---
_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'
...
---
_id: '53417'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>Remote-controlled
    telescopes in education provide the opportunity to obtain high quality astronomy
    images for a broad variety of users. The Stellarium Gornergrat is such a telescope.
    In addition to pure observation, it offers a user-friendly interface and teaching
    modules so that astronomical and astrophysical projects can be integrated into
    everyday school life without any special prior knowledge and without requiring
    a lot of time. This contribution presents the Stellarium project and a provides
    an overview of several teaching activities.</jats:p>"
article_number: '012011'
author:
- first_name: Stéphane
  full_name: Gschwind, Stéphane
  last_name: Gschwind
- first_name: Sascha
  full_name: Hohmann, Sascha
  id: '94328'
  last_name: Hohmann
  orcid: 0000-0001-6145-3466
- first_name: Andreas
  full_name: Müller, Andreas
  last_name: Müller
- first_name: Jeffrey
  full_name: Nordine, Jeffrey
  last_name: Nordine
- first_name: Timm-Emanuel
  full_name: Riesen, Timm-Emanuel
  last_name: Riesen
citation:
  ama: 'Gschwind S, Hohmann S, Müller A, Nordine J, Riesen T-E. The Stellarium Gornergrat:
    Astrophysics with your own Data. <i>Journal of Physics: Conference Series</i>.
    2024;2727(1). doi:<a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>'
  apa: 'Gschwind, S., Hohmann, S., Müller, A., Nordine, J., &#38; Riesen, T.-E. (2024).
    The Stellarium Gornergrat: Astrophysics with your own Data. <i>Journal of Physics:
    Conference Series</i>, <i>2727</i>(1), Article 012011. <a href="https://doi.org/10.1088/1742-6596/2727/1/012011">https://doi.org/10.1088/1742-6596/2727/1/012011</a>'
  bibtex: '@article{Gschwind_Hohmann_Müller_Nordine_Riesen_2024, title={The Stellarium
    Gornergrat: Astrophysics with your own Data}, volume={2727}, DOI={<a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>},
    number={1012011}, journal={Journal of Physics: Conference Series}, publisher={IOP
    Publishing}, author={Gschwind, Stéphane and Hohmann, Sascha and Müller, Andreas
    and Nordine, Jeffrey and Riesen, Timm-Emanuel}, year={2024} }'
  chicago: 'Gschwind, Stéphane, Sascha Hohmann, Andreas Müller, Jeffrey Nordine, and
    Timm-Emanuel Riesen. “The Stellarium Gornergrat: Astrophysics with Your Own Data.”
    <i>Journal of Physics: Conference Series</i> 2727, no. 1 (2024). <a href="https://doi.org/10.1088/1742-6596/2727/1/012011">https://doi.org/10.1088/1742-6596/2727/1/012011</a>.'
  ieee: 'S. Gschwind, S. Hohmann, A. Müller, J. Nordine, and T.-E. Riesen, “The Stellarium
    Gornergrat: Astrophysics with your own Data,” <i>Journal of Physics: Conference
    Series</i>, vol. 2727, no. 1, Art. no. 012011, 2024, doi: <a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>.'
  mla: 'Gschwind, Stéphane, et al. “The Stellarium Gornergrat: Astrophysics with Your
    Own Data.” <i>Journal of Physics: Conference Series</i>, vol. 2727, no. 1, 012011,
    IOP Publishing, 2024, doi:<a href="https://doi.org/10.1088/1742-6596/2727/1/012011">10.1088/1742-6596/2727/1/012011</a>.'
  short: 'S. Gschwind, S. Hohmann, A. Müller, J. Nordine, T.-E. Riesen, Journal of
    Physics: Conference Series 2727 (2024).'
conference:
  end_date: 2021-12-16
  location: Hanoi
  name: 3rd World Conference on Physics Education
  start_date: 2021-12-13
date_created: 2024-04-11T12:37:49Z
date_updated: 2024-04-12T11:34:19Z
doi: 10.1088/1742-6596/2727/1/012011
intvolume: '      2727'
issue: '1'
keyword:
- Computer Science Applications
- History
- Education
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://iopscience.iop.org/article/10.1088/1742-6596/2727/1/012011/pdf
oa: '1'
publication: 'Journal of Physics: Conference Series'
publication_identifier:
  issn:
  - 1742-6588
  - 1742-6596
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: 'The Stellarium Gornergrat: Astrophysics with your own Data'
type: journal_article
user_id: '94328'
volume: 2727
year: '2024'
...
