---
_id: '53345'
abstract:
- lang: eng
text: 'AbstractA no-flux initial-boundary value
problem forut=Δ(uϕ(v)),vt=Δv−uv,(⋆)is considered
in smoothly bounded subdomains ofRnwithn⩾1and suitably regular initial data, whereφis
assumed to reflect algebraic type cross-degeneracies by sharing essential features
with0⩽ξ↦ξαfor someα⩾1. Based on the discovery of a gradient structure acting
at regularity levels mild enough to be consistent with degeneracy-driven limitations
of smoothness information, in this general setting it is shown that with some
measurable limit profileu∞and
some null setN⋆⊂(0,∞),
a corresponding global generalized solution, known to exist according to recent
literature, satisfiesρ(u(⋅,t))⇀⋆ρ(u∞)in L∞(Ω) and v(⋅,t)→0in Lp(Ω)for
all p⩾1as(0,∞)∖N⋆∋t→∞, whereρ(ξ):=ξ2(ξ+1)2,ξ⩾0. In the particular case when eithern⩽2andα⩾1is arbitrary, orn⩾1andα∈[1,2],
additional quantitative information on the deviation of trajectories from the
initial data is derived. This is found to imply a lower estimate for the spatial
oscillation of the respective first components throughout evolution, and moreover
this is seen to entail that each of the uncountably many steady states(u⋆,0)of
(⋆) is stable with respect to a suitably chosen norm topology.'
author:
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear
diffusion model for migration–consumption interaction. Nonlinearity. 2023;36(8):4438-4469.
doi:10.1088/1361-6544/ace22e
apa: Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies
in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity,
36(8), 4438–4469. https://doi.org/10.1088/1361-6544/ace22e
bibtex: '@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies
in a nonlinear diffusion model for migration–consumption interaction}, volume={36},
DOI={10.1088/1361-6544/ace22e},
number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler,
Michael}, year={2023}, pages={4438–4469} }'
chicago: 'Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies
in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity
36, no. 8 (2023): 4438–69. https://doi.org/10.1088/1361-6544/ace22e.'
ieee: 'M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in
a nonlinear diffusion model for migration–consumption interaction,” Nonlinearity,
vol. 36, no. 8, pp. 4438–4469, 2023, doi: 10.1088/1361-6544/ace22e.'
mla: Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies
in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity,
vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:10.1088/1361-6544/ace22e.
short: M. Winkler, Nonlinearity 36 (2023) 4438–4469.
date_created: 2024-04-07T12:56:35Z
date_updated: 2024-04-07T12:56:40Z
doi: 10.1088/1361-6544/ace22e
intvolume: ' 36'
issue: '8'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 4438-4469
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion
model for migration–consumption interaction
type: journal_article
user_id: '31496'
volume: 36
year: '2023'
...
---
_id: '53410'
abstract:
- lang: eng
text: AbstractWe consider a geodesic billiard system
consisting of a complete Riemannian manifold and an obstacle submanifold with
boundary at which the trajectories of the geodesic flow experience specular reflections.
We show that if the geodesic billiard system is hyperbolic on its trapped set
and the latter is compact and non-grazing, the techniques for open hyperbolic
systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146,
2016) can be applied to a smooth model for the discontinuous flow defined by the
non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent
for the generator of the billiard flow. As an application we prove a meromorphic
continuation of weighted zeta functions together with explicit residue formulae.
In particular, our results apply to scattering by convex obstacles in the Euclidean
plane.
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- 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
citation:
ama: Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle
Scattering via Smooth Models. Annales Henri Poincaré. 2023;25(2):1607-1656.
doi:10.1007/s00023-023-01379-x
apa: Delarue, B., Schütte, P., & Weich, T. (2023). Resonances and Weighted Zeta
Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré,
25(2), 1607–1656. https://doi.org/10.1007/s00023-023-01379-x
bibtex: '@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta
Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={10.1007/s00023-023-01379-x},
number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and
Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich,
Tobias}, year={2023}, pages={1607–1656} }'
chicago: 'Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and
Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” Annales
Henri Poincaré 25, no. 2 (2023): 1607–56. https://doi.org/10.1007/s00023-023-01379-x.'
ieee: 'B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions
for Obstacle Scattering via Smooth Models,” Annales Henri Poincaré, vol.
25, no. 2, pp. 1607–1656, 2023, doi: 10.1007/s00023-023-01379-x.'
mla: Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle
Scattering via Smooth Models.” Annales Henri Poincaré, vol. 25, no. 2,
Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:10.1007/s00023-023-01379-x.
short: B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.
date_created: 2024-04-11T12:30:14Z
date_updated: 2024-04-11T12:37:34Z
department:
- _id: '548'
doi: 10.1007/s00023-023-01379-x
intvolume: ' 25'
issue: '2'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1607-1656
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
- 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
type: journal_article
user_id: '70575'
volume: 25
year: '2023'
...
---
_id: '42679'
abstract:
- lang: eng
text: The Saharan desert ant Cataglyphis bombycina is densely covered with shiny
silver setae (hair-like structures). Their appearance was explained by geometric
optics and total internal reflection. The setae also increase the emissivity of
the ant, as they form an effective medium. This work provides additional data
on microstructural details of the setae that are used to simulate the scattering
of an individual seta to explain their influence on the optical properties. This
is achieved by characterization of their structure using light microscopy and
scanning/transmission electron microscopy. How the microstructural features influence
scattering is investigated wave-optically within the limits of finite-difference
time-domain simulations from the ultraviolet to the mid-infrared spectral range
to elucidate the optical effects beyond ray optics and effective medium theory.
The results show that Mie scattering plays an important role in protecting the
ant from solar radiation and could be relevant for its thermal tolerance.
article_type: original
author:
- first_name: Bertram
full_name: Schwind, Bertram
last_name: Schwind
- first_name: Xia
full_name: Wu, Xia
last_name: Wu
- first_name: Michael
full_name: Tiemann, Michael
id: '23547'
last_name: Tiemann
orcid: 0000-0003-1711-2722
- first_name: Helge-Otto
full_name: Fabritius, Helge-Otto
last_name: Fabritius
citation:
ama: Schwind B, Wu X, Tiemann M, Fabritius H-O. Broadband Mie scattering effects
by structural features of setae from the Saharan silver ant Cataglyphis bombycina.
