Model Design,” <i>Journal of Business Models</i>, vol. 12, no. 1, pp.
    100–112, 2024.
  mla: Vorbohle, Christian, and Dennis Kundisch. “Leveraging Business Modeling Tools
    For Ecosystemic Business Model Design.” <i>Journal of Business Models</i>, vol.
    12, no. 1, 2024, pp. 100–12.
  short: C. Vorbohle, D. Kundisch, Journal of Business Models 12 (2024) 100–112.
date_created: 2024-04-05T09:09:56Z
date_updated: 2024-04-05T09:10:01Z
department:
- _id: '276'
intvolume: '        12'
issue: '1'
language:
- iso: eng
page: 100-112
publication: Journal of Business Models
publication_status: published
status: public
title: Leveraging Business Modeling Tools For Ecosystemic Business Model Design
type: journal_article
user_id: '16205'
volume: 12
year: '2024'
...
---
_id: '37704'
author:
- first_name: Christoph
  full_name: Ksouri-Gerwien, Christoph
  last_name: Ksouri-Gerwien
- first_name: Christian
  full_name: Vorbohle, Christian
  id: '29951'
  last_name: Vorbohle
citation:
  ama: 'Ksouri-Gerwien C, Vorbohle C. Anwendung von System Dynamics zur Geschäftsmodellinnovation
    in einem B2B-Ökosystem. In: Schallmo DRA, Kundisch D, Lang K, eds. <i>Digitale
    Plattformen und Ökosysteme im B2B-Bereich</i>. Springer Gabler; 2024.'
  apa: Ksouri-Gerwien, C., &#38; Vorbohle, C. (2024). Anwendung von System Dynamics
    zur Geschäftsmodellinnovation in einem B2B-Ökosystem. In D. R. A. Schallmo, D.
    Kundisch, &#38; K. Lang (Eds.), <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>.
    Springer Gabler.
  bibtex: '@inbook{Ksouri-Gerwien_Vorbohle_2024, place={Wiesbaden}, title={Anwendung
    von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem}, booktitle={Digitale
    Plattformen und Ökosysteme im B2B-Bereich}, publisher={Springer Gabler}, author={Ksouri-Gerwien,
    Christoph and Vorbohle, Christian}, editor={Schallmo, D.R.A. and Kundisch, Dennis
    and Lang, K.}, year={2024} }'
  chicago: 'Ksouri-Gerwien, Christoph, and Christian Vorbohle. “Anwendung von System
    Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem.” In <i>Digitale
    Plattformen und Ökosysteme im B2B-Bereich</i>, edited by D.R.A. Schallmo, Dennis
    Kundisch, and K. Lang. Wiesbaden: Springer Gabler, 2024.'
  ieee: 'C. Ksouri-Gerwien and C. Vorbohle, “Anwendung von System Dynamics zur Geschäftsmodellinnovation
    in einem B2B-Ökosystem,” in <i>Digitale Plattformen und Ökosysteme im B2B-Bereich</i>,
    D. R. A. Schallmo, D. Kundisch, and K. Lang, Eds. Wiesbaden: Springer Gabler,
    2024.'
  mla: Ksouri-Gerwien, Christoph, and Christian Vorbohle. “Anwendung von System Dynamics
    zur Geschäftsmodellinnovation in einem B2B-Ökosystem.” <i>Digitale Plattformen
    und Ökosysteme im B2B-Bereich</i>, edited by D.R.A. Schallmo et al., Springer
    Gabler, 2024.
  short: 'C. Ksouri-Gerwien, C. Vorbohle, in: D.R.A. Schallmo, D. Kundisch, K. Lang
    (Eds.), Digitale Plattformen und Ökosysteme im B2B-Bereich, Springer Gabler, Wiesbaden,
    2024.'
date_created: 2023-01-20T10:57:37Z
date_updated: 2024-04-05T09:31:10Z
department:
- _id: '276'
editor:
- first_name: D.R.A.
  full_name: Schallmo, D.R.A.
  last_name: Schallmo
- first_name: Dennis
  full_name: Kundisch, Dennis
  last_name: Kundisch
- first_name: K.
  full_name: Lang, K.
  last_name: Lang
language:
- iso: ger
place: Wiesbaden
project:
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901'
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '17'
  name: 'SFB 901 - C5: SFB 901 - Subproject C5'
publication: Digitale Plattformen und Ökosysteme im B2B-Bereich
publisher: Springer Gabler
status: public
title: Anwendung von System Dynamics zur Geschäftsmodellinnovation in einem B2B-Ökosystem
type: book_chapter
user_id: '29951'
year: '2024'
...
---
_id: '53282'
abstract:
- lang: eng
  text: "Modern wireless communication systems are expected to provide improved\r\nlatency
    and reliability. To meet these expectations, a short packet length is\r\nneeded,
    which makes the first-order Shannon rate an inaccurate performance\r\nmetric for
    such communication systems. A more accurate approximation of the\r\nachievable
    rates of finite-block-length (FBL) coding regimes is known as the\r\nnormal approximation
    (NA). It is therefore of substantial interest to study the\r\noptimization of
    the FBL rate in multi-user multiple-input multiple-output\r\n(MIMO) systems, in
    which each user may transmit and/or receive multiple data\r\nstreams. Hence, we
    formulate a general optimization problem for improving the\r\nspectral and energy
    efficiency of multi-user MIMO-aided ultra-reliable\r\nlow-latency communication
    (URLLC) systems, which are assisted by reconfigurable\r\nintelligent surfaces
    (RISs). We show that a RIS is capable of substantially\r\nimproving the performance
    of multi-user MIMO-aided URLLC systems. Moreover, the\r\nbenefits of RIS increase
    as the packet length and/or the tolerable bit error\r\nrate are reduced. This
    reveals that RISs can be even more beneficial in URLLC\r\nsystems for improving
    the FBL rates than in conventional systems approaching\r\nShannon rates."
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
- first_name: Robert
  full_name: Schober, Robert
  last_name: Schober
- first_name: Lajos
  full_name: Hanzo, Lajos
  last_name: Hanzo
citation:
  ama: Soleymani M, Santamaria I, Jorswieck E, Schober R, Hanzo L. Optimization of
    the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC MIMO
    Systems. <i>arXiv:240216434</i>. Published online 2024.
  apa: Soleymani, M., Santamaria, I., Jorswieck, E., Schober, R., &#38; Hanzo, L.
    (2024). Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided
    Multi-user URLLC MIMO Systems. In <i>arXiv:2402.16434</i>.
  bibtex: '@article{Soleymani_Santamaria_Jorswieck_Schober_Hanzo_2024, title={Optimization
    of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC
    MIMO Systems}, journal={arXiv:2402.16434}, author={Soleymani, Mohammad and Santamaria,
    Ignacio and Jorswieck, Eduard and Schober, Robert and Hanzo, Lajos}, year={2024}
    }'
  chicago: Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, Robert Schober,
    and Lajos Hanzo. “Optimization of the Downlink Spectral- and Energy-Efficiency
    of  RIS-Aided Multi-User URLLC MIMO Systems.” <i>ArXiv:2402.16434</i>, 2024.
  ieee: M. Soleymani, I. Santamaria, E. Jorswieck, R. Schober, and L. Hanzo, “Optimization
    of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC
    MIMO Systems,” <i>arXiv:2402.16434</i>. 2024.
  mla: Soleymani, Mohammad, et al. “Optimization of the Downlink Spectral- and Energy-Efficiency
    of  RIS-Aided Multi-User URLLC MIMO Systems.” <i>ArXiv:2402.16434</i>, 2024.
  short: M. Soleymani, I. Santamaria, E. Jorswieck, R. Schober, L. Hanzo, ArXiv:2402.16434
    (2024).
date_created: 2024-04-05T09:16:32Z
date_updated: 2024-04-05T13:18:19Z
department:
- _id: '263'
external_id:
  arxiv:
  - '2402.16434'
language:
- iso: eng
publication: arXiv:2402.16434
status: public
title: Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided
  Multi-user URLLC MIMO Systems
type: preprint
user_id: '67076'
year: '2024'
...