---
_id: '53473'
author:
- first_name: Stefan
  full_name: Elit, Stefan
  id: '105'
  last_name: Elit
  orcid: 0000-0002-4719-1073
citation:
  ama: 'Elit S. ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea
    Streisands „Hufeland, Ecke Bötzow“. In: Elit S, Eke NO, eds. <i>‚Topographisches‘
    Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>. Vol 41. Paderborner
    Gastdozentur für Schriftstellerinnen und Schriftsteller. Aisthesis; 2024:137-154.'
  apa: 'Elit, S. (2024). ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“
    und Lea Streisands „Hufeland, Ecke Bötzow“. In S. Elit &#38; N. O. Eke (Eds.),
    <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023:
    Vol. 41.</i> (pp. 137–154). Aisthesis.'
  bibtex: '@inbook{Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur
    für Schriftstellerinnen und Schriftsteller}, title={‚Schelmische‘ Post-DDR-Romane:
    Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“}, volume={41.},
    booktitle={‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester
    2022/2023}, publisher={Aisthesis}, author={Elit, Stefan}, editor={Elit, Stefan
    and Eke, Norbert Otto}, year={2024}, pages={137–154}, collection={Paderborner
    Gastdozentur für Schriftstellerinnen und Schriftsteller} }'
  chicago: 'Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“
    und Lea Streisands „Hufeland, Ecke Bötzow“.” In <i>‚Topographisches‘ Schreiben:
    Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit
    and Norbert Otto Eke, 41.:137–54. Paderborner Gastdozentur für Schriftstellerinnen
    und Schriftsteller. Bielefeld: Aisthesis, 2024.'
  ieee: 'S. Elit, “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und
    Lea Streisands „Hufeland, Ecke Bötzow“,” in <i>‚Topographisches‘ Schreiben: Lea
    Streisand, Paderborn, Wintersemester 2022/2023</i>, vol. 41., S. Elit and N. O.
    Eke, Eds. Bielefeld: Aisthesis, 2024, pp. 137–154.'
  mla: 'Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“
    und Lea Streisands „Hufeland, Ecke Bötzow“.” <i>‚Topographisches‘ Schreiben: Lea
    Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit and
    Norbert Otto Eke, vol. 41., Aisthesis, 2024, pp. 137–54.'
  short: 'S. Elit, in: S. Elit, N.O. Eke (Eds.), ‚Topographisches‘ Schreiben: Lea
    Streisand, Paderborn, Wintersemester 2022/2023, Aisthesis, Bielefeld, 2024, pp.
    137–154.'
date_created: 2024-04-12T16:05:19Z
date_updated: 2024-04-12T16:06:59Z
department:
- _id: '465'
- _id: '5'
editor:
- first_name: Stefan
  full_name: Elit, Stefan
  last_name: Elit
- first_name: Norbert Otto
  full_name: Eke, Norbert Otto
  last_name: Eke
language:
- iso: ger
page: 137-154
place: Bielefeld
publication: '‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester
  2022/2023'
publication_identifier:
  eisbn:
  - 978-3-8498-1958-3
  isbn:
  - 978-3-8498-1957-6
publication_status: published
publisher: Aisthesis
series_title: Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller
status: public
title: '‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands
  „Hufeland, Ecke Bötzow“'
type: book_chapter
user_id: '105'
volume: '41.'
year: '2024'
...
