---
_id: '63635'
article_type: original
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Oliver
full_name: Matte, Oliver
last_name: Matte
citation:
ama: Hinrichs B, Matte O. Feynman–Kac Formula and Asymptotic Behavior of the Minimal
Energy for the Relativistic Nelson Model in Two Spatial Dimensions. Annales
Henri Poincaré. 2023;25(6):2877-2940. doi:10.1007/s00023-023-01369-z
apa: Hinrichs, B., & Matte, O. (2023). Feynman–Kac Formula and Asymptotic Behavior
of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions.
Annales Henri Poincaré, 25(6), 2877–2940. https://doi.org/10.1007/s00023-023-01369-z
bibtex: '@article{Hinrichs_Matte_2023, title={Feynman–Kac Formula and Asymptotic
Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial
Dimensions}, volume={25}, DOI={10.1007/s00023-023-01369-z},
number={6}, journal={Annales Henri Poincaré}, publisher={Springer Science and
Business Media LLC}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023},
pages={2877–2940} }'
chicago: 'Hinrichs, Benjamin, and Oliver Matte. “Feynman–Kac Formula and Asymptotic
Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial
Dimensions.” Annales Henri Poincaré 25, no. 6 (2023): 2877–2940. https://doi.org/10.1007/s00023-023-01369-z.'
ieee: 'B. Hinrichs and O. Matte, “Feynman–Kac Formula and Asymptotic Behavior of
the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions,”
Annales Henri Poincaré, vol. 25, no. 6, pp. 2877–2940, 2023, doi: 10.1007/s00023-023-01369-z.'
mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman–Kac Formula and Asymptotic Behavior
of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions.”
Annales Henri Poincaré, vol. 25, no. 6, Springer Science and Business Media
LLC, 2023, pp. 2877–940, doi:10.1007/s00023-023-01369-z.
short: B. Hinrichs, O. Matte, Annales Henri Poincaré 25 (2023) 2877–2940.
date_created: 2026-01-16T08:39:40Z
date_updated: 2026-01-16T09:05:26Z
department:
- _id: '799'
doi: 10.1007/s00023-023-01369-z
extern: '1'
external_id:
arxiv:
- '2211.14046'
intvolume: ' 25'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
page: 2877-2940
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
- 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic
Nelson Model in Two Spatial Dimensions
type: journal_article
user_id: '99427'
volume: 25
year: '2023'
...
---
_id: '46100'
article_number: '127558'
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Daan W.
full_name: Janssen, Daan W.
last_name: Janssen
- first_name: Jobst
full_name: Ziebell, Jobst
last_name: Ziebell
citation:
ama: 'Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A
sufficient condition. Journal of Mathematical Analysis and Applications.
2023;528(1). doi:10.1016/j.jmaa.2023.127558'
apa: 'Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay
of exponentials: A sufficient condition. Journal of Mathematical Analysis and
Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558'
bibtex: '@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of
exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558},
number={1127558}, journal={Journal of Mathematical Analysis and Applications},
publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell,
Jobst}, year={2023} }'
chicago: 'Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian
Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis
and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558.'
ieee: 'B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials:
A sufficient condition,” Journal of Mathematical Analysis and Applications,
vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.'
mla: 'Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient
Condition.” Journal of Mathematical Analysis and Applications, vol. 528,
no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.'
short: B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and
Applications 528 (2023).
date_created: 2023-07-20T05:08:49Z
date_updated: 2026-01-16T09:04:39Z
department:
- _id: '799'
doi: 10.1016/j.jmaa.2023.127558
external_id:
arxiv:
- '2205.09189'
intvolume: ' 528'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
issn:
- 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: 'Super-Gaussian decay of exponentials: A sufficient condition'
type: journal_article
user_id: '99427'
volume: 528
year: '2023'
...
---
_id: '31190'
abstract:
- lang: eng
text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$
of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor
the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting
function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich
is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved
by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between
horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions
of the algebra of invariant differential\r\noperators on $G/K$."
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
orcid: 0000-0001-8893-2045
citation:
ama: Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence.
Analysis & PDE. 2023;16(10):2241–2265. doi:https://doi.org/10.2140/apde.2023.16.2241
apa: Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical
correspondence. Analysis & PDE, 16(10), 2241–2265. https://doi.org/10.2140/apde.2023.16.2241
bibtex: '@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical
correspondence}, volume={16}, DOI={https://doi.org/10.2140/apde.2023.16.2241},
number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim
and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }'
chicago: 'Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical
Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265. https://doi.org/10.2140/apde.2023.16.2241.'
ieee: 'J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,”
Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023, doi: https://doi.org/10.2140/apde.2023.16.2241.'
mla: Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis
& PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265, doi:https://doi.org/10.2140/apde.2023.16.2241.
short: J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
date_created: 2022-05-11T10:41:35Z
date_updated: 2026-02-18T10:39:36Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: https://doi.org/10.2140/apde.2023.16.2241
external_id:
arxiv:
- '2103.05667'
intvolume: ' 16'
issue: '10'
language:
- iso: eng
page: 2241–2265
publication: Analysis & PDE
publisher: MSP
status: public
title: Higher rank quantum-classical correspondence
type: journal_article
user_id: '49178'
volume: 16
year: '2023'
...
---
_id: '31059'
abstract:
- lang: eng
text: In this article we prove meromorphic continuation of weighted zeta functions
in the framework of open hyperbolic systems by using the meromorphically continued
restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula
proving equality between residues of weighted zetas and invariant Ruelle distributions.
We combine this equality with results of Guillarmou, Hilgert and Weich (2021)
in order to relate the residues to Patterson-Sullivan distributions. Finally we
provide proof-of-principle results concerning the numerical calculation of invariant
Ruelle distributions for 3-disc scattering systems.
author:
- first_name: Philipp
full_name: Schütte, Philipp
id: '50168'
last_name: Schütte
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Sonja
full_name: Barkhofen, Sonja
id: '48188'
last_name: Barkhofen
citation:
ama: Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta
Functions on Open Hyperbolic Systems. Communications in Mathematical Physics.