---
_id: '53259'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Aydin
  full_name: Sezgin, Aydin
  last_name: Sezgin
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
citation:
  ama: 'Soleymani M, Santamaria I, Sezgin A, Jorswieck E. Maximization of Minimum
    Rate in MIMO OFDM RIS-Assisted Broadcast Channels. In: <i>2023 IEEE 9th International
    Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)</i>.
    IEEE; 2024. doi:<a href="https://doi.org/10.1109/camsap58249.2023.10403459">10.1109/camsap58249.2023.10403459</a>'
  apa: Soleymani, M., Santamaria, I., Sezgin, A., &#38; Jorswieck, E. (2024). Maximization
    of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels. <i>2023 IEEE 9th
    International Workshop on Computational Advances in Multi-Sensor Adaptive Processing
    (CAMSAP)</i>. <a href="https://doi.org/10.1109/camsap58249.2023.10403459">https://doi.org/10.1109/camsap58249.2023.10403459</a>
  bibtex: '@inproceedings{Soleymani_Santamaria_Sezgin_Jorswieck_2024, title={Maximization
    of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels}, DOI={<a href="https://doi.org/10.1109/camsap58249.2023.10403459">10.1109/camsap58249.2023.10403459</a>},
    booktitle={2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor
    Adaptive Processing (CAMSAP)}, publisher={IEEE}, author={Soleymani, Mohammad and
    Santamaria, Ignacio and Sezgin, Aydin and Jorswieck, Eduard}, year={2024} }'
  chicago: Soleymani, Mohammad, Ignacio Santamaria, Aydin Sezgin, and Eduard Jorswieck.
    “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels.” In
    <i>2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor
    Adaptive Processing (CAMSAP)</i>. IEEE, 2024. <a href="https://doi.org/10.1109/camsap58249.2023.10403459">https://doi.org/10.1109/camsap58249.2023.10403459</a>.
  ieee: 'M. Soleymani, I. Santamaria, A. Sezgin, and E. Jorswieck, “Maximization of
    Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels,” 2024, doi: <a href="https://doi.org/10.1109/camsap58249.2023.10403459">10.1109/camsap58249.2023.10403459</a>.'
  mla: Soleymani, Mohammad, et al. “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted
    Broadcast Channels.” <i>2023 IEEE 9th International Workshop on Computational
    Advances in Multi-Sensor Adaptive Processing (CAMSAP)</i>, IEEE, 2024, doi:<a
    href="https://doi.org/10.1109/camsap58249.2023.10403459">10.1109/camsap58249.2023.10403459</a>.
  short: 'M. Soleymani, I. Santamaria, A. Sezgin, E. Jorswieck, in: 2023 IEEE 9th
    International Workshop on Computational Advances in Multi-Sensor Adaptive Processing
    (CAMSAP), IEEE, 2024.'
date_created: 2024-04-05T09:00:06Z
date_updated: 2024-04-05T13:20:28Z
department:
- _id: '263'
doi: 10.1109/camsap58249.2023.10403459
language:
- iso: eng
publication: 2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor
  Adaptive Processing (CAMSAP)
publication_status: published
publisher: IEEE
status: public
title: Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels
type: conference
user_id: '67076'
year: '2024'
...
---
_id: '53258'
author:
- first_name: Mohammad
  full_name: Soleymani, Mohammad
  last_name: Soleymani
- first_name: Ignacio
  full_name: Santamaria, Ignacio
  last_name: Santamaria
- first_name: Eduard
  full_name: Jorswieck, Eduard
  last_name: Jorswieck
citation:
  ama: 'Soleymani M, Santamaria I, Jorswieck E. NOMA-Based Improper Signaling for
    MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments. In: <i>GLOBECOM
    2023 - 2023 IEEE Global Communications Conference</i>. IEEE; 2024. doi:<a href="https://doi.org/10.1109/globecom54140.2023.10437458">10.1109/globecom54140.2023.10437458</a>'
  apa: Soleymani, M., Santamaria, I., &#38; Jorswieck, E. (2024). NOMA-Based Improper
    Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments.
    <i>GLOBECOM 2023 - 2023 IEEE Global Communications Conference</i>. <a href="https://doi.org/10.1109/globecom54140.2023.10437458">https://doi.org/10.1109/globecom54140.2023.10437458</a>
  bibtex: '@inproceedings{Soleymani_Santamaria_Jorswieck_2024, title={NOMA-Based Improper
    Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments},
    DOI={<a href="https://doi.org/10.1109/globecom54140.2023.10437458">10.1109/globecom54140.2023.10437458</a>},
    booktitle={GLOBECOM 2023 - 2023 IEEE Global Communications Conference}, publisher={IEEE},
    author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard}, year={2024}
    }'
  chicago: Soleymani, Mohammad, Ignacio Santamaria, and Eduard Jorswieck. “NOMA-Based
    Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware
    Impairments.” In <i>GLOBECOM 2023 - 2023 IEEE Global Communications Conference</i>.
    IEEE, 2024. <a href="https://doi.org/10.1109/globecom54140.2023.10437458">https://doi.org/10.1109/globecom54140.2023.10437458</a>.
  ieee: 'M. Soleymani, I. Santamaria, and E. Jorswieck, “NOMA-Based Improper Signaling
    for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments,” 2024,
    doi: <a href="https://doi.org/10.1109/globecom54140.2023.10437458">10.1109/globecom54140.2023.10437458</a>.'
  mla: Soleymani, Mohammad, et al. “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted
    Broadcast Channels with Hardware Impairments.” <i>GLOBECOM 2023 - 2023 IEEE Global
    Communications Conference</i>, IEEE, 2024, doi:<a href="https://doi.org/10.1109/globecom54140.2023.10437458">10.1109/globecom54140.2023.10437458</a>.
  short: 'M. Soleymani, I. Santamaria, E. Jorswieck, in: GLOBECOM 2023 - 2023 IEEE
    Global Communications Conference, IEEE, 2024.'
date_created: 2024-04-05T08:59:35Z
date_updated: 2024-04-05T13:21:21Z
department:
- _id: '263'
doi: 10.1109/globecom54140.2023.10437458
language:
- iso: eng
publication: GLOBECOM 2023 - 2023 IEEE Global Communications Conference
publication_status: published
publisher: IEEE
status: public
title: NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels
  with Hardware Impairments
type: conference
user_id: '67076'
year: '2024'
...
---
_id: '53304'
author:
- first_name: Maurice
  full_name: Kuschel, Maurice
  id: '56070'
  last_name: Kuschel
- first_name: Tanuj
  full_name: Hasija, Tanuj
  id: '43497'
  last_name: Hasija
- first_name: Timothy
  full_name: Marrinan, Timothy
  last_name: Marrinan
citation:
  ama: 'Kuschel M, Hasija T, Marrinan T. Rademacher Complexity Regularization for
    Correlation-Based Multiview Representation Learning. In: <i>ICASSP 2024 - 2024
    IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>.
    IEEE; 2024. doi:<a href="https://doi.org/10.1109/icassp48485.2024.10446173">10.1109/icassp48485.2024.10446173</a>'
  apa: Kuschel, M., Hasija, T., &#38; Marrinan, T. (2024). Rademacher Complexity Regularization
    for Correlation-Based Multiview Representation Learning. <i>ICASSP 2024 - 2024
    IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>.