---
_id: '52723'
abstract:
- lang: eng
  text: Miller's rule is an empirical relation between the nonlinear and linear optical
    coefficients that applies to a large class of materials but has only been rigorously
    derived for the classical Lorentz model with a weak anharmonic perturbation. In
    this work, we extend the proof and present a detailed derivation of Miller's rule
    for an equivalent quantum-mechanical anharmonic oscillator. For this purpose,
    the classical concept of velocity-dependent damping inherent to the Lorentz model
    is replaced by an adiabatic switch-on of the external electric field, which allows
    a unified treatment of the classical and quantum-mechanical systems using identical
    potentials and fields. Although the dynamics of the resulting charge oscillations,
    and hence the induced polarizations, deviate due to the finite zero-point motion
    in the quantum-mechanical framework, we find that Miller's rule is nevertheless
    identical in both cases up to terms of first order in the anharmonicity. With
    a view to practical applications, especially in the context of ab initio calculations
    for the optical response where adiabatically switched-on fields are widely assumed,
    we demonstrate that a correct treatment of finite broadening parameters is essential
    to avoid spurious errors that may falsely suggest a violation of Miller's rule,
    and we illustrate this point by means of a numerical example.
article_number: '095001'
article_type: original
author:
- first_name: Maximilian Tim
  full_name: Meyer, Maximilian Tim
  id: '77895'
  last_name: Meyer
  orcid: 0009-0003-4899-0920
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  ama: 'Meyer MT, Schindlmayr A. Derivation of Miller’s rule for the nonlinear optical
    susceptibility of a quantum anharmonic oscillator. <i>Journal of Physics B: Atomic,
    Molecular and Optical Physics</i>. 2024;57(9). doi:<a href="https://doi.org/10.1088/1361-6455/ad369c">10.1088/1361-6455/ad369c</a>'
  apa: 'Meyer, M. T., &#38; Schindlmayr, A. (2024). Derivation of Miller’s rule for
    the nonlinear optical susceptibility of a quantum anharmonic oscillator. <i>Journal
    of Physics B: Atomic, Molecular and Optical Physics</i>, <i>57</i>(9), Article
    095001. <a href="https://doi.org/10.1088/1361-6455/ad369c">https://doi.org/10.1088/1361-6455/ad369c</a>'
  bibtex: '@article{Meyer_Schindlmayr_2024, title={Derivation of Miller’s rule for
    the nonlinear optical susceptibility of a quantum anharmonic oscillator}, volume={57},
    DOI={<a href="https://doi.org/10.1088/1361-6455/ad369c">10.1088/1361-6455/ad369c</a>},
    number={9095001}, journal={Journal of Physics B: Atomic, Molecular and Optical
    Physics}, publisher={IOP Publishing}, author={Meyer, Maximilian Tim and Schindlmayr,
    Arno}, year={2024} }'
  chicago: 'Meyer, Maximilian Tim, and Arno Schindlmayr. “Derivation of Miller’s Rule
    for the Nonlinear Optical Susceptibility of a Quantum Anharmonic Oscillator.”
    <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i> 57, no. 9 (2024).
    <a href="https://doi.org/10.1088/1361-6455/ad369c">https://doi.org/10.1088/1361-6455/ad369c</a>.'
  ieee: 'M. T. Meyer and A. Schindlmayr, “Derivation of Miller’s rule for the nonlinear
    optical susceptibility of a quantum anharmonic oscillator,” <i>Journal of Physics
    B: Atomic, Molecular and Optical Physics</i>, vol. 57, no. 9, Art. no. 095001,
    2024, doi: <a href="https://doi.org/10.1088/1361-6455/ad369c">10.1088/1361-6455/ad369c</a>.'
  mla: 'Meyer, Maximilian Tim, and Arno Schindlmayr. “Derivation of Miller’s Rule
    for the Nonlinear Optical Susceptibility of a Quantum Anharmonic Oscillator.”
    <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i>, vol. 57, no.
    9, 095001, IOP Publishing, 2024, doi:<a href="https://doi.org/10.1088/1361-6455/ad369c">10.1088/1361-6455/ad369c</a>.'
  short: 'M.T. Meyer, A. Schindlmayr, Journal of Physics B: Atomic, Molecular and
    Optical Physics 57 (2024).'