Journal of the Optical Society of America B. 2023;40(3):B49-B58. doi:10.1364/josab.474899
apa: Schwind, B., Wu, X., Tiemann, M., & Fabritius, H.-O. (2023). Broadband
Mie scattering effects by structural features of setae from the Saharan silver
ant Cataglyphis bombycina. Journal of the Optical Society of America B,
40(3), B49–B58. https://doi.org/10.1364/josab.474899
bibtex: '@article{Schwind_Wu_Tiemann_Fabritius_2023, title={Broadband Mie scattering
effects by structural features of setae from the Saharan silver ant Cataglyphis
bombycina}, volume={40}, DOI={10.1364/josab.474899},
number={3}, journal={Journal of the Optical Society of America B}, publisher={Optica
Publishing Group}, author={Schwind, Bertram and Wu, Xia and Tiemann, Michael and
Fabritius, Helge-Otto}, year={2023}, pages={B49–B58} }'
chicago: 'Schwind, Bertram, Xia Wu, Michael Tiemann, and Helge-Otto Fabritius. “Broadband
Mie Scattering Effects by Structural Features of Setae from the Saharan Silver
Ant Cataglyphis Bombycina.” Journal of the Optical Society of America B
40, no. 3 (2023): B49–58. https://doi.org/10.1364/josab.474899.'
ieee: 'B. Schwind, X. Wu, M. Tiemann, and H.-O. Fabritius, “Broadband Mie scattering
effects by structural features of setae from the Saharan silver ant Cataglyphis
bombycina,” Journal of the Optical Society of America B, vol. 40, no. 3,
pp. B49–B58, 2023, doi: 10.1364/josab.474899.'
mla: Schwind, Bertram, et al. “Broadband Mie Scattering Effects by Structural Features
of Setae from the Saharan Silver Ant Cataglyphis Bombycina.” Journal of the
Optical Society of America B, vol. 40, no. 3, Optica Publishing Group, 2023,
pp. B49–58, doi:10.1364/josab.474899.
short: B. Schwind, X. Wu, M. Tiemann, H.-O. Fabritius, Journal of the Optical Society
of America B 40 (2023) B49–B58.
date_created: 2023-03-02T17:48:38Z
date_updated: 2024-05-22T14:29:39Z
department:
- _id: '35'
- _id: '2'
- _id: '307'
- _id: '230'
doi: 10.1364/josab.474899
intvolume: ' 40'
issue: '3'
keyword:
- Atomic and Molecular Physics
- and Optics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: B49 - B58
publication: Journal of the Optical Society of America B
publication_identifier:
issn:
- 0740-3224
- 1520-8540
publication_status: published
publisher: Optica Publishing Group
quality_controlled: '1'
status: public
title: Broadband Mie scattering effects by structural features of setae from the Saharan
silver ant Cataglyphis bombycina
type: journal_article
user_id: '23547'
volume: 40
year: '2023'
...
---
_id: '33264'
abstract:
- lang: eng
text: We investigate bifurcations in feedforward coupled cell networks. Feedforward
structure (the absence of feedback) can be defined by a partial order on the cells.
We use this property to study generic one-parameter steady state bifurcations
for such networks. Branching solutions and their asymptotics are described in
terms of Taylor coefficients of the internal dynamics. They can be determined
via an algorithm that only exploits the network structure. Similar to previous
results on feedforward chains, we observe amplifications of the growth rates of
steady state branches induced by the feedforward structure. However, contrary
to these earlier results, as the interaction scenarios can be more complicated
in general feedforward networks, different branching patterns and different amplifications
can occur for different regions in the space of Taylor coefficients.
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in
feedforward networks. Nonlinearity. 2022;35(4):2073-2120. doi:10.1088/1361-6544/ac5463
apa: von der Gracht, S., Nijholt, E., & Rink, B. (2022). Amplified steady state
bifurcations in feedforward networks. Nonlinearity, 35(4), 2073–2120.
https://doi.org/10.1088/1361-6544/ac5463
bibtex: '@article{von der Gracht_Nijholt_Rink_2022, title={Amplified steady state
bifurcations in feedforward networks}, volume={35}, DOI={10.1088/1361-6544/ac5463},
number={4}, journal={Nonlinearity}, publisher={IOP Publishing}, author={von der
Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2022}, pages={2073–2120}
}'
chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady
State Bifurcations in Feedforward Networks.” Nonlinearity 35, no. 4 (2022):
2073–2120. https://doi.org/10.1088/1361-6544/ac5463.'
ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations
in feedforward networks,” Nonlinearity, vol. 35, no. 4, pp. 2073–2120,
2022, doi: 10.1088/1361-6544/ac5463.'
mla: von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward
Networks.” Nonlinearity, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120,
doi:10.1088/1361-6544/ac5463.
short: S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
date_created: 2022-09-06T11:38:15Z
date_updated: 2022-09-07T08:36:46Z
doi: 10.1088/1361-6544/ac5463
extern: '1'
external_id:
arxiv:
- '2105.02547'
intvolume: ' 35'
issue: '4'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 2073-2120
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Amplified steady state bifurcations in feedforward networks
type: journal_article
user_id: '97359'
volume: 35
year: '2022'
...
---
_id: '33332'
article_number: '2200049'
author:
- first_name: Frederik
full_name: Bopp, Frederik
last_name: Bopp
- first_name: Jonathan
full_name: Rojas, Jonathan
last_name: Rojas
- first_name: Natalia
full_name: Revenga, Natalia
last_name: Revenga
- first_name: Hubert
full_name: Riedl, Hubert
last_name: Riedl
- first_name: Friedrich
full_name: Sbresny, Friedrich
last_name: Sbresny
- first_name: Katarina
full_name: Boos, Katarina
last_name: Boos
- first_name: Tobias
full_name: Simmet, Tobias
last_name: Simmet
- first_name: Arash
full_name: Ahmadi, Arash
last_name: Ahmadi
- first_name: David
full_name: Gershoni, David
last_name: Gershoni
- first_name: Jacek
full_name: Kasprzak, Jacek
last_name: Kasprzak
- first_name: Arne
full_name: Ludwig, Arne
last_name: Ludwig
- first_name: Stephan
full_name: Reitzenstein, Stephan
last_name: Reitzenstein
- first_name: Andreas
full_name: Wieck, Andreas
last_name: Wieck
- first_name: Dirk
full_name: Reuter, Dirk
id: '37763'
last_name: Reuter
- first_name: Kai
full_name: Müller, Kai
last_name: Müller
- first_name: Jonathan J.
full_name: Finley, Jonathan J.