    <a href="https://doi.org/10.1109/icassp48485.2024.10446173">https://doi.org/10.1109/icassp48485.2024.10446173</a>
  bibtex: '@inproceedings{Kuschel_Hasija_Marrinan_2024, title={Rademacher Complexity
    Regularization for Correlation-Based Multiview Representation Learning}, DOI={<a
    href="https://doi.org/10.1109/icassp48485.2024.10446173">10.1109/icassp48485.2024.10446173</a>},
    booktitle={ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech
    and Signal Processing (ICASSP)}, publisher={IEEE}, author={Kuschel, Maurice and
    Hasija, Tanuj and Marrinan, Timothy}, year={2024} }'
  chicago: Kuschel, Maurice, Tanuj Hasija, and Timothy Marrinan. “Rademacher Complexity
    Regularization for Correlation-Based Multiview Representation Learning.” In <i>ICASSP
    2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP)</i>. IEEE, 2024. <a href="https://doi.org/10.1109/icassp48485.2024.10446173">https://doi.org/10.1109/icassp48485.2024.10446173</a>.
  ieee: 'M. Kuschel, T. Hasija, and T. Marrinan, “Rademacher Complexity Regularization
    for Correlation-Based Multiview Representation Learning,” 2024, doi: <a href="https://doi.org/10.1109/icassp48485.2024.10446173">10.1109/icassp48485.2024.10446173</a>.'
  mla: Kuschel, Maurice, et al. “Rademacher Complexity Regularization for Correlation-Based
    Multiview Representation Learning.” <i>ICASSP 2024 - 2024 IEEE International Conference
    on Acoustics, Speech and Signal Processing (ICASSP)</i>, IEEE, 2024, doi:<a href="https://doi.org/10.1109/icassp48485.2024.10446173">10.1109/icassp48485.2024.10446173</a>.
  short: 'M. Kuschel, T. Hasija, T. Marrinan, in: ICASSP 2024 - 2024 IEEE International
    Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2024.'
date_created: 2024-04-05T14:40:34Z
date_updated: 2024-04-05T14:50:14Z
department:
- _id: '263'
doi: 10.1109/icassp48485.2024.10446173
language:
- iso: eng
publication: ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech
  and Signal Processing (ICASSP)
publication_status: published
publisher: IEEE
status: public
title: Rademacher Complexity Regularization for Correlation-Based Multiview Representation
  Learning
type: conference
user_id: '56070'
year: '2024'
...
---
_id: '53316'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>The quasilinear Keller–Segel system
    <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{
    \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla
    v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mfenced>\r\n                            <mml:mrow>\r\n
    \                             <mml:mtable>\r\n                                <mml:mtr>\r\n
    \                                 <mml:mtd>\r\n                                    <mml:mrow>\r\n
    \                                     <mml:msub>\r\n                                        <mml:mi>u</mml:mi>\r\n
    \                                       <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n
    \                                     <mml:mo>=</mml:mo>\r\n                                      <mml:mi>∇</mml:mi>\r\n
    \                                     <mml:mo>·</mml:mo>\r\n                                      <mml:mrow>\r\n
    \                                       <mml:mo>(</mml:mo>\r\n                                        <mml:mi>D</mml:mi>\r\n
    \                                       <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n
    \                                         <mml:mi>u</mml:mi>\r\n                                          <mml:mo>)</mml:mo>\r\n
    \                                       </mml:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n
    \                                       <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n
    \                                     </mml:mrow>\r\n                                      <mml:mo>-</mml:mo>\r\n
    \                                     <mml:mi>∇</mml:mi>\r\n                                      <mml:mo>·</mml:mo>\r\n
    \                                     <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n
    \                                       <mml:mi>S</mml:mi>\r\n                                        <mml:mrow>\r\n
    \                                         <mml:mo>(</mml:mo>\r\n                                          <mml:mi>u</mml:mi>\r\n
    \                                         <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n
    \                                       <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>v</mml:mi>\r\n
    \                                       <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n
    \                                     <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n
    \                                 </mml:mtd>\r\n                                </mml:mtr>\r\n
    \                               <mml:mtr>\r\n                                  <mml:mtd>\r\n
    \                                   <mml:mrow>\r\n                                      <mml:mrow
    />\r\n                                      <mml:msub>\r\n                                        <mml:mi>v</mml:mi>\r\n
    \                                       <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n
    \                                     <mml:mo>=</mml:mo>\r\n                                      <mml:mi>Δ</mml:mi>\r\n
    \                                     <mml:mi>v</mml:mi>\r\n                                      <mml:mo>-</mml:mo>\r\n
    \                                     <mml:mi>v</mml:mi>\r\n                                      <mml:mo>+</mml:mo>\r\n
    \                                     <mml:mi>u</mml:mi>\r\n                                      <mml:mo>,</mml:mo>\r\n
    \                                   </mml:mrow>\r\n                                  </mml:mtd>\r\n
    \                               </mml:mtr>\r\n                              </mml:mtable>\r\n
    \                           </mml:mrow>\r\n                          </mml:mfenced>\r\n
    \                       </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>endowed
    with homogeneous Neumann boundary conditions is considered in a bounded domain
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega \\subset {\\mathbb
    {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>⊂</mml:mo>\r\n
    \                   <mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mi>R</mml:mi>\r\n
    \                     </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n
    \                   </mml:msup>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    with smooth boundary for sufficiently regular functions <jats:italic>D</jats:italic>
    and <jats:italic>S</jats:italic> satisfying <jats:inline-formula><jats:alternatives><jats:tex-math>$$D&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>D</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    on <jats:inline-formula><jats:alternatives><jats:tex-math>$$[0,\\infty )$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mo>[</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                   <mml:mo>,</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n
    \                   <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$S&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    on <jats:inline-formula><jats:alternatives><jats:tex-math>$$(0,\\infty )$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mo>(</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                   <mml:mo>,</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n
    \                   <mml:mo>)</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    and <jats:inline-formula><jats:alternatives><jats:tex-math>$$S(0)=0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mo>(</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                    <mml:mo>)</mml:mo>\r\n
    \                   <mml:mo>=</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>.
    On the one hand, it is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mfrac>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mi>D</mml:mi>\r\n
    \                 </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    satisfies the subcritical growth condition <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge
    1 \\qquad \\text{ with } \\text{ some } \\alpha &lt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mrow>\r\n                            <mml:mfrac>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>S</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                           </mml:mfrac>\r\n                            <mml:mo>≤</mml:mo>\r\n
    \                           <mml:mi>C</mml:mi>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>s</mml:mi>\r\n                              <mml:mi>α</mml:mi>\r\n
    \                           </mml:msup>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>for</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>s</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mn>1</mml:mn>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>with</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>some</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n
    \                           <mml:mfrac>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                             <mml:mi>n</mml:mi>\r\n                            </mml:mfrac>\r\n
    \                         </mml:mrow>\r\n                        </mml:mtd>\r\n
    \                     </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:disp-formula>and <jats:inline-formula><jats:alternatives><jats:tex-math>$$C&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>C</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    then for any sufficiently regular initial data there exists a global weak energy
    solution such that <jats:inline-formula><jats:alternatives><jats:tex-math>$${
    \\mathrm{{ess}}} \\sup _{t&gt;0} \\Vert u(t) \\Vert _{L^p(\\Omega )}&lt;\\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>ess</mml:mi>\r\n                    <mml:msub>\r\n
    \                     <mml:mo>sup</mml:mo>\r\n                      <mml:mrow>\r\n
    \                       <mml:mi>t</mml:mi>\r\n                        <mml:mo>&gt;</mml:mo>\r\n
    \                       <mml:mn>0</mml:mn>\r\n                      </mml:mrow>\r\n
    \                   </mml:msub>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n
    \                       <mml:mo>‖</mml:mo>\r\n                        <mml:mi>u</mml:mi>\r\n
    \                       <mml:mrow>\r\n                          <mml:mo>(</mml:mo>\r\n
    \                         <mml:mi>t</mml:mi>\r\n                          <mml:mo>)</mml:mo>\r\n
    \                       </mml:mrow>\r\n                        <mml:mo>‖</mml:mo>\r\n
    \                     </mml:mrow>\r\n                      <mml:mrow>\r\n                        <mml:msup>\r\n
    \                         <mml:mi>L</mml:mi>\r\n                          <mml:mi>p</mml:mi>\r\n
    \                       </mml:msup>\r\n                        <mml:mrow>\r\n
    \                         <mml:mo>(</mml:mo>\r\n                          <mml:mi>Ω</mml:mi>\r\n
    \                         <mml:mo>)</mml:mo>\r\n                        </mml:mrow>\r\n