date_created: 2024-03-22T08:44:39Z
date_updated: 2024-04-13T11:20:56Z
ddc:
- '530'
department:
- _id: '296'
- _id: '230'
- _id: '15'
- _id: '170'
- _id: '35'
doi: 10.1088/1361-6455/ad369c
external_id:
  isi:
  - '001196678300001'
file:
- access_level: open_access
  content_type: application/pdf
  creator: schindlm
  date_created: 2024-04-04T09:24:22Z
  date_updated: 2024-04-04T09:24:22Z
  description: Creative Commons Attribution 4.0 International Public License (CC BY
    4.0)
  file_id: '53204'
  file_name: Meyer_2024_J._Phys._B _At._Mol._Opt._Phys._57_095001.pdf
  file_size: 358155
  relation: main_file
  title: Derivation of Miller's rule for the nonlinear optical susceptibility of a
    quantum anharmonic oscillator
file_date_updated: 2024-04-04T09:24:22Z
has_accepted_license: '1'
intvolume: '        57'
isi: '1'
issue: '9'
language:
- iso: eng
oa: '1'
publication: 'Journal of Physics B: Atomic, Molecular and Optical Physics'
publication_identifier:
  eissn:
  - 1361-6455
  issn:
  - 0953-4075
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: Derivation of Miller's rule for the nonlinear optical susceptibility of a quantum
  anharmonic oscillator
type: journal_article
user_id: '458'
volume: 57
year: '2024'
...
---
_id: '53474'
abstract:
- lang: eng
  text: We present a novel approach to characterize and quantify microheterogeneity
    and microphase separation in computer simulations of complex liquid mixtures.
    Our post-processing method is based on local density fluctuations of the different
    constituents in sampling spheres of varying size. It can be easily applied to
    both molecular dynamics (MD) and Monte Carlo (MC) simulations, including periodic
    boundary conditions. Multidimensional correlation of the density distributions
    yields a clear picture of the domain formation due to the subtle balance of different
    interactions. We apply our approach to the example of force field molecular dynamics
    simulations of imidazolium-based ionic liquids with different side chain lengths
    at different temperatures, namely 1-ethyl-3-methylimidazolium chloride, 1-hexyl-3-methylimidazolium
    chloride, and 1-decyl-3-methylimidazolium chloride, which are known to form distinct
    liquid domains. We put the results into the context of existing microheterogeneity
    analyses and demonstrate the advantages and sensitivity of our novel method. Furthermore,
    we show how to estimate the configuration entropy from our analysis, and we investigate
    voids in the system. The analysis has been implemented into our program package
    TRAVIS and is thus available as free software.
article_number: '322'
author:
- first_name: Michael
  full_name: Lass, Michael
  id: '24135'
  last_name: Lass
  orcid: 0000-0002-5708-7632
- first_name: Tobias
  full_name: Kenter, Tobias
  id: '3145'
  last_name: Kenter
- first_name: Christian
  full_name: Plessl, Christian
  id: '16153'
  last_name: Plessl
  orcid: 0000-0001-5728-9982
- first_name: Martin
  full_name: Brehm, Martin
  id: '100167'
  last_name: Brehm
citation:
  ama: Lass M, Kenter T, Plessl C, Brehm M. Characterizing Microheterogeneity in Liquid
    Mixtures via Local Density Fluctuations. <i>Entropy</i>. 2024;26(4). doi:<a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>
  apa: Lass, M., Kenter, T., Plessl, C., &#38; Brehm, M. (2024). Characterizing Microheterogeneity
    in Liquid Mixtures via Local Density Fluctuations. <i>Entropy</i>, <i>26</i>(4),
    Article 322. <a href="https://doi.org/10.3390/e26040322">https://doi.org/10.3390/e26040322</a>
  bibtex: '@article{Lass_Kenter_Plessl_Brehm_2024, title={Characterizing Microheterogeneity
    in Liquid Mixtures via Local Density Fluctuations}, volume={26}, DOI={<a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>},
    number={4322}, journal={Entropy}, publisher={MDPI AG}, author={Lass, Michael and
    Kenter, Tobias and Plessl, Christian and Brehm, Martin}, year={2024} }'
  chicago: Lass, Michael, Tobias Kenter, Christian Plessl, and Martin Brehm. “Characterizing
    Microheterogeneity in Liquid Mixtures via Local Density Fluctuations.” <i>Entropy</i>
    26, no. 4 (2024). <a href="https://doi.org/10.3390/e26040322">https://doi.org/10.3390/e26040322</a>.
  ieee: 'M. Lass, T. Kenter, C. Plessl, and M. Brehm, “Characterizing Microheterogeneity
    in Liquid Mixtures via Local Density Fluctuations,” <i>Entropy</i>, vol. 26, no.