last_name: Finley
citation:
ama: Bopp F, Rojas J, Revenga N, et al. Quantum Dot Molecule Devices with Optical
Control of Charge Status and Electronic Control of Coupling. Advanced Quantum
Technologies. Published online 2022. doi:10.1002/qute.202200049
apa: Bopp, F., Rojas, J., Revenga, N., Riedl, H., Sbresny, F., Boos, K., Simmet,
T., Ahmadi, A., Gershoni, D., Kasprzak, J., Ludwig, A., Reitzenstein, S., Wieck,
A., Reuter, D., Müller, K., & Finley, J. J. (2022). Quantum Dot Molecule Devices
with Optical Control of Charge Status and Electronic Control of Coupling. Advanced
Quantum Technologies, Article 2200049. https://doi.org/10.1002/qute.202200049
bibtex: '@article{Bopp_Rojas_Revenga_Riedl_Sbresny_Boos_Simmet_Ahmadi_Gershoni_Kasprzak_et
al._2022, title={Quantum Dot Molecule Devices with Optical Control of Charge Status
and Electronic Control of Coupling}, DOI={10.1002/qute.202200049},
number={2200049}, journal={Advanced Quantum Technologies}, publisher={Wiley},
author={Bopp, Frederik and Rojas, Jonathan and Revenga, Natalia and Riedl, Hubert
and Sbresny, Friedrich and Boos, Katarina and Simmet, Tobias and Ahmadi, Arash
and Gershoni, David and Kasprzak, Jacek and et al.}, year={2022} }'
chicago: Bopp, Frederik, Jonathan Rojas, Natalia Revenga, Hubert Riedl, Friedrich
Sbresny, Katarina Boos, Tobias Simmet, et al. “Quantum Dot Molecule Devices with
Optical Control of Charge Status and Electronic Control of Coupling.” Advanced
Quantum Technologies, 2022. https://doi.org/10.1002/qute.202200049.
ieee: 'F. Bopp et al., “Quantum Dot Molecule Devices with Optical Control
of Charge Status and Electronic Control of Coupling,” Advanced Quantum Technologies,
Art. no. 2200049, 2022, doi: 10.1002/qute.202200049.'
mla: Bopp, Frederik, et al. “Quantum Dot Molecule Devices with Optical Control of
Charge Status and Electronic Control of Coupling.” Advanced Quantum Technologies,
2200049, Wiley, 2022, doi:10.1002/qute.202200049.
short: F. Bopp, J. Rojas, N. Revenga, H. Riedl, F. Sbresny, K. Boos, T. Simmet,
A. Ahmadi, D. Gershoni, J. Kasprzak, A. Ludwig, S. Reitzenstein, A. Wieck, D.
Reuter, K. Müller, J.J. Finley, Advanced Quantum Technologies (2022).
date_created: 2022-09-12T07:17:26Z
date_updated: 2022-09-12T07:18:06Z
department:
- _id: '15'
- _id: '230'
doi: 10.1002/qute.202200049
keyword:
- Electrical and Electronic Engineering
- Computational Theory and Mathematics
- Condensed Matter Physics
- Mathematical Physics
- Nuclear and High Energy Physics
- Electronic
- Optical and Magnetic Materials
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Advanced Quantum Technologies
publication_identifier:
issn:
- 2511-9044
- 2511-9044
publication_status: published
publisher: Wiley
status: public
title: Quantum Dot Molecule Devices with Optical Control of Charge Status and Electronic
Control of Coupling
type: journal_article
user_id: '42514'
year: '2022'
...
---
_id: '35322'
author:
- first_name: Kai-Uwe
full_name: Bux, Kai-Uwe
last_name: Bux
- 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
citation:
ama: Bux K-U, Hilgert J, Weich T. Poisson transforms for trees of bounded degree.
Journal of Spectral Theory. 2022;12(2):659-681. doi:10.4171/jst/414
apa: Bux, K.-U., Hilgert, J., & Weich, T. (2022). Poisson transforms for trees
of bounded degree. Journal of Spectral Theory, 12(2), 659–681. https://doi.org/10.4171/jst/414
bibtex: '@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of
bounded degree}, volume={12}, DOI={10.4171/jst/414},
number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical
Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim
and Weich, Tobias}, year={2022}, pages={659–681} }'
chicago: 'Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for
Trees of Bounded Degree.” Journal of Spectral Theory 12, no. 2 (2022):
659–81. https://doi.org/10.4171/jst/414.'
ieee: 'K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded
degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022,
doi: 10.4171/jst/414.'
mla: Bux, Kai-Uwe, et al. “Poisson Transforms for Trees of Bounded Degree.” Journal
of Spectral Theory, vol. 12, no. 2, European Mathematical Society - EMS -
Publishing House GmbH, 2022, pp. 659–81, doi:10.4171/jst/414.
short: K.-U. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory 12 (2022) 659–681.
date_created: 2023-01-06T08:49:06Z
date_updated: 2024-02-19T06:28:12Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
doi: 10.4171/jst/414
intvolume: ' 12'
issue: '2'
keyword:
- Geometry and Topology
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 659-681
publication: Journal of Spectral Theory
publication_identifier:
issn:
- 1664-039X
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '49063'
volume: 12
year: '2022'
...
---
_id: '32243'
abstract:
- lang: eng
text: "Abstract\r\n The defining
feature of active particles is that they constantly propel themselves by locally
converting chemical energy into directed motion. This active self-propulsion prevents
them from equilibrating with their thermal environment (e.g. an aqueous solution),
thus keeping them permanently out of equilibrium. Nevertheless, the spatial dynamics
of active particles might share certain equilibrium features, in particular in
the steady state. We here focus on the time-reversal symmetry of individual spatial
trajectories as a distinct equilibrium characteristic. We investigate to what
extent the steady-state trajectories of a trapped active particle obey or break
this time-reversal symmetry. Within the framework of active Ornstein–Uhlenbeck
particles we find that the steady-state trajectories in a harmonic potential fulfill
path-wise time-reversal symmetry exactly, while this symmetry is typically broken
in anharmonic potentials."
