---
_id: '64289'
abstract:
- lang: eng
text: "Abstract\r\n Motivated by asymptotic
symmetry groups in general relativity, we consider projective unitary representations
\r\n \r\n $$\\overline{\\rho
}$$\r\n \r\n
\ \r\n ρ\r\n ¯\r\n
\ \r\n \r\n \r\n
\ of the Lie group \r\n
\ \r\n $${{\\,\\textrm{Diff}\\,}}_c(M)$$\r\n
\ \r\n
\ \r\n \r\n \r\n
\ \r\n Diff\r\n
\ \r\n \r\n
\ c\r\n \r\n
\ \r\n (\r\n
\ M\r\n )\r\n
\ \r\n \r\n \r\n
\ \r\n of compactly
supported diffeomorphisms of a smooth manifold M that
satisfy a so-called generalized positive energy condition. In particular, this
captures representations that are in a suitable sense compatible with a KMS state
on the von Neumann algebra generated by \r\n \r\n
\ $$\\overline{\\rho }$$\r\n \r\n \r\n
\ ρ\r\n ¯\r\n
\ \r\n \r\n \r\n
\ . We show that if M
is connected and \r\n \r\n
\ $$\\dim (M) > 1$$\r\n \r\n \r\n
\ dim\r\n (\r\n
\ M\r\n )\r\n
\ >\r\n 1\r\n
\ \r\n \r\n \r\n
\ , then any such representation is necessarily
trivial on the identity component \r\n \r\n
\ $${{\\,\\textrm{Diff}\\,}}_c(M)_0$$\r\n
\ \r\n
\ \r\n \r\n \r\n
\ \r\n Diff\r\n
\ \r\n \r\n
\ c\r\n \r\n
\ \r\n \r\n (\r\n
\ M\r\n )\r\n
\ \r\n 0\r\n
\ \r\n \r\n \r\n
\ \r\n . As an
intermediate step towards this result, we determine the continuous second Lie
algebra cohomology \r\n \r\n
\ $$H^2_\\textrm{ct}(\\mathcal {X}_c(M), \\mathbb
{R})$$\r\n \r\n
\ \r\n \r\n H\r\n
\ ct\r\n 2\r\n
\ \r\n \r\n (\r\n
\ \r\n X\r\n
\ c\r\n \r\n
\ \r\n (\r\n
\ M\r\n )\r\n
\ \r\n ,\r\n
\ R\r\n )\r\n
\ \r\n \r\n \r\n
\ \r\n of the
Lie algebra of compactly supported vector fields. This is subtly different from
Gelfand–Fuks cohomology in view of the compact support condition."
article_number: '45'
author:
- first_name: Bas
full_name: Janssens, Bas
last_name: Janssens
- first_name: Milan
full_name: Niestijl, Milan
last_name: Niestijl
citation:
ama: Janssens B, Niestijl M. Generalized Positive Energy Representations of the
Group of Compactly Supported Diffeomorphisms. Communications in Mathematical
Physics. 2025;406(2). doi:10.1007/s00220-024-05226-w
apa: Janssens, B., & Niestijl, M. (2025). Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms. Communications in Mathematical
Physics, 406(2), Article 45. https://doi.org/10.1007/s00220-024-05226-w
bibtex: '@article{Janssens_Niestijl_2025, title={Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms}, volume={406}, DOI={10.1007/s00220-024-05226-w},
number={245}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Janssens, Bas and Niestijl, Milan}, year={2025}
}'
chicago: Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms.” Communications in Mathematical
Physics 406, no. 2 (2025). https://doi.org/10.1007/s00220-024-05226-w.
ieee: 'B. Janssens and M. Niestijl, “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms,” Communications in Mathematical
Physics, vol. 406, no. 2, Art. no. 45, 2025, doi: 10.1007/s00220-024-05226-w.'
mla: Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms.” Communications in Mathematical
Physics, vol. 406, no. 2, 45, Springer Science and Business Media LLC, 2025,
doi:10.1007/s00220-024-05226-w.
short: B. Janssens, M. Niestijl, Communications in Mathematical Physics 406 (2025).
date_created: 2026-02-20T09:33:11Z
date_updated: 2026-02-20T09:41:41Z
department:
- _id: '93'
doi: 10.1007/s00220-024-05226-w
intvolume: ' 406'
issue: '2'
language:
- iso: eng
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: Generalized Positive Energy Representations of the Group of Compactly Supported
Diffeomorphisms
type: journal_article
user_id: '104095'
volume: 406
year: '2025'
...