    4, Art. no. 322, 2024, doi: <a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>.'
  mla: Lass, Michael, et al. “Characterizing Microheterogeneity in Liquid Mixtures
    via Local Density Fluctuations.” <i>Entropy</i>, vol. 26, no. 4, 322, MDPI AG,
    2024, doi:<a href="https://doi.org/10.3390/e26040322">10.3390/e26040322</a>.
  short: M. Lass, T. Kenter, C. Plessl, M. Brehm, Entropy 26 (2024).
date_created: 2024-04-12T18:31:39Z
date_updated: 2024-04-12T18:34:32Z
department:
- _id: '27'
- _id: '518'
- _id: '803'
doi: 10.3390/e26040322
intvolume: '        26'
issue: '4'
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Entropy
publication_identifier:
  issn:
  - 1099-4300
publication_status: published
publisher: MDPI AG
status: public
title: Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations
type: journal_article
user_id: '24135'
volume: 26
year: '2024'
...
---
_id: '53472'
citation:
  ama: 'Eke N, Elit S, eds. <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn
    Wintersemester 2022/23</i>. Vol 41. Aisthesis; 2024.'
  apa: 'Eke, N., &#38; Elit, S. (Eds.). (2024). <i>’Topographisches‘ Schreiben: Lea
    Streisand. Paderborn Wintersemester 2022/23: Vol. 41.</i> Aisthesis.'
  bibtex: '@book{Eke_Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur
    für Schriftstellerinnen und Schriftsteller}, title={’Topographisches‘ Schreiben:
    Lea Streisand. Paderborn Wintersemester 2022/23}, volume={41.}, publisher={Aisthesis},
    year={2024}, collection={Paderborner Gastdozentur für Schriftstellerinnen und
    Schriftsteller} }'
  chicago: 'Eke, Norbert, and Stefan Elit, eds. <i>’Topographisches‘ Schreiben: Lea
    Streisand. Paderborn Wintersemester 2022/23</i>. Vol. 41. Paderborner Gastdozentur
    für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2024.'
  ieee: 'N. Eke and S. Elit, Eds., <i>’Topographisches‘ Schreiben: Lea Streisand.
    Paderborn Wintersemester 2022/23</i>, vol. 41. Bielefeld: Aisthesis, 2024.'
  mla: 'Eke, Norbert, and Stefan Elit, editors. <i>’Topographisches‘ Schreiben: Lea
    Streisand. Paderborn Wintersemester 2022/23</i>. Aisthesis, 2024.'
  short: 'N. Eke, S. Elit, eds., ’Topographisches‘ Schreiben: Lea Streisand. Paderborn
    Wintersemester 2022/23, Aisthesis, Bielefeld, 2024.'
date_created: 2024-04-12T15:56:15Z
date_updated: 2024-04-12T16:19:16Z
department:
- _id: '465'
- _id: '5'
editor:
- first_name: Norbert
  full_name: Eke, Norbert
  id: '104'
  last_name: Eke
- first_name: Stefan
  full_name: Elit, Stefan
  id: '105'
  last_name: Elit
  orcid: 0000-0002-4719-1073
language:
- iso: ger
page: '178'
place: Bielefeld
publication_identifier:
  eisbn:
  - 978-3-8498-1958-3
  isbn:
  - 978-3-8498-1957-6
publication_status: published
publisher: Aisthesis
series_title: Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller
status: public
title: '''Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23'
type: book_editor
user_id: '105'
volume: '41.'
year: '2024'
...