2023;398:655-678. doi:https://doi.org/10.1007/s00220-022-04538-z
apa: Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation
of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical
Physics, 398, 655–678. https://doi.org/10.1007/s00220-022-04538-z
bibtex: '@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation
of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={https://doi.org/10.1007/s00220-022-04538-z},
journal={Communications in Mathematical Physics}, author={Schütte, Philipp and
Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }'
chicago: 'Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation
of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical
Physics 398 (2023): 655–78. https://doi.org/10.1007/s00220-022-04538-z.'
ieee: 'P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted
Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical
Physics, vol. 398, pp. 655–678, 2023, doi: https://doi.org/10.1007/s00220-022-04538-z.'
mla: Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions
on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol.
398, 2023, pp. 655–78, doi:https://doi.org/10.1007/s00220-022-04538-z.
short: P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics
398 (2023) 655–678.
date_created: 2022-05-04T12:27:46Z
date_updated: 2026-02-18T10:41:07Z
department:
- _id: '10'
- _id: '548'
- _id: '623'
- _id: '15'
doi: https://doi.org/10.1007/s00220-022-04538-z
external_id:
arxiv:
- '2112.05791'
intvolume: ' 398'
language:
- iso: eng
page: 655-678
publication: Communications in Mathematical Physics
status: public
title: Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
type: journal_article
user_id: '49178'
volume: 398
year: '2023'
...
---
_id: '58097'
author:
- first_name: Tobias
full_name: Mai, Tobias
last_name: Mai
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Mai T, Biehler R. Einblicke in ein Referenzmodell zur Analyse der Einführung
von Vektoren in Schulbüchern. In: IDMI-Primar Goethe-Universität Frankfurt, ed.
Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für
Didaktik der Mathematik. WTM-Verlag; 2023.'
apa: Mai, T., & Biehler, R. (2023). Einblicke in ein Referenzmodell zur Analyse
der Einführung von Vektoren in Schulbüchern. In IDMI-Primar Goethe-Universität
Frankfurt (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der
Gesellschaft für Didaktik der Mathematik. WTM-Verlag.
bibtex: '@inbook{Mai_Biehler_2023, place={Münster}, title={Einblicke in ein Referenzmodell
zur Analyse der Einführung von Vektoren in Schulbüchern}, booktitle={Beiträge
zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik
der Mathematik}, publisher={WTM-Verlag}, author={Mai, Tobias and Biehler, Rolf},
editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2023} }'
chicago: 'Mai, Tobias, and Rolf Biehler. “Einblicke in ein Referenzmodell zur Analyse
der Einführung von Vektoren in Schulbüchern.” In Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfurt. Münster: WTM-Verlag, 2023.'
ieee: 'T. Mai and R. Biehler, “Einblicke in ein Referenzmodell zur Analyse der Einführung
von Vektoren in Schulbüchern,” in Beiträge zum Mathematikunterricht 2022. 56.
Jahrestagung der Gesellschaft für Didaktik der Mathematik, IDMI-Primar Goethe-Universität
Frankfurt, Ed. Münster: WTM-Verlag, 2023.'
mla: Mai, Tobias, and Rolf Biehler. “Einblicke in ein Referenzmodell zur Analyse
der Einführung von Vektoren in Schulbüchern.” Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfurt, WTM-Verlag, 2023.
short: 'T. Mai, R. Biehler, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.),
Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für
Didaktik der Mathematik, WTM-Verlag, Münster, 2023.'
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2025-01-08T08:17:35Z
date_updated: 2025-01-08T08:17:40Z
ddc:
- '510'
department:
- _id: '363'
file:
- access_level: closed
content_type: application/pdf
creator: krueter
date_created: 2025-01-08T08:17:16Z
date_updated: 2025-01-08T08:17:16Z
file_id: '58098'
file_name: Mai aus Beitraege_2022___ISBN9783959872089-3.pdf
file_size: 546218
relation: main_file
success: 1
file_date_updated: 2025-01-08T08:17:16Z
has_accepted_license: '1'
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publisher: WTM-Verlag
status: public
title: Einblicke in ein Referenzmodell zur Analyse der Einführung von Vektoren in
Schulbüchern
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '58101'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Dominik
full_name: Guntermann, Dominik
last_name: Guntermann
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
citation:
ama: 'Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches
Design von Begründungsvideos im Projekt studiVEMINTvideos. In: IDMI-Primar Goethe-Universität
Frankfurt, ed. Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der
Gesellschaft für Didaktik der Mathematik. WTM-Verlag; 2023.'
apa: Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., & Schlüter,
S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos.
In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik. WTM-Verlag.
bibtex: '@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster},
title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Biehler, Rolf and
Guntermann, Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter,
Sarah}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2023} }'
chicago: 'Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer,
and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos im Projekt
studiVEMINTvideos.” In Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung
der Gesellschaft für Didaktik der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfurt. Münster: WTM-Verlag, 2023.'
ieee: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches
Design von Begründungsvideos im Projekt studiVEMINTvideos,” in Beiträge zum
Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der
Mathematik, IDMI-Primar Goethe-Universität Frankfurt, Ed. Münster: WTM-Verlag,
2023.'
mla: Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos im Projekt
studiVEMINTvideos.” Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung
der Gesellschaft für Didaktik der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfurt, WTM-Verlag, 2023.
short: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in:
IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, WTM-Verlag,
Münster, 2023.'