    \                     </mml:mrow>\r\n                    </mml:msub>\r\n                    <mml:mo>&lt;</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    for some <jats:inline-formula><jats:alternatives><jats:tex-math>$$p &gt; \\frac{2n}{n+2}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>p</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mfrac>\r\n                      <mml:mrow>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                       <mml:mi>n</mml:mi>\r\n                      </mml:mrow>\r\n
    \                     <mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n
    \                       <mml:mo>+</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                     </mml:mrow>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:inline-formula>. On the
    other hand, if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\frac{S}{D}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mfrac>\r\n
    \                   <mml:mi>S</mml:mi>\r\n                    <mml:mi>D</mml:mi>\r\n
    \                 </mml:mfrac>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    satisfies the supercritical growth condition <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned}
    \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge
    1 \\qquad \\text{ with } \\text{ some } \\alpha &gt; \\frac{2}{n} \\end{aligned}$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n
    \                         <mml:mrow>\r\n                            <mml:mfrac>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>S</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                             <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n
    \                               <mml:mo>(</mml:mo>\r\n                                <mml:mi>s</mml:mi>\r\n
    \                               <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n
    \                           </mml:mfrac>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mi>c</mml:mi>\r\n                            <mml:msup>\r\n
    \                             <mml:mi>s</mml:mi>\r\n                              <mml:mi>α</mml:mi>\r\n
    \                           </mml:msup>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>for</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>s</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n
    \                           <mml:mn>1</mml:mn>\r\n                            <mml:mspace
    />\r\n                            <mml:mspace />\r\n                            <mml:mtext>with</mml:mtext>\r\n
    \                           <mml:mspace />\r\n                            <mml:mspace
    />\r\n                            <mml:mtext>some</mml:mtext>\r\n                            <mml:mspace
    />\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n
    \                           <mml:mfrac>\r\n                              <mml:mn>2</mml:mn>\r\n
    \                             <mml:mi>n</mml:mi>\r\n                            </mml:mfrac>\r\n
    \                         </mml:mrow>\r\n                        </mml:mtd>\r\n
    \                     </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n
    \               </mml:math></jats:alternatives></jats:disp-formula>and <jats:inline-formula><jats:alternatives><jats:tex-math>$$c&gt;0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>c</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    then the nonexistence of a global weak energy solution having the boundedness
    property stated above is shown for some initial data in the radial setting. This
    establishes some criticality of the value <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\alpha
    = \\frac{2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>α</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n
    \                   <mml:mfrac>\r\n                      <mml:mn>2</mml:mn>\r\n
    \                     <mml:mi>n</mml:mi>\r\n                    </mml:mfrac>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    for <jats:inline-formula><jats:alternatives><jats:tex-math>$$n \\ge 3$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    without any additional assumption on the behavior of <jats:italic>D</jats:italic>(<jats:italic>s</jats:italic>)
    as <jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\rightarrow \\infty
    $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>s</mml:mi>\r\n                    <mml:mo>→</mml:mo>\r\n
    \                   <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    in particular without requiring any algebraic lower bound for <jats:italic>D</jats:italic>.
    When applied to the Keller–Segel system with volume-filling effect for probability
    distribution functions of the type <jats:inline-formula><jats:alternatives><jats:tex-math>$$Q(s)
    = \\exp (-s^\\beta )$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>Q</mml:mi>\r\n                    <mml:mrow>\r\n
    \                     <mml:mo>(</mml:mo>\r\n                      <mml:mi>s</mml:mi>\r\n
    \                     <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n
    \                   <mml:mo>=</mml:mo>\r\n                    <mml:mo>exp</mml:mo>\r\n
    \                   <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n
    \                     <mml:mo>-</mml:mo>\r\n                      <mml:msup>\r\n
    \                       <mml:mi>s</mml:mi>\r\n                        <mml:mi>β</mml:mi>\r\n
    \                     </mml:msup>\r\n                      <mml:mo>)</mml:mo>\r\n
    \                   </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    <jats:inline-formula><jats:alternatives><jats:tex-math>$$s \\ge 0$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n
    \                   <mml:mi>s</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n
    \                   <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>,
    for global solvability the exponent <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\beta
    = \\frac{n-2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mi>β</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n
    \                   <mml:mfrac>\r\n                      <mml:mrow>\r\n                        <mml:mi>n</mml:mi>\r\n
    \                       <mml:mo>-</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n
    \                     </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n
    \                   </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    is seen to be critical.\r\n</jats:p>"
article_number: '26'
author:
- first_name: Christian
  full_name: Stinner, Christian
  last_name: Stinner
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system
    with arbitrarily fast decaying diffusivities accounting for volume-filling effects.
    <i>Journal of Evolution Equations</i>. 2024;24(2). doi:<a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>
  apa: Stinner, C., &#38; Winkler, M. (2024). A critical exponent in a quasilinear
    Keller–Segel system with arbitrarily fast decaying diffusivities accounting for
    volume-filling effects. <i>Journal of Evolution Equations</i>, <i>24</i>(2), Article
    26. <a href="https://doi.org/10.1007/s00028-024-00954-x">https://doi.org/10.1007/s00028-024-00954-x</a>
  bibtex: '@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear
    Keller–Segel system with arbitrarily fast decaying diffusivities accounting for
    volume-filling effects}, volume={24}, DOI={<a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>},
    number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science
    and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024}
    }'
  chicago: Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear
    Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for
    Volume-Filling Effects.” <i>Journal of Evolution Equations</i> 24, no. 2 (2024).
    <a href="https://doi.org/10.1007/s00028-024-00954-x">https://doi.org/10.1007/s00028-024-00954-x</a>.
  ieee: 'C. Stinner and M. Winkler, “A critical exponent in a quasilinear Keller–Segel
    system with arbitrarily fast decaying diffusivities accounting for volume-filling
    effects,” <i>Journal of Evolution Equations</i>, vol. 24, no. 2, Art. no. 26,
    2024, doi: <a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>.'
  mla: Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear
    Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for
    Volume-Filling Effects.” <i>Journal of Evolution Equations</i>, vol. 24, no. 2,
    26, Springer Science and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s00028-024-00954-x">10.1007/s00028-024-00954-x</a>.
  short: C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).
date_created: 2024-04-07T12:29:25Z
date_updated: 2024-04-07T12:36:21Z
doi: 10.1007/s00028-024-00954-x
intvolume: '        24'
issue: '2'
keyword:
- Mathematics (miscellaneous)
language:
- iso: eng
publication: Journal of Evolution Equations
publication_identifier:
  issn:
  - 1424-3199
  - 1424-3202
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast
  decaying diffusivities accounting for volume-filling effects
type: journal_article
user_id: '31496'
volume: 24
year: '2024'
...
---
_id: '53315'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>In a smoothly bounded two‐dimensional
    domain  and for a given nondecreasing positive unbounded , for each  and  the
    inequality\r\n<jats:disp-formula />is shown to hold for any positive  fulfilling\r\n<jats:disp-formula
    />This is thereafter applied to nonglobal solutions of the Keller–Segel system
    coupled to the incompressible Navier–Stokes equations through transport and buoyancy,
    and it is seen that in any such blow‐up event the corresponding population density
    cannot remain uniformly integrable over  near its explosion time.</jats:p>"
author:
- first_name: Yulan
  full_name: Wang, Yulan
  last_name: Wang
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Wang Y, Winkler M. An interpolation inequality involving $L\log L$ spaces and
    application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes
    system. <i>Journal of the London Mathematical Society</i>. 2024;109(3). doi:<a
    href="https://doi.org/10.1112/jlms.12885">10.1112/jlms.12885</a>
  apa: Wang, Y., &#38; Winkler, M. (2024). An interpolation inequality involving $L\log
    L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional
    Keller–Segel–Navier–Stokes system. <i>Journal of the London Mathematical Society</i>,
    <i>109</i>(3). <a href="https://doi.org/10.1112/jlms.12885">https://doi.org/10.1112/jlms.12885</a>
  bibtex: '@article{Wang_Winkler_2024, title={An interpolation inequality involving
    $L\log L$ spaces and application to the characterization of blow‐up behavior in
    a two‐dimensional Keller–Segel–Navier–Stokes system}, volume={109}, DOI={<a href="https://doi.org/10.1112/jlms.12885">10.1112/jlms.12885</a>},
    number={3}, journal={Journal of the London Mathematical Society}, publisher={Wiley},
    author={Wang, Yulan and Winkler, Michael}, year={2024} }'
  chicago: Wang, Yulan, and Michael Winkler. “An Interpolation Inequality Involving
    $L\log L$ Spaces and Application to the Characterization of Blow‐up Behavior in
    a Two‐dimensional Keller–Segel–Navier–Stokes System.” <i>Journal of the London
    Mathematical Society</i> 109, no. 3 (2024). <a href="https://doi.org/10.1112/jlms.12885">https://doi.org/10.1112/jlms.12885</a>.