article_number: '033216'
author:
- first_name: Lennart
full_name: Dabelow, Lennart
last_name: Dabelow
- first_name: Stefano
full_name: Bo, Stefano
last_name: Bo
- first_name: Ralf
full_name: Eichhorn, Ralf
last_name: Eichhorn
citation:
ama: 'Dabelow L, Bo S, Eichhorn R. How irreversible are steady-state trajectories
of a trapped active particle? Journal of Statistical Mechanics: Theory and
Experiment. 2021;2021(3). doi:10.1088/1742-5468/abe6fd'
apa: 'Dabelow, L., Bo, S., & Eichhorn, R. (2021). How irreversible are steady-state
trajectories of a trapped active particle? Journal of Statistical Mechanics:
Theory and Experiment, 2021(3), Article 033216. https://doi.org/10.1088/1742-5468/abe6fd'
bibtex: '@article{Dabelow_Bo_Eichhorn_2021, title={How irreversible are steady-state
trajectories of a trapped active particle?}, volume={2021}, DOI={10.1088/1742-5468/abe6fd},
number={3033216}, journal={Journal of Statistical Mechanics: Theory and Experiment},
publisher={IOP Publishing}, author={Dabelow, Lennart and Bo, Stefano and Eichhorn,
Ralf}, year={2021} }'
chicago: 'Dabelow, Lennart, Stefano Bo, and Ralf Eichhorn. “How Irreversible Are
Steady-State Trajectories of a Trapped Active Particle?” Journal of Statistical
Mechanics: Theory and Experiment 2021, no. 3 (2021). https://doi.org/10.1088/1742-5468/abe6fd.'
ieee: 'L. Dabelow, S. Bo, and R. Eichhorn, “How irreversible are steady-state trajectories
of a trapped active particle?,” Journal of Statistical Mechanics: Theory and
Experiment, vol. 2021, no. 3, Art. no. 033216, 2021, doi: 10.1088/1742-5468/abe6fd.'
mla: 'Dabelow, Lennart, et al. “How Irreversible Are Steady-State Trajectories of
a Trapped Active Particle?” Journal of Statistical Mechanics: Theory and Experiment,
vol. 2021, no. 3, 033216, IOP Publishing, 2021, doi:10.1088/1742-5468/abe6fd.'
short: 'L. Dabelow, S. Bo, R. Eichhorn, Journal of Statistical Mechanics: Theory
and Experiment 2021 (2021).'
date_created: 2022-06-28T07:27:41Z
date_updated: 2022-06-28T07:28:14Z
department:
- _id: '27'
doi: 10.1088/1742-5468/abe6fd
intvolume: ' 2021'
issue: '3'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Statistical and Nonlinear Physics
language:
- iso: eng
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
issn:
- 1742-5468
publication_status: published
publisher: IOP Publishing
status: public
title: How irreversible are steady-state trajectories of a trapped active particle?
type: journal_article
user_id: '15278'
volume: 2021
year: '2021'
...
---
_id: '32006'
author:
- first_name: Colin
full_name: Guillarmou, Colin
last_name: Guillarmou
- first_name: Benjamin
full_name: Küster, Benjamin
last_name: Küster
citation:
ama: Guillarmou C, Küster B. Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.
Annales Henri Poincaré. 2021;22(11):3565-3617. doi:10.1007/s00023-021-01068-7
apa: Guillarmou, C., & Küster, B. (2021). Spectral Theory of the Frame Flow
on Hyperbolic 3-Manifolds. Annales Henri Poincaré, 22(11), 3565–3617.
https://doi.org/10.1007/s00023-021-01068-7
bibtex: '@article{Guillarmou_Küster_2021, title={Spectral Theory of the Frame Flow
on Hyperbolic 3-Manifolds}, volume={22}, DOI={10.1007/s00023-021-01068-7},
number={11}, journal={Annales Henri Poincaré}, publisher={Springer Science and
Business Media LLC}, author={Guillarmou, Colin and Küster, Benjamin}, year={2021},
pages={3565–3617} }'
chicago: 'Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame
Flow on Hyperbolic 3-Manifolds.” Annales Henri Poincaré 22, no. 11 (2021):
3565–3617. https://doi.org/10.1007/s00023-021-01068-7.'
ieee: 'C. Guillarmou and B. Küster, “Spectral Theory of the Frame Flow on Hyperbolic
3-Manifolds,” Annales Henri Poincaré, vol. 22, no. 11, pp. 3565–3617, 2021,
doi: 10.1007/s00023-021-01068-7.'
mla: Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow
on Hyperbolic 3-Manifolds.” Annales Henri Poincaré, vol. 22, no. 11, Springer
Science and Business Media LLC, 2021, pp. 3565–617, doi:10.1007/s00023-021-01068-7.
short: C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.
date_created: 2022-06-20T08:37:52Z
date_updated: 2024-04-11T12:39:23Z
department:
- _id: '548'
doi: 10.1007/s00023-021-01068-7
intvolume: ' 22'
issue: '11'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 3565-3617
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
- 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds
type: journal_article
user_id: '70575'
volume: 22
year: '2021'
...
---
_id: '46135'
article_number: '2100002'
author:
- first_name: Johannes
full_name: Schall, Johannes
last_name: Schall
- first_name: Marielle
full_name: Deconinck, Marielle
last_name: Deconinck
- first_name: Nikolai
full_name: Bart, Nikolai
last_name: Bart
- first_name: Matthias
full_name: Florian, Matthias
last_name: Florian
- first_name: Martin
full_name: Helversen, Martin
last_name: Helversen
- first_name: Christian
full_name: Dangel, Christian
last_name: Dangel
- first_name: Ronny
full_name: Schmidt, Ronny
last_name: Schmidt
- first_name: Lucas
full_name: Bremer, Lucas
last_name: Bremer
- first_name: Frederik
full_name: Bopp, Frederik
last_name: Bopp
- first_name: Isabell
full_name: Hüllen, Isabell
last_name: Hüllen
- first_name: Christopher
full_name: Gies, Christopher
last_name: Gies
- first_name: Dirk
full_name: Reuter, Dirk
id: '37763'
last_name: Reuter
- first_name: Andreas D.
full_name: Wieck, Andreas D.
last_name: Wieck
- first_name: Sven
full_name: Rodt, Sven
last_name: Rodt
- first_name: Jonathan J.
full_name: Finley, Jonathan J.
last_name: Finley
- first_name: Frank
full_name: Jahnke, Frank
last_name: Jahnke
- first_name: Arne
full_name: Ludwig, Arne
last_name: Ludwig
- first_name: Stephan
full_name: Reitzenstein, Stephan
last_name: Reitzenstein
citation:
ama: Schall J, Deconinck M, Bart N, et al. Bright Electrically Controllable Quantum‐Dot‐Molecule
Devices Fabricated by In Situ Electron‐Beam Lithography. Advanced Quantum Technologies.
2021;4(6). doi:10.1002/qute.202100002
apa: Schall, J., Deconinck, M., Bart, N., Florian, M., Helversen, M., Dangel, C.,
Schmidt, R., Bremer, L., Bopp, F., Hüllen, I., Gies, C., Reuter, D., Wieck, A.