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2025-01-08T08:22:10Z
date_updated: 2025-01-08T08:22:14Z
ddc:
- '510'
department:
- _id: '363'
- _id: '625'
file:
- access_level: closed
content_type: application/pdf
creator: krueter
date_created: 2025-01-08T08:21:52Z
date_updated: 2025-01-08T08:21:52Z
file_id: '58102'
file_name: Biehler_studiVEMINT aus Beitraege_2022___ISBN9783959872089.pdf
file_size: 528531
relation: main_file
success: 1
file_date_updated: 2025-01-08T08:21:52Z
has_accepted_license: '1'
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publisher: WTM-Verlag
status: public
title: Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '58099'
author:
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Lankeit E, Biehler R. Das totale Differential und die Richtungsableitung –
Eine Analyse mit Blick in ausgewählte Lehrbücher. In: IDMI-Primar Goethe-Universität
Frankfurt, ed. Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der
Gesellschaft für Didaktik der Mathematik. WTM-Verlag; 2023.'
apa: Lankeit, E., & Biehler, R. (2023). Das totale Differential und die Richtungsableitung
– Eine Analyse mit Blick in ausgewählte Lehrbücher. In IDMI-Primar Goethe-Universität
Frankfurt (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der
Gesellschaft für Didaktik der Mathematik. WTM-Verlag.
bibtex: '@inbook{Lankeit_Biehler_2023, place={Münster}, title={Das totale Differential
und die Richtungsableitung – Eine Analyse mit Blick in ausgewählte Lehrbücher},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Lankeit, Elisa and
Biehler, Rolf}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2023}
}'
chicago: 'Lankeit, Elisa, and Rolf Biehler. “Das totale Differential und die Richtungsableitung
– Eine Analyse mit Blick in ausgewählte Lehrbücher.” In Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfurt. Münster: WTM-Verlag, 2023.'
ieee: 'E. Lankeit and R. Biehler, “Das totale Differential und die Richtungsableitung
– Eine Analyse mit Blick in ausgewählte Lehrbücher,” in Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, IDMI-Primar
Goethe-Universität Frankfurt, Ed. Münster: WTM-Verlag, 2023.'
mla: Lankeit, Elisa, and Rolf Biehler. “Das totale Differential und die Richtungsableitung
– Eine Analyse mit Blick in ausgewählte Lehrbücher.” Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfurt, WTM-Verlag, 2023.
short: 'E. Lankeit, R. Biehler, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.),
Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für
Didaktik der Mathematik, WTM-Verlag, Münster, 2023.'
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2025-01-08T08:19:59Z
date_updated: 2025-01-08T08:20:05Z
ddc:
- '510'
department:
- _id: '363'
file:
- access_level: closed
content_type: application/pdf
creator: krueter
date_created: 2025-01-08T08:19:33Z
date_updated: 2025-01-08T08:19:33Z
file_id: '58100'
file_name: Lankeit aus Beitraege_2022___ISBN9783959872089-2.pdf
file_size: 536630
relation: main_file
success: 1
file_date_updated: 2025-01-08T08:19:33Z
has_accepted_license: '1'
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publisher: WTM-Verlag
status: public
title: Das totale Differential und die Richtungsableitung – Eine Analyse mit Blick
in ausgewählte Lehrbücher
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '51383'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
citation:
ama: Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric
spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques.
2023;10:335-403.
apa: Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one
locally symmetric spaces - The case of exceptional parameters. J. de l’École
Polytechnique — Mathématiques, 10, 335–403.
bibtex: '@article{Hilgert_Arends_2023, title={Spectral correspondences for rank
one locally symmetric spaces - The case of exceptional parameters}, volume={10},
journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim
and Arends, C.}, year={2023}, pages={335–403} }'
chicago: 'Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One
Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École
Polytechnique — Mathématiques 10 (2023): 335–403.'
ieee: J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric
spaces - The case of exceptional parameters,” J. de l’École polytechnique —
Mathématiques, vol. 10, pp. 335–403, 2023.
mla: Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally
Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique
— Mathématiques, vol. 10, 2023, pp. 335–403.
short: J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023)
335–403.
date_created: 2024-02-19T06:34:11Z
date_updated: 2026-03-31T08:26:09Z
department:
- _id: '91'
intvolume: ' 10'
language:
- iso: eng
page: 335-403
publication: J. de l'École polytechnique — Mathématiques
publication_status: published
status: public
title: Spectral correspondences for rank one locally symmetric spaces - The case of
exceptional parameters
type: journal_article
user_id: '220'
volume: 10
year: '2023'
...
---
_id: '51384'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: H.
full_name: Glöckner, H.
last_name: Glöckner
citation:
ama: Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie
groups and G-manifolds. J Diff Equations. 2023;343:186-232.
apa: Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232.
bibtex: '@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert,
Joachim and Glöckner, H.}, year={2023}, pages={186–232} }'
chicago: 'Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.'
ieee: J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232,
2023.
mla: Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” J. Diff. Equations, vol. 343, 2023, pp. 186–232.
short: J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
date_created: 2024-02-19T06:35:08Z
date_updated: 2026-03-31T08:25:53Z
department:
- _id: '91'
intvolume: ' 343'
language:
- iso: eng
page: 186-232
publication: J. Diff. Equations
publication_status: published
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '220'
volume: 343
year: '2023'
...
---
_id: '53540'
abstract:
- lang: eng
text: "AbstractThis note is concerned with two
families of operators related to the fractional Laplacian, the first arising from
the Caffarelli-Silvestre extension problem and the second from the fractional
heat equation. They both include the Poisson semigroup. We show that on a complete,
connected, and non-compact Riemannian manifold of non-negative Ricci curvature,
in both cases, the solution with $$L^1$$\r\n \r\n
\ L\r\n 1\r\n
\ \r\n
initial data behaves asymptotically as the mass times the fundamental solution.
Similar long-time convergence results remain valid on more general manifolds satisfying
the Li-Yau two-sided estimate of the heat kernel. The situation changes drastically
on hyperbolic space, and more generally on rank one non-compact symmetric spaces:
we show that for the Poisson semigroup, the convergence to the Poisson kernel
fails -but remains true under the additional assumption of radial initial data."
author:
- first_name: Efthymia
full_name: Papageorgiou, Efthymia
id: '100325'
last_name: Papageorgiou
citation:
ama: Papageorgiou E. Large-Time Behavior of Two Families of Operators Related to
the Fractional Laplacian on Certain Riemannian Manifolds. Potential Analysis.