  ieee: 'Y. Wang and M. Winkler, “An interpolation inequality involving $L\log L$
    spaces and application to the characterization of blow‐up behavior in a two‐dimensional
    Keller–Segel–Navier–Stokes system,” <i>Journal of the London Mathematical Society</i>,
    vol. 109, no. 3, 2024, doi: <a href="https://doi.org/10.1112/jlms.12885">10.1112/jlms.12885</a>.'
  mla: Wang, Yulan, and Michael Winkler. “An Interpolation Inequality Involving $L\log
    L$ Spaces and Application to the Characterization of Blow‐up Behavior in a Two‐dimensional
    Keller–Segel–Navier–Stokes System.” <i>Journal of the London Mathematical Society</i>,
    vol. 109, no. 3, Wiley, 2024, doi:<a href="https://doi.org/10.1112/jlms.12885">10.1112/jlms.12885</a>.
  short: Y. Wang, M. Winkler, Journal of the London Mathematical Society 109 (2024).
date_created: 2024-04-07T12:27:28Z
date_updated: 2024-04-07T12:36:25Z
doi: 10.1112/jlms.12885
intvolume: '       109'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
publication: Journal of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6107
  - 1469-7750
publication_status: published
publisher: Wiley
status: public
title: An interpolation inequality involving $L\log L$ spaces and application to the
  characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes
  system
type: journal_article
user_id: '31496'
volume: 109
year: '2024'
...
---
_id: '53375'
author:
- first_name: Fabian
  full_name: Voß, Fabian
  id: '42693'
  last_name: Voß
citation:
  ama: 'Voß F. Rezension zu Anna-Victoria Bognár: Der Architekt in der Frühen Neuzeit.
    Ausbildung, Karrierewege, Berufsfelder (=Höfische Kultur interdisziplinär. Schriften
    und Materialien des Rudolfstädter Arbeitskreises. 2). Heidelberg 2020. <i>Mitteilungen
    des Instituts für Europäische Kulturgeschichte</i>. Published online 2024.'
  apa: 'Voß, F. (2024). Rezension zu Anna-Victoria Bognár: Der Architekt in der Frühen
    Neuzeit. Ausbildung, Karrierewege, Berufsfelder (=Höfische Kultur interdisziplinär.
    Schriften und Materialien des Rudolfstädter Arbeitskreises. 2). Heidelberg 2020.
    <i>Mitteilungen Des Instituts Für Europäische Kulturgeschichte</i>.'
  bibtex: '@article{Voß_2024, title={Rezension zu Anna-Victoria Bognár: Der Architekt
    in der Frühen Neuzeit. Ausbildung, Karrierewege, Berufsfelder (=Höfische Kultur
    interdisziplinär. Schriften und Materialien des Rudolfstädter Arbeitskreises.
    2). Heidelberg 2020.}, journal={Mitteilungen des Instituts für Europäische Kulturgeschichte},
    author={Voß, Fabian}, year={2024} }'
  chicago: 'Voß, Fabian. “Rezension Zu Anna-Victoria Bognár: Der Architekt in Der
    Frühen Neuzeit. Ausbildung, Karrierewege, Berufsfelder (=Höfische Kultur Interdisziplinär.
    Schriften Und Materialien Des Rudolfstädter Arbeitskreises. 2). Heidelberg 2020.”
    <i>Mitteilungen Des Instituts Für Europäische Kulturgeschichte</i>, 2024.'
  ieee: 'F. Voß, “Rezension zu Anna-Victoria Bognár: Der Architekt in der Frühen Neuzeit.
    Ausbildung, Karrierewege, Berufsfelder (=Höfische Kultur interdisziplinär. Schriften
    und Materialien des Rudolfstädter Arbeitskreises. 2). Heidelberg 2020.,” <i>Mitteilungen
    des Instituts für Europäische Kulturgeschichte</i>, 2024.'
  mla: 'Voß, Fabian. “Rezension Zu Anna-Victoria Bognár: Der Architekt in Der Frühen
    Neuzeit. Ausbildung, Karrierewege, Berufsfelder (=Höfische Kultur Interdisziplinär.
    Schriften Und Materialien Des Rudolfstädter Arbeitskreises. 2). Heidelberg 2020.”
    <i>Mitteilungen Des Instituts Für Europäische Kulturgeschichte</i>, 2024.'
  short: F. Voß, Mitteilungen Des Instituts Für Europäische Kulturgeschichte (2024).
date_created: 2024-04-09T11:55:21Z
date_updated: 2024-04-09T11:58:06Z
language:
- iso: eng
publication: Mitteilungen des Instituts für Europäische Kulturgeschichte
status: public
title: 'Rezension zu Anna-Victoria Bognár: Der Architekt in der Frühen Neuzeit. Ausbildung,
  Karrierewege, Berufsfelder (=Höfische Kultur interdisziplinär. Schriften und Materialien
  des Rudolfstädter Arbeitskreises. 2). Heidelberg 2020.'
type: journal_article
user_id: '42693'
year: '2024'
...
---
_id: '53374'
author:
- first_name: Carsten
  full_name: De Groote, Carsten
  last_name: De Groote
citation:
  ama: De Groote C. <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary
    Shapes</i>.; 2024.
  apa: De Groote, C. (2024). <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal
    Boundary Shapes</i>.
  bibtex: '@book{De Groote_2024, title={A Dispersion Algorithm for Robot Swarms Inside
    Polygonal Boundary Shapes}, author={De Groote, Carsten}, year={2024} }'
  chicago: De Groote, Carsten. <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal
    Boundary Shapes</i>, 2024.
  ieee: C. De Groote, <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal
    Boundary Shapes</i>. 2024.
  mla: De Groote, Carsten. <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal
    Boundary Shapes</i>. 2024.
  short: C. De Groote, A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary
    Shapes, 2024.
date_created: 2024-04-09T11:35:20Z
date_updated: 2024-04-09T11:35:41Z
department:
- _id: '34'
- _id: '7'
- _id: '79'
language:
- iso: eng
status: public
supervisor:
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
title: A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes
type: mastersthesis
user_id: '15578'
year: '2024'
...
---
_id: '53373'
author:
- first_name: Rajesh
  full_name: Doddegowda, Rajesh
  last_name: Doddegowda
citation:
  ama: Doddegowda R. <i>Optimal Drone Strategies For Packet Delivery</i>.; 2024.
  apa: Doddegowda, R. (2024). <i>Optimal Drone Strategies For Packet Delivery</i>.
  bibtex: '@book{Doddegowda_2024, title={Optimal Drone Strategies For Packet Delivery},
    author={Doddegowda, Rajesh}, year={2024} }'
  chicago: Doddegowda, Rajesh. <i>Optimal Drone Strategies For Packet Delivery</i>,
    2024.
  ieee: R. Doddegowda, <i>Optimal Drone Strategies For Packet Delivery</i>. 2024.
  mla: Doddegowda, Rajesh. <i>Optimal Drone Strategies For Packet Delivery</i>. 2024.
  short: R. Doddegowda, Optimal Drone Strategies For Packet Delivery, 2024.
date_created: 2024-04-09T11:31:47Z
date_updated: 2024-04-09T11:32:20Z
department:
- _id: '34'
- _id: '7'
- _id: '79'
language:
- iso: eng
status: public
supervisor:
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
title: Optimal Drone Strategies For Packet Delivery
type: mastersthesis
user_id: '15578'
year: '2024'
...