D., Rodt, S., Finley, J. J., Jahnke, F., Ludwig, A., & Reitzenstein, S. (2021).
Bright Electrically Controllable Quantum‐Dot‐Molecule Devices Fabricated by In
Situ Electron‐Beam Lithography. Advanced Quantum Technologies, 4(6),
Article 2100002. https://doi.org/10.1002/qute.202100002
bibtex: '@article{Schall_Deconinck_Bart_Florian_Helversen_Dangel_Schmidt_Bremer_Bopp_Hüllen_et
al._2021, title={Bright Electrically Controllable Quantum‐Dot‐Molecule Devices
Fabricated by In Situ Electron‐Beam Lithography}, volume={4}, DOI={10.1002/qute.202100002},
number={62100002}, journal={Advanced Quantum Technologies}, publisher={Wiley},
author={Schall, Johannes and Deconinck, Marielle and Bart, Nikolai and Florian,
Matthias and Helversen, Martin and Dangel, Christian and Schmidt, Ronny and Bremer,
Lucas and Bopp, Frederik and Hüllen, Isabell and et al.}, year={2021} }'
chicago: Schall, Johannes, Marielle Deconinck, Nikolai Bart, Matthias Florian, Martin
Helversen, Christian Dangel, Ronny Schmidt, et al. “Bright Electrically Controllable
Quantum‐Dot‐Molecule Devices Fabricated by In Situ Electron‐Beam Lithography.”
Advanced Quantum Technologies 4, no. 6 (2021). https://doi.org/10.1002/qute.202100002.
ieee: 'J. Schall et al., “Bright Electrically Controllable Quantum‐Dot‐Molecule
Devices Fabricated by In Situ Electron‐Beam Lithography,” Advanced Quantum
Technologies, vol. 4, no. 6, Art. no. 2100002, 2021, doi: 10.1002/qute.202100002.'
mla: Schall, Johannes, et al. “Bright Electrically Controllable Quantum‐Dot‐Molecule
Devices Fabricated by In Situ Electron‐Beam Lithography.” Advanced Quantum
Technologies, vol. 4, no. 6, 2100002, Wiley, 2021, doi:10.1002/qute.202100002.
short: J. Schall, M. Deconinck, N. Bart, M. Florian, M. Helversen, C. Dangel, R.
Schmidt, L. Bremer, F. Bopp, I. Hüllen, C. Gies, D. Reuter, A.D. Wieck, S. Rodt,
J.J. Finley, F. Jahnke, A. Ludwig, S. Reitzenstein, Advanced Quantum Technologies
4 (2021).
date_created: 2023-07-25T08:45:57Z
date_updated: 2023-07-25T08:46:47Z
department:
- _id: '15'
- _id: '230'
doi: 10.1002/qute.202100002
intvolume: ' 4'
issue: '6'
keyword:
- Electrical and Electronic Engineering
- Computational Theory and Mathematics
- Condensed Matter Physics
- Mathematical Physics
- Nuclear and High Energy Physics
- Electronic
- Optical and Magnetic Materials
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Advanced Quantum Technologies
publication_identifier:
issn:
- 2511-9044
- 2511-9044
publication_status: published
publisher: Wiley
status: public
title: Bright Electrically Controllable Quantum‐Dot‐Molecule Devices Fabricated by
In Situ Electron‐Beam Lithography
type: journal_article
user_id: '42514'
volume: 4
year: '2021'
...
---
_id: '31264'
abstract:
- lang: eng
text: "AbstractGiven a closed orientable hyperbolic
manifold of dimension $$\\ne
3$$\r\n
\ \r\n ≠\r\n 3\r\n
\ \r\n
we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic
flow on perpendicular one-forms at zero agrees with the first Betti number of
the manifold. Additionally, we prove that this equality is stable under small
perturbations of the Riemannian metric and simultaneous small perturbations of
the geodesic vector field within the class of contact vector fields. For more
general perturbations we get bounds on the multiplicity of the resonance zero
on all one-forms in terms of the first and zeroth Betti numbers. Furthermore,
we identify for hyperbolic manifolds further resonance spaces whose multiplicities
are given by higher Betti numbers.\r\n"
author:
- first_name: Benjamin
full_name: Küster, Benjamin
last_name: Küster
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications
in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
apa: Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti
Numbers. Communications in Mathematical Physics, 378(2), 917–941.
https://doi.org/10.1007/s00220-020-03793-2
bibtex: '@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and
Betti Numbers}, volume={378}, DOI={10.1007/s00220-020-03793-2},
number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias},
year={2020}, pages={917–941} }'
chicago: 'Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States
and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020):
917–41. https://doi.org/10.1007/s00220-020-03793-2.'
ieee: 'B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,”
Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020,
doi: 10.1007/s00220-020-03793-2.'
mla: Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti
Numbers.” Communications in Mathematical Physics, vol. 378, no. 2, Springer
Science and Business Media LLC, 2020, pp. 917–41, doi:10.1007/s00220-020-03793-2.
short: B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
date_created: 2022-05-17T12:06:06Z
date_updated: 2022-05-19T10:13:48Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1007/s00220-020-03793-2
intvolume: ' 378'
issue: '2'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 917-941
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
- 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Pollicott-Ruelle Resonant States and Betti Numbers
type: journal_article
user_id: '49178'
volume: 378
year: '2020'
...
---
_id: '53415'
abstract:
- lang: eng
text: "AbstractGiven a closed orientable hyperbolic
manifold of dimension $$\\ne
3$$\r\n
\ \r\n ≠\r\n 3\r\n
\ \r\n
we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic
flow on perpendicular one-forms at zero agrees with the first Betti number of
the manifold. Additionally, we prove that this equality is stable under small
perturbations of the Riemannian metric and simultaneous small perturbations of
the geodesic vector field within the class of contact vector fields. For more
general perturbations we get bounds on the multiplicity of the resonance zero
on all one-forms in terms of the first and zeroth Betti numbers. Furthermore,
we identify for hyperbolic manifolds further resonance spaces whose multiplicities
are given by higher Betti numbers.\r\n"
author:
- first_name: Benjamin
full_name: Küster, Benjamin
last_name: Küster
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications
in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
apa: Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti
Numbers. Communications in Mathematical Physics, 378(2), 917–941.
https://doi.org/10.1007/s00220-020-03793-2
bibtex: '@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and
Betti Numbers}, volume={378}, DOI={10.1007/s00220-020-03793-2},
number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias},
year={2020}, pages={917–941} }'
chicago: 'Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States
and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020):
917–41. https://doi.org/10.1007/s00220-020-03793-2.'
ieee: 'B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,”
Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020,
doi: 10.1007/s00220-020-03793-2.'
mla: Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti
Numbers.” Communications in Mathematical Physics, vol. 378, no. 2, Springer
Science and Business Media LLC, 2020, pp. 917–41, doi:10.1007/s00220-020-03793-2.
short: B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
date_created: 2024-04-11T12:33:03Z
date_updated: 2024-04-11T12:36:53Z
department:
- _id: '548'
doi: 10.1007/s00220-020-03793-2
intvolume: ' 378'
issue: '2'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 917-941
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
- 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Pollicott-Ruelle Resonant States and Betti Numbers
type: journal_article
user_id: '70575'
volume: 378
year: '2020'
...