Published online 2023. doi:10.1007/s11118-023-10109-1
apa: Papageorgiou, E. (2023). Large-Time Behavior of Two Families of Operators Related
to the Fractional Laplacian on Certain Riemannian Manifolds. Potential Analysis.
https://doi.org/10.1007/s11118-023-10109-1
bibtex: '@article{Papageorgiou_2023, title={Large-Time Behavior of Two Families
of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds},
DOI={10.1007/s11118-023-10109-1},
journal={Potential Analysis}, publisher={Springer Science and Business Media LLC},
author={Papageorgiou, Efthymia}, year={2023} }'
chicago: Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators
Related to the Fractional Laplacian on Certain Riemannian Manifolds.” Potential
Analysis, 2023. https://doi.org/10.1007/s11118-023-10109-1.
ieee: 'E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related
to the Fractional Laplacian on Certain Riemannian Manifolds,” Potential Analysis,
2023, doi: 10.1007/s11118-023-10109-1.'
mla: Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related
to the Fractional Laplacian on Certain Riemannian Manifolds.” Potential Analysis,
Springer Science and Business Media LLC, 2023, doi:10.1007/s11118-023-10109-1.
short: E. Papageorgiou, Potential Analysis (2023).
date_created: 2024-04-17T13:17:37Z
date_updated: 2026-07-03T12:37:31Z
department:
- _id: '555'
doi: 10.1007/s11118-023-10109-1
keyword:
- Analysis
language:
- iso: eng
publication: Potential Analysis
publication_identifier:
issn:
- 0926-2601
- 1572-929X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Large-Time Behavior of Two Families of Operators Related to the Fractional
Laplacian on Certain Riemannian Manifolds
type: journal_article
user_id: '100325'
year: '2023'
...
---
_id: '53539'
abstract:
- lang: eng
text: "AbstractThe infinite Brownian loop on a
Riemannian manifold is the limit in distribution of the Brownian bridge of length
T around a fixed origin when $$T
\\rightarrow +\\infty $$\r\n
\ \r\n T\r\n →\r\n
\ +\r\n ∞\r\n
\ \r\n .
The aim of this note is to study its long-time asymptotics on Riemannian symmetric
spaces G/K of noncompact
type and of general rank. This amounts to the behavior of solutions to the heat
equation subject to the Doob transform induced by the ground spherical function.
Unlike the standard Brownian motion, we observe in this case phenomena which are
similar to the Euclidean setting, namely $$L^1$$\r\n \r\n
\ L\r\n 1\r\n
\ \r\n
asymptotic convergence without requiring bi-K-invariance
for initial data, and strong $$L^{\\infty
}$$\r\n
\ \r\n L\r\n ∞\r\n
\ \r\n
convergence."
author:
- first_name: Efthymia
full_name: Papageorgiou, Efthymia
id: '100325'
last_name: Papageorgiou
citation:
ama: Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric
spaces. Journal of Elliptic and Parabolic Equations. Published online 2023.
doi:10.1007/s41808-023-00250-8
apa: Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact
symmetric spaces. Journal of Elliptic and Parabolic Equations. https://doi.org/10.1007/s41808-023-00250-8
bibtex: '@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian
loop on noncompact symmetric spaces}, DOI={10.1007/s41808-023-00250-8},
journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science
and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }'
chicago: Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on
Noncompact Symmetric Spaces.” Journal of Elliptic and Parabolic Equations,
2023. https://doi.org/10.1007/s41808-023-00250-8.
ieee: 'E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact
symmetric spaces,” Journal of Elliptic and Parabolic Equations, 2023, doi:
10.1007/s41808-023-00250-8.'
mla: Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact
Symmetric Spaces.” Journal of Elliptic and Parabolic Equations, Springer
Science and Business Media LLC, 2023, doi:10.1007/s41808-023-00250-8.
short: E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).
date_created: 2024-04-17T13:16:39Z
date_updated: 2026-07-03T12:36:17Z
department:
- _id: '555'
doi: 10.1007/s41808-023-00250-8
keyword:
- Applied Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
publication: Journal of Elliptic and Parabolic Equations
publication_identifier:
issn:
- 2296-9020
- 2296-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Asymptotics for the infinite Brownian loop on noncompact symmetric spaces
type: journal_article
user_id: '100325'
year: '2023'
...
---
_id: '16296'
abstract:
- lang: eng
text: "Multiobjective optimization plays an increasingly important role in modern\r\napplications,
where several objectives are often of equal importance. The task\r\nin multiobjective
optimization and multiobjective optimal control is therefore\r\nto compute the
set of optimal compromises (the Pareto set) between the\r\nconflicting objectives.
Since the Pareto set generally consists of an infinite\r\nnumber of solutions,
the computational effort can quickly become challenging\r\nwhich is particularly
problematic when the objectives are costly to evaluate as\r\nis the case for models
governed by partial differential equations (PDEs). To\r\ndecrease the numerical
effort to an affordable amount, surrogate models can be\r\nused to replace the
expensive PDE evaluations. Existing multiobjective\r\noptimization methods using
model reduction are limited either to low parameter\r\ndimensions or to few (ideally
two) objectives. In this article, we present a\r\ncombination of the reduced basis
model reduction method with a continuation\r\napproach using inexact gradients.
The resulting approach can handle an\r\narbitrary number of objectives while yielding
a significant reduction in\r\ncomputing time."
author:
- first_name: Stefan
full_name: Banholzer, Stefan
last_name: Banholzer
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: 'Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective
Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland
H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based
Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3'
apa: Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022).
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.