---
_id: '53372'
author:
- first_name: Heena
  full_name: Thakur, Heena
  last_name: Thakur
citation:
  ama: Thakur H. <i>Evaluating the Implications</i>.; 2024.
  apa: Thakur, H. (2024). <i>Evaluating the Implications</i>.
  bibtex: '@book{Thakur_2024, title={Evaluating the Implications}, author={Thakur,
    Heena}, year={2024} }'
  chicago: Thakur, Heena. <i>Evaluating the Implications</i>, 2024.
  ieee: H. Thakur, <i>Evaluating the Implications</i>. 2024.
  mla: Thakur, Heena. <i>Evaluating the Implications</i>. 2024.
  short: H. Thakur, Evaluating the Implications, 2024.
date_created: 2024-04-09T11:28:39Z
date_updated: 2024-04-09T11:29:24Z
department:
- _id: '34'
- _id: '7'
- _id: '79'
language:
- iso: eng
status: public
supervisor:
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
title: Evaluating the Implications
type: mastersthesis
user_id: '15578'
year: '2024'
...
---
_id: '53394'
author:
- first_name: Gunter
  full_name: Kullmer, Gunter
  id: '291'
  last_name: Kullmer
- first_name: Deborah
  full_name: Weiß, Deborah
  id: '45673'
  last_name: Weiß
- first_name: Britta
  full_name: Schramm, Britta
  id: '4668'
  last_name: Schramm
citation:
  ama: 'Kullmer G, Weiß D, Schramm B. Weiterentwicklung des Exponentialansatzes zur
    Beschreibung von Rissfortschrittskurven. In: Deutscher Verband für Materialforschung
    und –prüfung e.V.; 2024. doi:<a href="https://doi.org/10.48447/BR-2024-369">10.48447/BR-2024-369</a>'
  apa: Kullmer, G., Weiß, D., &#38; Schramm, B. (2024). <i>Weiterentwicklung des Exponentialansatzes
    zur Beschreibung von Rissfortschrittskurven</i>. 56. Tagung des DVM-Arbeitskreises
    Bruchmechanik und Bauteilsicherheit , Kassel. <a href="https://doi.org/10.48447/BR-2024-369">https://doi.org/10.48447/BR-2024-369</a>
  bibtex: '@inproceedings{Kullmer_Weiß_Schramm_2024, title={Weiterentwicklung des
    Exponentialansatzes zur Beschreibung von Rissfortschrittskurven}, DOI={<a href="https://doi.org/10.48447/BR-2024-369">10.48447/BR-2024-369</a>},
    publisher={Deutscher Verband für Materialforschung und –prüfung e.V.}, author={Kullmer,
    Gunter and Weiß, Deborah and Schramm, Britta}, year={2024} }'
  chicago: Kullmer, Gunter, Deborah Weiß, and Britta Schramm. “Weiterentwicklung des
    Exponentialansatzes zur Beschreibung von Rissfortschrittskurven.” Deutscher Verband
    für Materialforschung und –prüfung e.V., 2024. <a href="https://doi.org/10.48447/BR-2024-369">https://doi.org/10.48447/BR-2024-369</a>.
  ieee: 'G. Kullmer, D. Weiß, and B. Schramm, “Weiterentwicklung des Exponentialansatzes
    zur Beschreibung von Rissfortschrittskurven,” presented at the 56. Tagung des
    DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit , Kassel, 2024, doi: <a
    href="https://doi.org/10.48447/BR-2024-369">10.48447/BR-2024-369</a>.'
  mla: Kullmer, Gunter, et al. <i>Weiterentwicklung des Exponentialansatzes zur Beschreibung
    von Rissfortschrittskurven</i>. Deutscher Verband für Materialforschung und –prüfung
    e.V., 2024, doi:<a href="https://doi.org/10.48447/BR-2024-369">10.48447/BR-2024-369</a>.
  short: 'G. Kullmer, D. Weiß, B. Schramm, in: Deutscher Verband für Materialforschung
    und –prüfung e.V., 2024.'
conference:
  end_date: 2024-02-21
  location: Kassel
  name: '56. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit '
  start_date: 2024-02-20
date_created: 2024-04-10T07:58:29Z
date_updated: 2024-04-10T08:30:45Z
department:
- _id: '143'
doi: 10.48447/BR-2024-369
language:
- iso: ger
project:
- _id: '130'
  grant_number: '418701707'
  name: 'TRR 285: TRR 285'
- _id: '132'
  name: 'TRR 285 - B: TRR 285 - Project Area B'
- _id: '143'
  name: 'TRR 285 – B04: TRR 285 - Subproject B04'
publisher: Deutscher Verband für Materialforschung und –prüfung e.V.
status: public
title: Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven
type: conference
user_id: '45673'
year: '2024'
...
---
_id: '53397'
author:
- first_name: Lena Maria
  full_name: Magdeburg, Lena Maria
  id: '47572'
  last_name: Magdeburg
citation:
  ama: 'Magdeburg LM. Sterben und Tod in den Vorstellungen von Grundschulkindern.
    Eine qualitative Studie im Kontext von Sachunterrichtsdidaktik. In: Benkel T,
    Meitzler M, eds. <i>Jahrbuch für Tod und Gesellschaft</i>. Vol 3. Jahrbuch für
    Tod und Gesellschaft. Beltz Juventa; 2024:147-149.'
  apa: Magdeburg, L. M. (2024). Sterben und Tod in den Vorstellungen von Grundschulkindern.
    Eine qualitative Studie im Kontext von Sachunterrichtsdidaktik. In T. Benkel &#38;
    M. Meitzler (Eds.), <i>Jahrbuch für Tod und Gesellschaft</i> (Vol. 3, pp. 147–149).
    Beltz Juventa.
  bibtex: '@inbook{Magdeburg_2024, series={Jahrbuch für Tod und Gesellschaft}, title={Sterben
    und Tod in den Vorstellungen von Grundschulkindern. Eine qualitative Studie im
    Kontext von Sachunterrichtsdidaktik}, volume={3}, booktitle={Jahrbuch für Tod
    und Gesellschaft}, publisher={Beltz Juventa}, author={Magdeburg, Lena Maria},
    editor={Benkel, Thorsten and Meitzler, Matthias}, year={2024}, pages={147–149},
    collection={Jahrbuch für Tod und Gesellschaft} }'
  chicago: Magdeburg, Lena Maria. “Sterben und Tod in den Vorstellungen von Grundschulkindern.
    Eine qualitative Studie im Kontext von Sachunterrichtsdidaktik.” In <i>Jahrbuch
    für Tod und Gesellschaft</i>, edited by Thorsten Benkel and Matthias Meitzler,
    3:147–49. Jahrbuch für Tod und Gesellschaft. Beltz Juventa, 2024.
  ieee: L. M. Magdeburg, “Sterben und Tod in den Vorstellungen von Grundschulkindern.
    Eine qualitative Studie im Kontext von Sachunterrichtsdidaktik,” in <i>Jahrbuch
    für Tod und Gesellschaft</i>, vol. 3, T. Benkel and M. Meitzler, Eds. Beltz Juventa,
    2024, pp. 147–149.
  mla: Magdeburg, Lena Maria. “Sterben und Tod in den Vorstellungen von Grundschulkindern.
    Eine qualitative Studie im Kontext von Sachunterrichtsdidaktik.” <i>Jahrbuch für
    Tod und Gesellschaft</i>, edited by Thorsten Benkel and Matthias Meitzler, vol.
    3, Beltz Juventa, 2024, pp. 147–49.
  short: 'L.M. Magdeburg, in: T. Benkel, M. Meitzler (Eds.), Jahrbuch für Tod und
    Gesellschaft, Beltz Juventa, 2024, pp. 147–149.'
date_created: 2024-04-10T09:34:46Z
date_updated: 2024-04-10T09:37:58Z
editor:
- first_name: Thorsten
  full_name: Benkel, Thorsten
  last_name: Benkel
- first_name: Matthias
  full_name: Meitzler, Matthias
  last_name: Meitzler
intvolume: '         3'
language:
- iso: ger
page: 147-149
publication: Jahrbuch für Tod und Gesellschaft
publisher: Beltz Juventa
series_title: Jahrbuch für Tod und Gesellschaft
status: public
title: Sterben und Tod in den Vorstellungen von Grundschulkindern. Eine qualitative
  Studie im Kontext von Sachunterrichtsdidaktik
type: book_chapter
user_id: '47572'
volume: 3
year: '2024'
...