---
_id: '39414'
article_number: '113502'
author:
- first_name: Baptiste
full_name: Anerot, Baptiste
last_name: Anerot
- first_name: Jacky
full_name: Cresson, Jacky
last_name: Cresson
- first_name: Khaled
full_name: Hariz Belgacem, Khaled
last_name: Hariz Belgacem
- first_name: Frederic
full_name: Pierret, Frederic
last_name: Pierret
citation:
ama: Anerot B, Cresson J, Hariz Belgacem K, Pierret F. Noether’s-type theorems on
time scales. Journal of Mathematical Physics. 2020;61(11). doi:10.1063/1.5140201
apa: Anerot, B., Cresson, J., Hariz Belgacem, K., & Pierret, F. (2020). Noether’s-type
theorems on time scales. Journal of Mathematical Physics, 61(11),
Article 113502. https://doi.org/10.1063/1.5140201
bibtex: '@article{Anerot_Cresson_Hariz Belgacem_Pierret_2020, title={Noether’s-type
theorems on time scales}, volume={61}, DOI={10.1063/1.5140201},
number={11113502}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing},
author={Anerot, Baptiste and Cresson, Jacky and Hariz Belgacem, Khaled and Pierret,
Frederic}, year={2020} }'
chicago: Anerot, Baptiste, Jacky Cresson, Khaled Hariz Belgacem, and Frederic Pierret.
“Noether’s-Type Theorems on Time Scales.” Journal of Mathematical Physics
61, no. 11 (2020). https://doi.org/10.1063/1.5140201.
ieee: 'B. Anerot, J. Cresson, K. Hariz Belgacem, and F. Pierret, “Noether’s-type
theorems on time scales,” Journal of Mathematical Physics, vol. 61, no.
11, Art. no. 113502, 2020, doi: 10.1063/1.5140201.'
mla: Anerot, Baptiste, et al. “Noether’s-Type Theorems on Time Scales.” Journal
of Mathematical Physics, vol. 61, no. 11, 113502, AIP Publishing, 2020, doi:10.1063/1.5140201.
short: B. Anerot, J. Cresson, K. Hariz Belgacem, F. Pierret, Journal of Mathematical
Physics 61 (2020).
date_created: 2023-01-24T10:29:55Z
date_updated: 2023-07-27T16:07:11Z
doi: 10.1063/1.5140201
intvolume: ' 61'
issue: '11'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Journal of Mathematical Physics
publication_identifier:
issn:
- 0022-2488
- 1089-7658
publication_status: published
publisher: AIP Publishing
status: public
title: Noether’s-type theorems on time scales
type: journal_article
user_id: '98857'
volume: 61
year: '2020'
...
---
_id: '39399'
article_number: '113502'
author:
- first_name: Baptiste
full_name: Anerot, Baptiste
last_name: Anerot
- first_name: Jacky
full_name: Cresson, Jacky
last_name: Cresson
- first_name: Khaled
full_name: Hariz Belgacem, Khaled
id: '98857'
last_name: Hariz Belgacem
- first_name: Frederic
full_name: Pierret, Frederic
last_name: Pierret
citation:
ama: Anerot B, Cresson J, Hariz Belgacem K, Pierret F. Noether’s-type theorems on
time scales. Journal of Mathematical Physics. 2020;61(11). doi:10.1063/1.5140201
apa: Anerot, B., Cresson, J., Hariz Belgacem, K., & Pierret, F. (2020). Noether’s-type
theorems on time scales. Journal of Mathematical Physics, 61(11),
Article 113502. https://doi.org/10.1063/1.5140201
bibtex: '@article{Anerot_Cresson_Hariz Belgacem_Pierret_2020, title={Noether’s-type
theorems on time scales}, volume={61}, DOI={10.1063/1.5140201},
number={11113502}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing},
author={Anerot, Baptiste and Cresson, Jacky and Hariz Belgacem, Khaled and Pierret,
Frederic}, year={2020} }'
chicago: Anerot, Baptiste, Jacky Cresson, Khaled Hariz Belgacem, and Frederic Pierret.
“Noether’s-Type Theorems on Time Scales.” Journal of Mathematical Physics
61, no. 11 (2020). https://doi.org/10.1063/1.5140201.
ieee: 'B. Anerot, J. Cresson, K. Hariz Belgacem, and F. Pierret, “Noether’s-type
theorems on time scales,” Journal of Mathematical Physics, vol. 61, no.
11, Art. no. 113502, 2020, doi: 10.1063/1.5140201.'
mla: Anerot, Baptiste, et al. “Noether’s-Type Theorems on Time Scales.” Journal
of Mathematical Physics, vol. 61, no. 11, 113502, AIP Publishing, 2020, doi:10.1063/1.5140201.
short: B. Anerot, J. Cresson, K. Hariz Belgacem, F. Pierret, Journal of Mathematical
Physics 61 (2020).
date_created: 2023-01-24T10:17:50Z
date_updated: 2023-08-01T11:51:51Z
doi: 10.1063/1.5140201
extern: '1'
intvolume: ' 61'
issue: '11'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Journal of Mathematical Physics
publication_identifier:
issn:
- 0022-2488
- 1089-7658
publication_status: published
publisher: AIP Publishing
status: public
title: Noether’s-type theorems on time scales
type: journal_article
user_id: '98857'
volume: 61
year: '2020'
...