In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth
and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer.
https://doi.org/10.1007/978-3-030-79393-7_3
bibtex: '@inbook{Banholzer_Gebken_Dellnitz_Peitz_Volkwein_2022, place={Cham}, title={ROM-Based
Multiobjective Optimization of Elliptic PDEs via Numerical Continuation}, DOI={10.1007/978-3-030-79393-7_3},
booktitle={Non-Smooth and Complementarity-Based Distributed Parameter Systems},
publisher={Springer}, author={Banholzer, Stefan and Gebken, Bennet and Dellnitz,
Michael and Peitz, Sebastian and Volkwein, Stefan}, editor={Michael, Hintermüller
and Roland, Herzog and Christian, Kanzow and Michael, Ulbrich and Stefan, Ulbrich},
year={2022}, pages={43–76} }'
chicago: 'Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and
Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical
Continuation.” In Non-Smooth and Complementarity-Based Distributed Parameter
Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian,
Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022. https://doi.org/10.1007/978-3-030-79393-7_3.'
ieee: 'S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based
Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth
and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland,
K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.'
mla: Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic
PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed
Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022,
pp. 43–76, doi:10.1007/978-3-030-79393-7_3.
short: 'S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael,
H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based
Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.'
date_created: 2020-03-13T12:45:31Z
date_updated: 2022-03-14T13:04:51Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/978-3-030-79393-7_3
editor:
- first_name: Hintermüller
full_name: Michael, Hintermüller
last_name: Michael
- first_name: Herzog
full_name: Roland, Herzog
last_name: Roland
- first_name: Kanzow
full_name: Christian, Kanzow
last_name: Christian
- first_name: Ulbrich
full_name: Michael, Ulbrich
last_name: Michael
- first_name: Ulbrich
full_name: Stefan, Ulbrich
last_name: Stefan
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/1906.09075.pdf
oa: '1'
page: 43-76
place: Cham
publication: Non-Smooth and Complementarity-Based Distributed Parameter Systems
publication_identifier:
isbn:
- 978-3-030-79392-0
publisher: Springer
status: public
title: ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
type: book_chapter
user_id: '47427'
year: '2022'
...
---
_id: '30294'
abstract:
- lang: eng
text: With the ever increasing capabilities of sensors and controllers, autonomous
driving is quickly becoming a reality. This disruptive change in the automotive
industry poses major challenges for manufacturers as well as suppliers as entirely
new design and testing strategies have to be developed to remain competitive.
Most importantly, the complexity of autonomously driving vehicles in a complex,
uncertain, and safety-critical environment requires new testing procedures to
cover the almost infinite range of potential scenarios.
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sebastian
full_name: Bannenberg, Sebastian
last_name: Bannenberg
citation:
ama: 'Peitz S, Dellnitz M, Bannenberg S. Efficient Virtual Design and Testing of
Autonomous Vehicles. In: Bock HG, Küfer K-H, Maas P, Milde A, Schulz V, eds. German
Success Stories in Industrial Mathematics. Vol 35. Mathematics in Industry.
Springer International Publishing; 2022. doi:10.1007/978-3-030-81455-7_23'
apa: Peitz, S., Dellnitz, M., & Bannenberg, S. (2022). Efficient Virtual Design
and Testing of Autonomous Vehicles. In H. G. Bock, K.-H. Küfer, P. Maas, A. Milde,
& V. Schulz (Eds.), German Success Stories in Industrial Mathematics
(Vol. 35). Springer International Publishing. https://doi.org/10.1007/978-3-030-81455-7_23
bibtex: '@inbook{Peitz_Dellnitz_Bannenberg_2022, place={Cham}, series={Mathematics
in Industry}, title={Efficient Virtual Design and Testing of Autonomous Vehicles},
volume={35}, DOI={10.1007/978-3-030-81455-7_23},
booktitle={German Success Stories in Industrial Mathematics}, publisher={Springer
International Publishing}, author={Peitz, Sebastian and Dellnitz, Michael and
Bannenberg, Sebastian}, editor={Bock, H. G. and Küfer, K.-H. and Maas, P. and
Milde, A. and Schulz, V.}, year={2022}, collection={Mathematics in Industry} }'
chicago: 'Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient
Virtual Design and Testing of Autonomous Vehicles.” In German Success Stories
in Industrial Mathematics, edited by H. G. Bock, K.-H. Küfer, P. Maas, A.
Milde, and V. Schulz, Vol. 35. Mathematics in Industry. Cham: Springer International
Publishing, 2022. https://doi.org/10.1007/978-3-030-81455-7_23.'
ieee: 'S. Peitz, M. Dellnitz, and S. Bannenberg, “Efficient Virtual Design and Testing
of Autonomous Vehicles,” in German Success Stories in Industrial Mathematics,
vol. 35, H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Eds. Cham:
Springer International Publishing, 2022.'
mla: Peitz, Sebastian, et al. “Efficient Virtual Design and Testing of Autonomous
Vehicles.” German Success Stories in Industrial Mathematics, edited by
H. G. Bock et al., vol. 35, Springer International Publishing, 2022, doi:10.1007/978-3-030-81455-7_23.
short: 'S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas,
A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics,
Springer International Publishing, Cham, 2022.'
date_created: 2022-03-14T07:32:41Z
date_updated: 2022-03-14T07:42:01Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/978-3-030-81455-7_23
editor:
- first_name: H. G.
full_name: Bock, H. G.
last_name: Bock
- first_name: K.-H.
full_name: Küfer, K.-H.
last_name: Küfer
- first_name: P.
full_name: Maas, P.
last_name: Maas
- first_name: A.
full_name: Milde, A.
last_name: Milde
- first_name: V.
full_name: Schulz, V.
last_name: Schulz
intvolume: ' 35'
language:
- iso: eng
place: Cham
publication: German Success Stories in Industrial Mathematics
publication_identifier:
isbn:
- '9783030814540'
- '9783030814557'
issn:
- 1612-3956
- 2198-3283
publication_status: published
publisher: Springer International Publishing
series_title: Mathematics in Industry
status: public
title: Efficient Virtual Design and Testing of Autonomous Vehicles
type: book_chapter
user_id: '47427'
volume: 35
year: '2022'
...