---
_id: '52096'
author:
- first_name: Hermann
  full_name: Kamp, Hermann
  id: '125'
  last_name: Kamp
citation:
  ama: Kamp H. Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein
    und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins </i>.
    2024;123/124, 2021-2022:137-167.
  apa: Kamp, H. (2024). Zwischen Beutesuche und politischen Ambitionen. Die Normannen
    an Rhein und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins
    </i>, <i>123/124, 2021–2022</i>, 137–167.
  bibtex: '@article{Kamp_2024, title={Zwischen Beutesuche und politischen Ambitionen.
    Die Normannen an Rhein und Maas zwischen 880 und 892}, volume={123/124, 2021–2022},
    journal={Zeitschrift des Aachener Geschichtsvereins }, publisher={VERLAGSDRUCKEREI
    SCHMIDT GMBH}, author={Kamp, Hermann}, year={2024}, pages={137–167} }'
  chicago: 'Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen
    an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins
    </i> 123/124, 2021–2022 (2024): 137–67.'
  ieee: H. Kamp, “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an
    Rhein und Maas zwischen 880 und 892,” <i>Zeitschrift des Aachener Geschichtsvereins
    </i>, vol. 123/124, 2021–2022, pp. 137–167, 2024.
  mla: Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen
    an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins
    </i>, vol. 123/124, 2021–2022, VERLAGSDRUCKEREI SCHMIDT GMBH, 2024, pp. 137–67.
  short: H. Kamp, Zeitschrift des Aachener Geschichtsvereins  123/124, 2021–2022 (2024)
    137–167.
date_created: 2024-02-27T10:52:14Z
date_updated: 2024-04-11T10:51:35Z
department:
- _id: '512'
language:
- iso: ger
page: 137-167
publication: 'Zeitschrift des Aachener Geschichtsvereins '
publication_identifier:
  unknown:
  - 978-3-87707-300-1
publication_status: published
publisher: VERLAGSDRUCKEREI SCHMIDT GMBH
status: public
title: Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und
  Maas zwischen 880 und 892
type: journal_article
user_id: '54666'
volume: 123/124, 2021-2022
year: '2024'
...
---
_id: '53066'
citation:
  ama: Eremin O, Langer A, Mattei A, Mahs C, eds. <i>Reproduktionspolitiken Und Selbstbestimmung</i>.
    Vol 16.; 2024.
  apa: Eremin, O., Langer, A., Mattei, A., &#38; Mahs, C. (Eds.). (2024). <i>Reproduktionspolitiken
    und Selbstbestimmung</i> (Vol. 16).
  bibtex: '@book{Eremin_Langer_Mattei_Mahs_2024, series={GENDER. Zeitschrift für Geschlecht,
    Kultur und Gesellschaft }, title={Reproduktionspolitiken und Selbstbestimmung},
    volume={16}, year={2024}, collection={GENDER. Zeitschrift für Geschlecht, Kultur
    und Gesellschaft } }'
  chicago: Eremin, Oxana, Antje Langer, Annalisa Mattei, and Claudia Mahs, eds. <i>Reproduktionspolitiken
    Und Selbstbestimmung</i>. Vol. 16. GENDER. Zeitschrift Für Geschlecht, Kultur
    Und Gesellschaft , 2024.
  ieee: O. Eremin, A. Langer, A. Mattei, and C. Mahs, Eds., <i>Reproduktionspolitiken
    und Selbstbestimmung</i>, vol. 16. 2024.
  mla: Eremin, Oxana, et al., editors. <i>Reproduktionspolitiken Und Selbstbestimmung</i>.
    2024.
  short: O. Eremin, A. Langer, A. Mattei, C. Mahs, eds., Reproduktionspolitiken Und
    Selbstbestimmung, 2024.
date_created: 2024-03-27T10:28:27Z
date_updated: 2024-04-11T08:32:17Z
editor:
- first_name: Oxana
  full_name: Eremin, Oxana
  last_name: Eremin
- first_name: Antje
  full_name: Langer, Antje
  last_name: Langer
- first_name: Annalisa
  full_name: Mattei, Annalisa
  last_name: Mattei
- first_name: Claudia
  full_name: Mahs, Claudia
  last_name: Mahs
intvolume: '        16'
language:
- iso: eng
series_title: 'GENDER. Zeitschrift für Geschlecht, Kultur und Gesellschaft '
status: public
title: Reproduktionspolitiken und Selbstbestimmung
type: book_editor
user_id: '27914'
volume: 16
year: '2024'
...
---
_id: '38031'
abstract:
- lang: eng
  text: "We consider the data-driven approximation of the Koopman operator for\r\nstochastic
    differential equations on reproducing kernel Hilbert spaces (RKHS).\r\nOur focus
    is on the estimation error if the data are collected from long-term\r\nergodic
    simulations. We derive both an exact expression for the variance of the\r\nkernel
    cross-covariance operator, measured in the Hilbert-Schmidt norm, and\r\nprobabilistic
    bounds for the finite-data estimation error. Moreover, we derive\r\na bound on
    the prediction error of observables in the RKHS using a finite\r\nMercer series
    expansion. Further, assuming Koopman-invariance of the RKHS, we\r\nprovide bounds
    on the full approximation error. Numerical experiments using the\r\nOrnstein-Uhlenbeck
    process illustrate our results."
article_number: '101657'
author:
- first_name: Friedrich
  full_name: Philipp, Friedrich
  last_name: Philipp
- first_name: Manuel
  full_name: Schaller, Manuel
  last_name: Schaller
- first_name: Karl
  full_name: Worthmann, Karl
  last_name: Worthmann
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
- first_name: Feliks
  full_name: Nüske, Feliks
  last_name: Nüske
citation:
  ama: Philipp F, Schaller M, Worthmann K, Peitz S, Nüske F. Error bounds for kernel-based
    approximations of the Koopman operator. <i>Applied and Computational Harmonic
    Analysis </i>. 2024;71. doi:<a href="https://doi.org/10.1016/j.acha.2024.101657">10.1016/j.acha.2024.101657</a>
  apa: Philipp, F., Schaller, M., Worthmann, K., Peitz, S., &#38; Nüske, F. (2024).
    Error bounds for kernel-based approximations of the Koopman operator. <i>Applied
    and Computational Harmonic Analysis </i>, <i>71</i>, Article 101657. <a href="https://doi.org/10.1016/j.acha.2024.101657">https://doi.org/10.1016/j.acha.2024.101657</a>
  bibtex: '@article{Philipp_Schaller_Worthmann_Peitz_Nüske_2024, title={Error bounds
    for kernel-based approximations of the Koopman operator}, volume={71}, DOI={<a
    href="https://doi.org/10.1016/j.acha.2024.101657">10.1016/j.acha.2024.101657</a>},
    number={101657}, journal={Applied and Computational Harmonic Analysis }, publisher={Springer
    }, author={Philipp, Friedrich and Schaller, Manuel and Worthmann, Karl and Peitz,
    Sebastian and Nüske, Feliks}, year={2024} }'
  chicago: Philipp, Friedrich, Manuel Schaller, Karl Worthmann, Sebastian Peitz, and
    Feliks Nüske. “Error Bounds for Kernel-Based Approximations of the Koopman Operator.”
    <i>Applied and Computational Harmonic Analysis </i> 71 (2024). <a href="https://doi.org/10.1016/j.acha.2024.101657">https://doi.org/10.1016/j.acha.2024.101657</a>.
  ieee: 'F. Philipp, M. Schaller, K. Worthmann, S. Peitz, and F. Nüske, “Error bounds
    for kernel-based approximations of the Koopman operator,” <i>Applied and Computational
    Harmonic Analysis </i>, vol. 71, Art. no. 101657, 2024, doi: <a href="https://doi.org/10.1016/j.acha.2024.101657">10.1016/j.acha.2024.101657</a>.'
  mla: Philipp, Friedrich, et al. “Error Bounds for Kernel-Based Approximations of
    the Koopman Operator.” <i>Applied and Computational Harmonic Analysis </i>, vol.