---
_id: '53396'
author:
- first_name: Norbert
  full_name: Eke, Norbert
  id: '104'
  last_name: Eke
citation:
  ama: 'Eke N. ‚Topographisches‘ Schreiben. Lea Streisand, Paderborn Wintersemester
    2022/23: Die 41. Gastdozentur für Schriftstellerinnen und Schriftsteller. Zur
    Einführung. In: Eke NO, Stefan E, eds. <i>‚Topographisches‘ Schreiben: Lea Streisand
    – Paderborn Wintersemester 2022/23</i>. Aisthesis; 2024:7-10 (mit Stefan Elit).'
  apa: 'Eke, N. (2024). ‚Topographisches‘ Schreiben. Lea Streisand, Paderborn Wintersemester
    2022/23: Die 41. Gastdozentur für Schriftstellerinnen und Schriftsteller. Zur
    Einführung. In N. O. Eke &#38; E. Stefan (Eds.), <i>‚Topographisches‘ Schreiben:
    Lea Streisand – Paderborn Wintersemester 2022/23</i> (pp. 7-10 (mit Stefan Elit)).
    Aisthesis.'
  bibtex: '@inbook{Eke_2024, place={Bielefeld}, title={‚Topographisches‘ Schreiben.
    Lea Streisand, Paderborn Wintersemester 2022/23: Die 41. Gastdozentur für Schriftstellerinnen
    und Schriftsteller. Zur Einführung.}, booktitle={‚Topographisches‘ Schreiben:
    Lea Streisand – Paderborn Wintersemester 2022/23}, publisher={Aisthesis}, author={Eke,
    Norbert}, editor={Eke, Norbert Otto and Stefan, Elit}, year={2024}, pages={7-10
    (mit Stefan Elit)} }'
  chicago: 'Eke, Norbert. “‚Topographisches‘ Schreiben. Lea Streisand, Paderborn Wintersemester
    2022/23: Die 41. Gastdozentur für Schriftstellerinnen und Schriftsteller. Zur
    Einführung.” In <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester
    2022/23</i>, edited by Norbert Otto Eke and Elit Stefan, 7-10 (mit Stefan Elit).
    Bielefeld: Aisthesis, 2024.'
  ieee: 'N. Eke, “‚Topographisches‘ Schreiben. Lea Streisand, Paderborn Wintersemester
    2022/23: Die 41. Gastdozentur für Schriftstellerinnen und Schriftsteller. Zur
    Einführung.,” in <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester
    2022/23</i>, N. O. Eke and E. Stefan, Eds. Bielefeld: Aisthesis, 2024, pp. 7-10
    (mit Stefan Elit).'
  mla: 'Eke, Norbert. “‚Topographisches‘ Schreiben. Lea Streisand, Paderborn Wintersemester
    2022/23: Die 41. Gastdozentur für Schriftstellerinnen und Schriftsteller. Zur
    Einführung.” <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester
    2022/23</i>, edited by Norbert Otto Eke and Elit Stefan, Aisthesis, 2024, pp.
    7-10 (mit Stefan Elit).'
  short: 'N. Eke, in: N.O. Eke, E. Stefan (Eds.), ‚Topographisches‘ Schreiben: Lea
    Streisand – Paderborn Wintersemester 2022/23, Aisthesis, Bielefeld, 2024, pp.
    7-10 (mit Stefan Elit).'
date_created: 2024-04-10T10:03:47Z
date_updated: 2024-04-15T05:49:13Z
editor:
- first_name: Norbert Otto
  full_name: Eke, Norbert Otto
  last_name: Eke
- first_name: Elit
  full_name: Stefan, Elit
  last_name: Stefan
language:
- iso: ger
page: 7-10 (mit Stefan Elit)
place: Bielefeld
publication: '‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester
  2022/23'
publication_identifier:
  isbn:
  - 978-3-8498-1957-6
publication_status: published
publisher: Aisthesis
status: public
title: '‚Topographisches‘ Schreiben. Lea Streisand, Paderborn Wintersemester 2022/23:
  Die 41. Gastdozentur für Schriftstellerinnen und Schriftsteller. Zur Einführung.'
type: book_chapter
user_id: '104'
year: '2024'
...
---
_id: '53399'
author:
- first_name: Norbert
  full_name: Eke, Norbert
  id: '104'
  last_name: Eke
citation:
  ama: 'Eke N. Sich selbst erzählen. Lea Streisands autofiktionales Erzählen. . In:
    Eke NO, Elit S, eds. <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn
    Wintersemester 2022/23</i>. Aisthesis; 2024:105-119.'
  apa: 'Eke, N. (2024). Sich selbst erzählen. Lea Streisands autofiktionales Erzählen.