---
_id: '30490'
author:
- first_name: Jacky
full_name: Cresson, Jacky
last_name: Cresson
- first_name: Fernando
full_name: Jiménez, Fernando
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Cresson J, Jiménez F, Ober-Blöbaum S. Continuous and discrete Noether’s fractional
conserved quantities for restricted calculus of variations. AIMS. 2022;14(1):57-89.
apa: Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2022). Continuous and discrete
Noether’s fractional conserved quantities for restricted calculus of variations.
AIMS, 14(1), 57–89.
bibtex: '@article{Cresson_Jiménez_Ober-Blöbaum_2022, title={Continuous and discrete
Noether’s fractional conserved quantities for restricted calculus of variations},
volume={14(1)}, journal={AIMS}, author={Cresson, Jacky and Jiménez, Fernando and
Ober-Blöbaum, Sina}, year={2022}, pages={57–89} }'
chicago: 'Cresson, Jacky, Fernando Jiménez, and Sina Ober-Blöbaum. “Continuous and
Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of
Variations.” AIMS 14(1) (2022): 57–89.'
ieee: J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s
fractional conserved quantities for restricted calculus of variations,” AIMS,
vol. 14(1), pp. 57–89, 2022.
mla: Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved
Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022,
pp. 57–89.
short: J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.
date_created: 2022-03-24T12:26:10Z
date_updated: 2022-03-24T12:26:32Z
department:
- _id: '636'
language:
- iso: eng
page: 57-89
publication: AIMS
status: public
title: Continuous and discrete Noether's fractional conserved quantities for restricted
calculus of variations
type: journal_article
user_id: '15694'
volume: 14(1)
year: '2022'
...
---
_id: '30861'
abstract:
- lang: eng
text: AbstractWe consider the problem of maximization
of metabolite production in bacterial cells formulated as a dynamical optimal
control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions
are concatenations of singular and bang arcs and exhibit the chattering or Fuller
phenomenon, which is problematic for applications. To avoid chattering, we introduce
a reduced model which is still biologically relevant and retains the important
structural features of the original problem. Using a combination of analytical
and numerical methods, we show that the singular arc is dominant in the studied
DOCPs and exhibits the turnpike property. This property
is further used in order to design simple and realistic suboptimal control strategies.
author:
- first_name: Jean-Baptiste
full_name: Caillau, Jean-Baptiste
last_name: Caillau
- first_name: Walid
full_name: Djema, Walid
last_name: Djema
- first_name: Jean-Luc
full_name: Gouzé, Jean-Luc
last_name: Gouzé
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Jean-Baptiste
full_name: Pomet, Jean-Baptiste
last_name: Pomet
citation:
ama: Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property
in Optimal Microbial Metabolite Production. Journal of Optimization Theory
and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0
apa: Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B.
(2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal
of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0
bibtex: '@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property
in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0},
journal={Journal of Optimization Theory and Applications}, publisher={Springer
Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid
and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022}
}'
chicago: Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya,
and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.”
Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.
ieee: 'J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike
Property in Optimal Microbial Metabolite Production,” Journal of Optimization
Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.'
mla: Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite
Production.” Journal of Optimization Theory and Applications, Springer
Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0.
short: J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal
of Optimization Theory and Applications (2022).
date_created: 2022-04-08T17:23:13Z
date_updated: 2022-04-08T18:23:02Z
department:
- _id: '636'
doi: 10.1007/s10957-022-02023-0
keyword:
- Applied Mathematics
- Management Science and Operations Research
- Control and Optimization
language:
- iso: eng
publication: Journal of Optimization Theory and Applications
publication_identifier:
issn:
- 0022-3239
- 1573-2878
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Turnpike Property in Optimal Microbial Metabolite Production
type: journal_article
user_id: '87909'
year: '2022'
...
---
_id: '31982'
abstract:
- lang: eng
text: "AbstractWe show that for a generic conformal
metric perturbation of a compact hyperbolic 3-manifold $$\\Sigma
$$\r\n
\ Σ\r\n
with Betti number $$b_1$$\r\n \r\n
\ b\r\n 1\r\n
\ \r\n ,
the order of vanishing of the Ruelle zeta function at zero equals $$4-b_1$$\r\n \r\n
\ 4\r\n -\r\n
\ \r\n b\r\n
\ 1\r\n \r\n
\ \r\n ,
while in the hyperbolic case it is equal to $$4-2b_1$$\r\n \r\n
\ 4\r\n -\r\n
\ 2\r\n \r\n b\r\n
\ 1\r\n \r\n
\ \r\n .
This is in contrast to the 2-dimensional case where the order of vanishing is
a topological invariant. The proof uses the microlocal approach to dynamical zeta
functions, giving a geometric description of generalized Pollicott–Ruelle resonant
differential forms at 0 in the hyperbolic case and using first variation for the
perturbation. To show that the first variation is generically nonzero we introduce
a new identity relating pushforwards of products of resonant and coresonant 2-forms
on the sphere bundle $$S\\Sigma
$$\r\n
\ \r\n S\r\n Σ\r\n
\ \r\n
with harmonic 1-forms on $$\\Sigma
$$\r\n
\ Σ\r\n ."
author:
- first_name: Mihajlo
full_name: Cekić, Mihajlo
last_name: Cekić
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Semyon
full_name: Dyatlov, Semyon
last_name: Dyatlov
- first_name: Gabriel P.
full_name: Paternain, Gabriel P.
last_name: Paternain
citation:
ama: Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero
for nearly hyperbolic 3-manifolds. Inventiones mathematicae. 2022;229(1):303-394.
doi:10.1007/s00222-022-01108-x
apa: Cekić, M., Delarue, B., Dyatlov, S., & Paternain, G. P. (2022). The Ruelle
zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones Mathematicae,
229(1), 303–394. https://doi.org/10.1007/s00222-022-01108-x
bibtex: '@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function
at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={10.1007/s00222-022-01108-x},
number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and
Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov,
Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }'
chicago: 'Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain.
“The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones
Mathematicae 229, no. 1 (2022): 303–94. https://doi.org/10.1007/s00222-022-01108-x.'
ieee: 'M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function
at zero for nearly hyperbolic 3-manifolds,” Inventiones mathematicae, vol.