    71, 101657, Springer , 2024, doi:<a href="https://doi.org/10.1016/j.acha.2024.101657">10.1016/j.acha.2024.101657</a>.
  short: F. Philipp, M. Schaller, K. Worthmann, S. Peitz, F. Nüske, Applied and Computational
    Harmonic Analysis  71 (2024).
date_created: 2023-01-23T07:03:39Z
date_updated: 2024-04-11T12:41:13Z
department:
- _id: '655'
doi: 10.1016/j.acha.2024.101657
external_id:
  arxiv:
  - '2301.08637'
intvolume: '        71'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/pdf/2301.08637
oa: '1'
publication: 'Applied and Computational Harmonic Analysis '
publication_status: published
publisher: 'Springer '
status: public
title: Error bounds for kernel-based approximations of the Koopman operator
type: journal_article
user_id: '47427'
volume: 71
year: '2024'
...
---
_id: '43135'
author:
- first_name: ' Umesh '
  full_name: 'Sharma ,  Umesh '
  last_name: 'Sharma '
- first_name: ' Tim '
  full_name: 'Loreman ,  Tim '
  last_name: 'Loreman '
- first_name: ' Fiona '
  full_name: 'May ,  Fiona '
  last_name: 'May '
- first_name: ' Alessandra '
  full_name: 'Romano ,  Alessandra '
  last_name: 'Romano '
- first_name: Caroline Sahli
  full_name: Lozano , Caroline Sahli
  last_name: 'Lozano '
- first_name: ' Elias '
  full_name: 'Avramidis ,  Elias '
  last_name: 'Avramidis '
- first_name: ' Stuart '
  full_name: 'Woodcock ,  Stuart '
  last_name: 'Woodcock '
- first_name: ' Pearl '
  full_name: 'Subban ,  Pearl '
  last_name: 'Subban '
- first_name: Harry
  full_name: Kullmann, Harry
  id: '77972'
  last_name: Kullmann
citation:
  ama: Sharma   Umesh , Loreman   Tim , May   Fiona , et al. Measuring collective
    efficacy for inclusion in a global context. <i>European Journal of Special Needs
    Education</i>. 2024;39(2):167–184. doi:<a href="https://doi.org/10.1080/08856257.2023.2195075">10.1080/08856257.2023.2195075</a>
  apa: Sharma ,  Umesh , Loreman ,  Tim , May ,  Fiona , Romano ,  Alessandra , Lozano
    , C. S., Avramidis ,  Elias , Woodcock ,  Stuart , Subban ,  Pearl , &#38; Kullmann,
    H. (2024). Measuring collective efficacy for inclusion in a global context. <i>European
    Journal of Special Needs Education</i>, <i>39</i>(2), 167–184. <a href="https://doi.org/10.1080/08856257.2023.2195075">https://doi.org/10.1080/08856257.2023.2195075</a>
  bibtex: '@article{Sharma _Loreman _May _Romano _Lozano _Avramidis _Woodcock _Subban
    _Kullmann_2024, title={Measuring collective efficacy for inclusion in a global
    context}, volume={39}, DOI={<a href="https://doi.org/10.1080/08856257.2023.2195075">10.1080/08856257.2023.2195075</a>},
    number={2}, journal={European Journal of Special Needs Education}, author={Sharma
    ,  Umesh  and Loreman ,  Tim  and May ,  Fiona  and Romano ,  Alessandra  and
    Lozano , Caroline Sahli and Avramidis ,  Elias  and Woodcock ,  Stuart  and Subban
    ,  Pearl  and Kullmann, Harry}, year={2024}, pages={167–184} }'
  chicago: 'Sharma ,  Umesh ,  Tim  Loreman ,  Fiona  May ,  Alessandra  Romano ,
    Caroline Sahli Lozano ,  Elias  Avramidis ,  Stuart  Woodcock ,  Pearl  Subban
    , and Harry Kullmann. “Measuring Collective Efficacy for Inclusion in a Global
    Context.” <i>European Journal of Special Needs Education</i> 39, no. 2 (2024):
    167–184. <a href="https://doi.org/10.1080/08856257.2023.2195075">https://doi.org/10.1080/08856257.2023.2195075</a>.'
  ieee: 'Umesh  Sharma  <i>et al.</i>, “Measuring collective efficacy for inclusion
    in a global context,” <i>European Journal of Special Needs Education</i>, vol.
    39, no. 2, pp. 167–184, 2024, doi: <a href="https://doi.org/10.1080/08856257.2023.2195075">10.1080/08856257.2023.2195075</a>.'
  mla: Sharma ,  Umesh , et al. “Measuring Collective Efficacy for Inclusion in a
    Global Context.” <i>European Journal of Special Needs Education</i>, vol. 39,
    no. 2, 2024, pp. 167–184, doi:<a href="https://doi.org/10.1080/08856257.2023.2195075">10.1080/08856257.2023.2195075</a>.
  short: Umesh  Sharma ,  Tim  Loreman ,  Fiona  May ,  Alessandra  Romano , C.S.
    Lozano ,  Elias  Avramidis ,  Stuart  Woodcock ,  Pearl  Subban , H. Kullmann,
    European Journal of Special Needs Education 39 (2024) 167–184.
date_created: 2023-03-28T13:01:09Z
date_updated: 2024-04-11T13:17:29Z
department:
- _id: '556'
doi: 10.1080/08856257.2023.2195075
intvolume: '        39'
issue: '2'
language:
- iso: eng
page: 167–184
publication: European Journal of Special Needs Education
status: public
title: Measuring collective efficacy for inclusion in a global context
type: journal_article
user_id: '65969'
volume: 39
year: '2024'
...
---
_id: '53437'
author:
- first_name: Touhid Hossain
  full_name: Pritom, Touhid Hossain
  last_name: Pritom
- first_name: Simon
  full_name: Welzel, Simon
  last_name: Welzel
- first_name: Florian
  full_name: Klingler, Florian
  last_name: Klingler
citation:
  ama: 'Pritom TH, Welzel S, Klingler F. Cuckoos United: Extending Cuckoo Filters
    for Message Dissemination in Vehicular Networks. In: <i>11th IEEE International
    Conference on Computing, Networking and Communications (ICNC 2024)</i>. ; 2024.'
  apa: 'Pritom, T. H., Welzel, S., &#38; Klingler, F. (2024). Cuckoos United: Extending
    Cuckoo Filters for Message Dissemination in Vehicular Networks. <i>11th IEEE International
    Conference on Computing, Networking and Communications (ICNC 2024)</i>.'
  bibtex: '@inproceedings{Pritom_Welzel_Klingler_2024, place={Big Island, HI}, title={Cuckoos
    United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks},
    booktitle={11th IEEE International Conference on Computing, Networking and Communications
    (ICNC 2024)}, author={Pritom, Touhid Hossain and Welzel, Simon and Klingler, Florian},
    year={2024} }'
  chicago: 'Pritom, Touhid Hossain, Simon Welzel, and Florian Klingler. “Cuckoos United:
    Extending Cuckoo Filters for Message Dissemination in Vehicular Networks.” In
    <i>11th IEEE International Conference on Computing, Networking and Communications
    (ICNC 2024)</i>. Big Island, HI, 2024.'
  ieee: 'T. H. Pritom, S. Welzel, and F. Klingler, “Cuckoos United: Extending Cuckoo
    Filters for Message Dissemination in Vehicular Networks,” 2024.'
  mla: 'Pritom, Touhid Hossain, et al. “Cuckoos United: Extending Cuckoo Filters for
    Message Dissemination in Vehicular Networks.” <i>11th IEEE International Conference
    on Computing, Networking and Communications (ICNC 2024)</i>, 2024.'
  short: 'T.H. Pritom, S. Welzel, F. Klingler, in: 11th IEEE International Conference
    on Computing, Networking and Communications (ICNC 2024), Big Island, HI, 2024.'
date_created: 2024-04-11T18:26:09Z
date_updated: 2024-04-11T18:29:47Z
language:
- iso: eng
place: Big Island, HI
publication: 11th IEEE International Conference on Computing, Networking and Communications
  (ICNC 2024)
status: public
title: 'Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular
  Networks'
type: conference
user_id: '49153'
year: '2024'
...