    . In N. O. Eke &#38; S. Elit (Eds.), <i>‚Topographisches‘ Schreiben: Lea Streisand
    – Paderborn Wintersemester 2022/23</i> (pp. 105–119). Aisthesis.'
  bibtex: '@inbook{Eke_2024, place={Bielefeld}, title={Sich selbst erzählen. Lea Streisands
    autofiktionales Erzählen. }, booktitle={‚Topographisches‘ Schreiben: Lea Streisand
    – Paderborn Wintersemester 2022/23}, publisher={Aisthesis}, author={Eke, Norbert},
    editor={Eke, Norbert Otto and Elit, Stefan}, year={2024}, pages={105–119} }'
  chicago: 'Eke, Norbert. “Sich selbst erzählen. Lea Streisands autofiktionales Erzählen.
    .” In <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester
    2022/23</i>, edited by Norbert Otto Eke and Stefan Elit, 105–19. Bielefeld: Aisthesis,
    2024.'
  ieee: 'N. Eke, “Sich selbst erzählen. Lea Streisands autofiktionales Erzählen. ,”
    in <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester 2022/23</i>,
    N. O. Eke and S. Elit, Eds. Bielefeld: Aisthesis, 2024, pp. 105–119.'
  mla: 'Eke, Norbert. “Sich selbst erzählen. Lea Streisands autofiktionales Erzählen.
    .” <i>‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester 2022/23</i>,
    edited by Norbert Otto Eke and Stefan Elit, Aisthesis, 2024, pp. 105–19.'
  short: 'N. Eke, in: N.O. Eke, S. Elit (Eds.), ‚Topographisches‘ Schreiben: Lea Streisand
    – Paderborn Wintersemester 2022/23, Aisthesis, Bielefeld, 2024, pp. 105–119.'
date_created: 2024-04-10T10:05:54Z
date_updated: 2024-04-15T05:43:09Z
editor:
- first_name: Norbert Otto
  full_name: Eke, Norbert Otto
  last_name: Eke
- first_name: Stefan
  full_name: Elit, Stefan
  last_name: Elit
language:
- iso: ger
page: 105-119
place: Bielefeld
publication: '‚Topographisches‘ Schreiben: Lea Streisand – Paderborn Wintersemester
  2022/23'
publication_identifier:
  isbn:
  - 978-3-8498-1957-6
publication_status: published
publisher: Aisthesis
status: public
title: 'Sich selbst erzählen. Lea Streisands autofiktionales Erzählen. '
type: book_chapter
user_id: '104'
year: '2024'
...
---
_id: '53506'
alternative_title:
- Katalog zur Ausstellung "Lines in the Sand", Bolton Art Gallery, Library & Museum,
  17.02. - 31.03.2024.
author:
- first_name: Svenja
  full_name: Langer, Svenja
  id: '49787'
  last_name: Langer
citation:
  ama: Langer S. <i>Lines in the Sand</i>. Bolton Print; 2024.
  apa: Langer, S. (2024). <i>Lines in the Sand</i>. Bolton Print.
  bibtex: '@book{Langer_2024, place={Bolton}, title={Lines in the Sand}, publisher={Bolton
    Print}, author={Langer, Svenja}, year={2024} }'
  chicago: 'Langer, Svenja. <i>Lines in the Sand</i>. Bolton: Bolton Print, 2024.'
  ieee: 'S. Langer, <i>Lines in the Sand</i>. Bolton: Bolton Print, 2024.'
  mla: Langer, Svenja. <i>Lines in the Sand</i>. Bolton Print, 2024.
  short: S. Langer, Lines in the Sand, Bolton Print, Bolton, 2024.
date_created: 2024-04-15T11:58:31Z
date_updated: 2024-04-15T11:58:47Z
department:
- _id: '440'
language:
- iso: eng
place: Bolton
publication_identifier:
  isbn:
  - 978-0-907311-47-8
publication_status: published
publisher: Bolton Print
status: public
title: Lines in the Sand
type: book
user_id: '49787'
year: '2024'
...