229, no. 1, pp. 303–394, 2022, doi: 10.1007/s00222-022-01108-x.'
mla: Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic
3-Manifolds.” Inventiones Mathematicae, vol. 229, no. 1, Springer Science
and Business Media LLC, 2022, pp. 303–94, doi:10.1007/s00222-022-01108-x.
short: M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae
229 (2022) 303–394.
date_created: 2022-06-20T08:24:17Z
date_updated: 2022-06-21T11:55:15Z
department:
- _id: '548'
doi: 10.1007/s00222-022-01108-x
intvolume: ' 229'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 303-394
publication: Inventiones mathematicae
publication_identifier:
issn:
- 0020-9910
- 1432-1297
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
type: journal_article
user_id: '70575'
volume: 229
year: '2022'
...
---
_id: '32233'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
- first_name: M.
full_name: Hattermann, M.
last_name: Hattermann
citation:
ama: 'Häsel-Weide U, Wallner M, Hattermann M. Symmetrieverständnis von Anfang an.
In: Gutzmann M, Carle U, Grundschulverband e. V., eds. Anfangsunterricht für
alle Kinder - Willkommen in der Schule!. ; 2022:200-215.'
apa: Häsel-Weide, U., Wallner, M., & Hattermann, M. (2022). Symmetrieverständnis
von Anfang an. In M. Gutzmann, U. Carle, & Grundschulverband e. V. (Eds.),
Anfangsunterricht für alle Kinder - Willkommen in der Schule! (pp. 200–215).
bibtex: '@inbook{Häsel-Weide_Wallner_Hattermann_2022, place={Frankfurt a. M.}, title={Symmetrieverständnis
von Anfang an}, booktitle={Anfangsunterricht für alle Kinder - Willkommen in der
Schule!}, author={Häsel-Weide, Uta and Wallner, Melina and Hattermann, M.}, editor={Gutzmann,
M. and Carle, U. and Grundschulverband e. V.}, year={2022}, pages={200–215} }'
chicago: Häsel-Weide, Uta, Melina Wallner, and M. Hattermann. “Symmetrieverständnis
von Anfang an.” In Anfangsunterricht für alle Kinder - Willkommen in der Schule!,
edited by M. Gutzmann, U. Carle, and Grundschulverband e. V., 200–215. Frankfurt
a. M., 2022.
ieee: U. Häsel-Weide, M. Wallner, and M. Hattermann, “Symmetrieverständnis von Anfang
an,” in Anfangsunterricht für alle Kinder - Willkommen in der Schule!,
M. Gutzmann, U. Carle, and Grundschulverband e. V., Eds. Frankfurt a. M., 2022,
pp. 200–215.
mla: Häsel-Weide, Uta, et al. “Symmetrieverständnis von Anfang an.” Anfangsunterricht
für alle Kinder - Willkommen in der Schule!, edited by M. Gutzmann et al.,
2022, pp. 200–15.
short: 'U. Häsel-Weide, M. Wallner, M. Hattermann, in: M. Gutzmann, U. Carle, Grundschulverband
e. V. (Eds.), Anfangsunterricht für alle Kinder - Willkommen in der Schule!, Frankfurt
a. M., 2022, pp. 200–215.'
corporate_editor:
- Grundschulverband e. V.
date_created: 2022-06-28T06:30:12Z
date_updated: 2022-07-05T06:48:40Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: M.
full_name: Gutzmann, M.
last_name: Gutzmann
- first_name: U.
full_name: Carle, U.
last_name: Carle
language:
- iso: ger
page: 200-215
place: Frankfurt a. M.
publication: Anfangsunterricht für alle Kinder - Willkommen in der Schule!
publication_status: published
status: public
title: Symmetrieverständnis von Anfang an
type: book_chapter
user_id: '45445'
year: '2022'
...
---
_id: '32339'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: S.
full_name: Seitz, S.
last_name: Seitz
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
- first_name: Y.
full_name: Wilke, Y.
last_name: Wilke
citation:
ama: 'Häsel-Weide U, Seitz S, Wallner M, Wilke Y. Professionalisierung für inklusiven
Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung
angehender Mathematiklehrkräfte in der Sekundarstufe. In: Lutz D, Becker J, Buchhaupt
F, Katzenbach D, Strecker A, Urban M, eds. Qualifizierung für Inklusion. Sekundarstufe.
Waxmann; 2022:83-100.'
apa: Häsel-Weide, U., Seitz, S., Wallner, M., & Wilke, Y. (2022). Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe. In
D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, & M. Urban (Eds.),
Qualifizierung für Inklusion. Sekundarstufe (pp. 83–100). Waxmann.
bibtex: '@inbook{Häsel-Weide_Seitz_Wallner_Wilke_2022, place={Münster}, title={Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe}, booktitle={Qualifizierung
für Inklusion. Sekundarstufe}, publisher={Waxmann}, author={Häsel-Weide, Uta and
Seitz, S. and Wallner, Melina and Wilke, Y.}, editor={Lutz, D. and Becker, J.
and Buchhaupt, F. and Katzenbach, D. and Strecker, A. and Urban, M.}, year={2022},
pages={83–100} }'
chicago: 'Häsel-Weide, Uta, S. Seitz, Melina Wallner, and Y. Wilke. “Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe.” In
Qualifizierung für Inklusion. Sekundarstufe, edited by D. Lutz, J. Becker,
F. Buchhaupt, D. Katzenbach, A. Strecker, and M. Urban, 83–100. Münster: Waxmann,
2022.'
ieee: 'U. Häsel-Weide, S. Seitz, M. Wallner, and Y. Wilke, “Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe,” in
Qualifizierung für Inklusion. Sekundarstufe, D. Lutz, J. Becker, F. Buchhaupt,
D. Katzenbach, A. Strecker, and M. Urban, Eds. Münster: Waxmann, 2022, pp. 83–100.'
mla: Häsel-Weide, Uta, et al. “Professionalisierung für inklusiven Mathematikunterricht.
Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender
Mathematiklehrkräfte in der Sekundarstufe.” Qualifizierung für Inklusion. Sekundarstufe,
edited by D. Lutz et al., Waxmann, 2022, pp. 83–100.
short: 'U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, in: D. Lutz, J. Becker,
F. Buchhaupt, D. Katzenbach, A. Strecker, M. Urban (Eds.), Qualifizierung für
Inklusion. Sekundarstufe, Waxmann, Münster, 2022, pp. 83–100.'
date_created: 2022-07-11T05:31:28Z
date_updated: 2022-07-11T05:31:46Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: D.
full_name: Lutz, D.
last_name: Lutz
- first_name: J.
full_name: Becker, J.
last_name: Becker
- first_name: F.
full_name: Buchhaupt, F.
last_name: Buchhaupt
- first_name: D.
full_name: Katzenbach, D.
last_name: Katzenbach
- first_name: A.
full_name: Strecker, A.
last_name: Strecker
- first_name: M.
full_name: Urban, M.
last_name: Urban
language:
- iso: ger
page: 83-100
place: Münster
publication: Qualifizierung für Inklusion. Sekundarstufe
publication_status: published
publisher: Waxmann
status: public
title: Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre
Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte
in der Sekundarstufe
type: book_chapter
user_id: '85821'
year: '2022'
...
---
_id: '32338'
author:
- first_name: K.
full_name: Hähn, K.
last_name: Hähn
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: P.
full_name: Scherer, P.
last_name: Scherer
citation:
ama: Hähn K, Häsel-Weide U, Scherer P. Diagnosegeleitete Förderung im inklusiven
Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte
Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion.
2022;3(2).
apa: Hähn, K., Häsel-Weide, U., & Scherer, P. (2022). Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung
für Inklusion, 3(2).
bibtex: '@article{Hähn_Häsel-Weide_Scherer_2022, title={Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung.}, volume={3}, number={2},
journal={QfI - Qualifizierung für Inklusion}, author={Hähn, K. and Häsel-Weide,
Uta and Scherer, P.}, year={2022} }'
chicago: Hähn, K., Uta Häsel-Weide, and P. Scherer. “Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung
für Inklusion 3, no. 2 (2022).
ieee: K. Hähn, U. Häsel-Weide, and P. Scherer, “Diagnosegeleitete Förderung im inklusiven
Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte
Handlungspraxis in der Lehrer*innenbildung.,” QfI - Qualifizierung für Inklusion,
vol. 3, no. 2, 2022.
mla: Hähn, K., et al. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht
der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der
Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion, vol. 3, no. 2,
2022.
short: K. Hähn, U. Häsel-Weide, P. Scherer, QfI - Qualifizierung für Inklusion 3
(2022).
date_created: 2022-07-11T05:13:52Z
date_updated: 2022-07-11T05:31:41Z
department:
- _id: '98'
- _id: '543'
intvolume: ' 3'
issue: '2'
language:
- iso: ger
publication: QfI - Qualifizierung für Inklusion
publication_status: published
related_material:
link:
- relation: contains
url: https://doi.org/10.21248/qfi.72
status: public
title: Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule
– Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.
type: journal_article
user_id: '85821'
volume: 3
year: '2022'
...
---
_id: '29673'
abstract:
- lang: eng
text: Koopman operator theory has been successfully applied to problems from various
research areas such as fluid dynamics, molecular dynamics, climate science, engineering,
and biology. Applications include detecting metastable or coherent sets, coarse-graining,
system identification, and control. There is an intricate connection between dynamical
systems driven by stochastic differential equations and quantum mechanics. In
this paper, we compare the ground-state transformation and Nelson's stochastic
mechanics and demonstrate how data-driven methods developed for the approximation
of the Koopman operator can be used to analyze quantum physics problems. Moreover,
we exploit the relationship between Schrödinger operators and stochastic control
problems to show that modern data-driven methods for stochastic control can be
used to solve the stationary or imaginary-time Schrödinger equation. Our findings
open up a new avenue towards solving Schrödinger's equation using recently developed
tools from data science.
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: 'Klus S, Nüske F, Peitz S. Koopman analysis of quantum systems. Journal
of Physics A: Mathematical and Theoretical. 2022;55(31):314002. doi:10.1088/1751-8121/ac7d22'
apa: 'Klus, S., Nüske, F., & Peitz, S. (2022). Koopman analysis of quantum systems.
Journal of Physics A: Mathematical and Theoretical, 55(31), 314002.
https://doi.org/10.1088/1751-8121/ac7d22'
bibtex: '@article{Klus_Nüske_Peitz_2022, title={Koopman analysis of quantum systems},
volume={55}, DOI={10.1088/1751-8121/ac7d22},
number={31}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP
Publishing Ltd.}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian},
year={2022}, pages={314002} }'
chicago: 'Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of
Quantum Systems.” Journal of Physics A: Mathematical and Theoretical 55,
no. 31 (2022): 314002. https://doi.org/10.1088/1751-8121/ac7d22.'
ieee: 'S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal
of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022,
doi: 10.1088/1751-8121/ac7d22.'
mla: 'Klus, Stefan, et al. “Koopman Analysis of Quantum Systems.” Journal of
Physics A: Mathematical and Theoretical, vol. 55, no. 31, IOP Publishing Ltd.,
2022, p. 314002, doi:10.1088/1751-8121/ac7d22.'
short: 'S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical
55 (2022) 314002.'
date_created: 2022-01-31T09:49:40Z
date_updated: 2022-07-18T14:26:41Z
department:
- _id: '655'
- _id: '101'
doi: 10.1088/1751-8121/ac7d22
external_id:
arxiv:
- '2201.12062'
intvolume: ' 55'
issue: '31'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://iopscience.iop.org/article/10.1088/1751-8121/ac7d22/pdf
oa: '1'
page: '314002'
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing Ltd.
status: public
title: Koopman analysis of quantum systems
type: journal_article
user_id: '47427'
volume: 55
year: '2022'
...