---
_id: '31268'
author:
- first_name: Frédéric
full_name: Faure, Frédéric
last_name: Faure
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Faure F, Weich T. Global Normal Form and Asymptotic Spectral Gap for Open Partially
Expanding Maps. Communications in Mathematical Physics. 2017;356(3):755-822.
doi:10.1007/s00220-017-3000-0
apa: Faure, F., & Weich, T. (2017). Global Normal Form and Asymptotic Spectral
Gap for Open Partially Expanding Maps. Communications in Mathematical Physics,
356(3), 755–822. https://doi.org/10.1007/s00220-017-3000-0
bibtex: '@article{Faure_Weich_2017, title={Global Normal Form and Asymptotic Spectral
Gap for Open Partially Expanding Maps}, volume={356}, DOI={10.1007/s00220-017-3000-0},
number={3}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Faure, Frédéric and Weich, Tobias}, year={2017},
pages={755–822} }'
chicago: 'Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic
Spectral Gap for Open Partially Expanding Maps.” Communications in Mathematical
Physics 356, no. 3 (2017): 755–822. https://doi.org/10.1007/s00220-017-3000-0.'
ieee: 'F. Faure and T. Weich, “Global Normal Form and Asymptotic Spectral Gap for
Open Partially Expanding Maps,” Communications in Mathematical Physics,
vol. 356, no. 3, pp. 755–822, 2017, doi: 10.1007/s00220-017-3000-0.'
mla: Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral
Gap for Open Partially Expanding Maps.” Communications in Mathematical Physics,
vol. 356, no. 3, Springer Science and Business Media LLC, 2017, pp. 755–822, doi:10.1007/s00220-017-3000-0.
short: F. Faure, T. Weich, Communications in Mathematical Physics 356 (2017) 755–822.
date_created: 2022-05-17T12:11:13Z
date_updated: 2022-05-19T10:14:36Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1007/s00220-017-3000-0
external_id:
arxiv:
- '1504.06728'
intvolume: ' 356'
issue: '3'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 755-822
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
- 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding
Maps
type: journal_article
user_id: '49178'
volume: 356
year: '2017'
...
---
_id: '34659'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Blow-up of weak solutions to a chemotaxis system under influence of
an external chemoattractant. Nonlinearity. 2016;29(6):1865-1886. doi:10.1088/0951-7715/29/6/1865
apa: Black, T. (2016). Blow-up of weak solutions to a chemotaxis system under influence
of an external chemoattractant. Nonlinearity, 29(6), 1865–1886.
https://doi.org/10.1088/0951-7715/29/6/1865
bibtex: '@article{Black_2016, title={Blow-up of weak solutions to a chemotaxis system
under influence of an external chemoattractant}, volume={29}, DOI={10.1088/0951-7715/29/6/1865},
number={6}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Black,
Tobias}, year={2016}, pages={1865–1886} }'
chicago: 'Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under
Influence of an External Chemoattractant.” Nonlinearity 29, no. 6 (2016):
1865–86. https://doi.org/10.1088/0951-7715/29/6/1865.'
ieee: 'T. Black, “Blow-up of weak solutions to a chemotaxis system under influence
of an external chemoattractant,” Nonlinearity, vol. 29, no. 6, pp. 1865–1886,
2016, doi: 10.1088/0951-7715/29/6/1865.'
mla: Black, Tobias. “Blow-up of Weak Solutions to a Chemotaxis System under Influence
of an External Chemoattractant.” Nonlinearity, vol. 29, no. 6, IOP Publishing,
2016, pp. 1865–86, doi:10.1088/0951-7715/29/6/1865.
short: T. Black, Nonlinearity 29 (2016) 1865–1886.
date_created: 2022-12-21T09:46:00Z
date_updated: 2022-12-21T10:05:45Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1088/0951-7715/29/6/1865
intvolume: ' 29'
issue: '6'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1865-1886
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Blow-up of weak solutions to a chemotaxis system under influence of an external
chemoattractant
type: journal_article
user_id: '23686'
volume: 29
year: '2016'
...
---
_id: '31274'
author:
- first_name: David
full_name: Borthwick, David
last_name: Borthwick
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Borthwick D, Weich T. Symmetry reduction of holomorphic iterated function schemes
and factorization of Selberg zeta functions. Journal of Spectral Theory.
2016;6(2):267-329. doi:10.4171/jst/125
apa: Borthwick, D., & Weich, T. (2016). Symmetry reduction of holomorphic iterated
function schemes and factorization of Selberg zeta functions. Journal of Spectral
Theory, 6(2), 267–329. https://doi.org/10.4171/jst/125
bibtex: '@article{Borthwick_Weich_2016, title={Symmetry reduction of holomorphic
iterated function schemes and factorization of Selberg zeta functions}, volume={6},
DOI={10.4171/jst/125}, number={2},
journal={Journal of Spectral Theory}, publisher={European Mathematical Society
- EMS - Publishing House GmbH}, author={Borthwick, David and Weich, Tobias}, year={2016},
pages={267–329} }'
chicago: 'Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic
Iterated Function Schemes and Factorization of Selberg Zeta Functions.” Journal
of Spectral Theory 6, no. 2 (2016): 267–329. https://doi.org/10.4171/jst/125.'
ieee: 'D. Borthwick and T. Weich, “Symmetry reduction of holomorphic iterated function
schemes and factorization of Selberg zeta functions,” Journal of Spectral Theory,
vol. 6, no. 2, pp. 267–329, 2016, doi: 10.4171/jst/125.'
mla: Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated
Function Schemes and Factorization of Selberg Zeta Functions.” Journal of Spectral
Theory, vol. 6, no. 2, European Mathematical Society - EMS - Publishing House
GmbH, 2016, pp. 267–329, doi:10.4171/jst/125.
short: D. Borthwick, T. Weich, Journal of Spectral Theory 6 (2016) 267–329.
date_created: 2022-05-17T12:18:22Z
date_updated: 2022-05-19T10:15:17Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.4171/jst/125
external_id:
arxiv:
- '1407.6134 '
intvolume: ' 6'
issue: '2'
keyword:
- Geometry and Topology
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 267-329
publication: Journal of Spectral Theory
publication_identifier:
issn:
- 1664-039X
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Symmetry reduction of holomorphic iterated function schemes and factorization
of Selberg zeta functions
type: journal_article
user_id: '49178'
volume: 6
year: '2016'
...
---
_id: '31289'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.
Annales Henri Poincaré. 2016;18(1):37-52. doi:10.1007/s00023-016-0514-5
apa: Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for
Anosov Flows. Annales Henri Poincaré, 18(1), 37–52. https://doi.org/10.1007/s00023-016-0514-5
bibtex: '@article{Weich_2016, title={On the Support of Pollicott–Ruelle Resonanant
States for Anosov Flows}, volume={18}, DOI={10.1007/s00023-016-0514-5},
number={1}, journal={Annales Henri Poincaré}, publisher={Springer Science and
Business Media LLC}, author={Weich, Tobias}, year={2016}, pages={37–52} }'
chicago: 'Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for
Anosov Flows.” Annales Henri Poincaré 18, no. 1 (2016): 37–52. https://doi.org/10.1007/s00023-016-0514-5.'
ieee: 'T. Weich, “On the Support of Pollicott–Ruelle Resonanant States for Anosov
Flows,” Annales Henri Poincaré, vol. 18, no. 1, pp. 37–52, 2016, doi: 10.1007/s00023-016-0514-5.'
mla: Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov
Flows.” Annales Henri Poincaré, vol. 18, no. 1, Springer Science and Business
Media LLC, 2016, pp. 37–52, doi:10.1007/s00023-016-0514-5.
short: T. Weich, Annales Henri Poincaré 18 (2016) 37–52.
date_created: 2022-05-17T12:53:51Z
date_updated: 2022-05-19T10:15:36Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1007/s00023-016-0514-5
external_id:
arxiv:
- '1511.08338'
intvolume: ' 18'
issue: '1'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 37-52
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
- 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows
type: journal_article
user_id: '49178'
volume: 18
year: '2016'
...
---
_id: '31293'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Weich T. Resonance Chains and Geometric Limits on Schottky Surfaces. Communications
in Mathematical Physics. 2015;337(2):727-765. doi:10.1007/s00220-015-2359-z
apa: Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces.
Communications in Mathematical Physics, 337(2), 727–765. https://doi.org/10.1007/s00220-015-2359-z
bibtex: '@article{Weich_2015, title={Resonance Chains and Geometric Limits on Schottky
Surfaces}, volume={337}, DOI={10.1007/s00220-015-2359-z},
number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Weich, Tobias}, year={2015}, pages={727–765}
}'
chicago: 'Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.”
Communications in Mathematical Physics 337, no. 2 (2015): 727–65. https://doi.org/10.1007/s00220-015-2359-z.'
ieee: 'T. Weich, “Resonance Chains and Geometric Limits on Schottky Surfaces,” Communications
in Mathematical Physics, vol. 337, no. 2, pp. 727–765, 2015, doi: 10.1007/s00220-015-2359-z.'
mla: Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.”
Communications in Mathematical Physics, vol. 337, no. 2, Springer Science
and Business Media LLC, 2015, pp. 727–65, doi:10.1007/s00220-015-2359-z.
short: T. Weich, Communications in Mathematical Physics 337 (2015) 727–765.
date_created: 2022-05-17T12:56:21Z
date_updated: 2022-05-19T10:16:21Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1007/s00220-015-2359-z
external_id:
arxiv:
- '1403.7419 '
intvolume: ' 337'
issue: '2'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 727-765
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
- 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Resonance Chains and Geometric Limits on Schottky Surfaces
type: journal_article
user_id: '49178'
volume: 337
year: '2015'
...
---
_id: '31294'
article_number: '101501'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Weich T. Equivariant spectral asymptotics forh-pseudodifferential operators.
Journal of Mathematical Physics. 2014;55(10). doi:10.1063/1.4896698
apa: Weich, T. (2014). Equivariant spectral asymptotics forh-pseudodifferential
operators. Journal of Mathematical Physics, 55(10), Article 101501.
https://doi.org/10.1063/1.4896698
bibtex: '@article{Weich_2014, title={Equivariant spectral asymptotics forh-pseudodifferential
operators}, volume={55}, DOI={10.1063/1.4896698},
number={10101501}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing},
author={Weich, Tobias}, year={2014} }'
chicago: Weich, Tobias. “Equivariant Spectral Asymptotics forh-Pseudodifferential
Operators.” Journal of Mathematical Physics 55, no. 10 (2014). https://doi.org/10.1063/1.4896698.
ieee: 'T. Weich, “Equivariant spectral asymptotics forh-pseudodifferential
operators,” Journal of Mathematical Physics, vol. 55, no. 10, Art. no.
101501, 2014, doi: 10.1063/1.4896698.'
mla: Weich, Tobias. “Equivariant Spectral Asymptotics forh-Pseudodifferential
Operators.” Journal of Mathematical Physics, vol. 55, no. 10, 101501, AIP
Publishing, 2014, doi:10.1063/1.4896698.
short: T. Weich, Journal of Mathematical Physics 55 (2014).
date_created: 2022-05-17T12:57:00Z
date_updated: 2022-05-19T10:16:38Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1063/1.4896698
external_id:
arxiv:
- '1311.2436 '
intvolume: ' 55'
issue: '10'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
publication: Journal of Mathematical Physics
publication_identifier:
issn:
- 0022-2488
- 1089-7658
publication_status: published
publisher: AIP Publishing
status: public
title: Equivariant spectral asymptotics forh-pseudodifferential operators
type: journal_article
user_id: '49178'
volume: 55
year: '2014'
...
---
_id: '31296'
author:
- first_name: Sonja
full_name: Barkhofen, Sonja
id: '48188'
last_name: Barkhofen
- first_name: F
full_name: Faure, F
last_name: Faure
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized
zeta functions and clustering of the length spectrum. Nonlinearity. 2014;27(8):1829-1858.
doi:10.1088/0951-7715/27/8/1829
apa: Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open
systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity,
27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829
bibtex: '@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems,
generalized zeta functions and clustering of the length spectrum}, volume={27},
DOI={10.1088/0951-7715/27/8/1829},
number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen,
Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }'
chicago: 'Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open
Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” Nonlinearity
27, no. 8 (2014): 1829–58. https://doi.org/10.1088/0951-7715/27/8/1829.'
ieee: 'S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems,
generalized zeta functions and clustering of the length spectrum,” Nonlinearity,
vol. 27, no. 8, pp. 1829–1858, 2014, doi: 10.1088/0951-7715/27/8/1829.'
mla: Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta
Functions and Clustering of the Length Spectrum.” Nonlinearity, vol. 27,
no. 8, IOP Publishing, 2014, pp. 1829–58, doi:10.1088/0951-7715/27/8/1829.
short: S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.
date_created: 2022-05-17T12:58:25Z
date_updated: 2023-01-19T08:56:12Z
department:
- _id: '10'
- _id: '548'
- _id: '288'
doi: 10.1088/0951-7715/27/8/1829
external_id:
arxiv:
- '1403.7771 '
intvolume: ' 27'
issue: '8'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1829-1858
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
publisher: IOP Publishing
status: public
title: Resonance chains in open systems, generalized zeta functions and clustering
of the length spectrum
type: journal_article
user_id: '48188'
volume: 27
year: '2014'
...