---
_id: '66291'
abstract:
- lang: eng
text: "Abstract\r\n In 1993 Keski-Vakkuri
and Wen introduced a model for the fractional quantum Hall effect based on multilayer
two-dimensional electron systems satisfying quasi-periodic boundary conditions.
Such a model is essentially specified by a choice of a complex torus E
and a symmetric positively definite matrix K of size
g with non-negative integral coefficients, satisfying
some further constraints. The space of the corresponding wave functions turns
out to be \r\n \r\n $$\\delta
$$\r\n \r\n
\ δ\r\n \r\n \r\n
\ -dimensional, where \r\n
\ \r\n $$\\delta
$$\r\n \r\n
\ δ\r\n \r\n \r\n
\ is the determinant of K.
We construct a hermitian holomorphic bundle of rank \r\n
\ \r\n $$\\delta
$$\r\n \r\n
\ δ\r\n \r\n \r\n
\ on the abelian variety A
(which is the g-fold product of the torus E
with itself), whose fibres can be identified with the space of wave function of
Keski-Vakkuri and Wen. A rigorous construction of this “magnetic bundle” involves
the technique of Fourier–Mukai transforms on abelian varieties. The constructed
bundle turns out to be simple and semi-homogeneous and it can be equipped with
two different (and natural) hermitian metrics: the one coming from the center-of-mass
dynamics and the one coming from the Hilbert space of the underlying many-body
system. We prove that the canonical Bott–Chern connection of the first hermitian
metric is always projectively flat and give sufficient conditions for this property
for the second hermitian metric."
article_number: '97'
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
- first_name: Semyon
full_name: Klevtsov, Semyon
last_name: Klevtsov
citation:
ama: Burban I, Klevtsov S. Algebraic Geometry of the Multilayer Model of the Fractional
Quantum Hall Effect on a Torus. Communications in Mathematical Physics.
2025;406(5). doi:10.1007/s00220-025-05267-9
apa: Burban, I., & Klevtsov, S. (2025). Algebraic Geometry of the Multilayer
Model of the Fractional Quantum Hall Effect on a Torus. Communications in Mathematical
Physics, 406(5), Article 97. https://doi.org/10.1007/s00220-025-05267-9
bibtex: '@article{Burban_Klevtsov_2025, title={Algebraic Geometry of the Multilayer
Model of the Fractional Quantum Hall Effect on a Torus}, volume={406}, DOI={10.1007/s00220-025-05267-9},
number={597}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Burban, Igor and Klevtsov, Semyon}, year={2025}
}'
chicago: Burban, Igor, and Semyon Klevtsov. “Algebraic Geometry of the Multilayer
Model of the Fractional Quantum Hall Effect on a Torus.” Communications in
Mathematical Physics 406, no. 5 (2025). https://doi.org/10.1007/s00220-025-05267-9.
ieee: 'I. Burban and S. Klevtsov, “Algebraic Geometry of the Multilayer Model of
the Fractional Quantum Hall Effect on a Torus,” Communications in Mathematical
Physics, vol. 406, no. 5, Art. no. 97, 2025, doi: 10.1007/s00220-025-05267-9.'
mla: Burban, Igor, and Semyon Klevtsov. “Algebraic Geometry of the Multilayer Model
of the Fractional Quantum Hall Effect on a Torus.” Communications in Mathematical
Physics, vol. 406, no. 5, 97, Springer Science and Business Media LLC, 2025,
doi:10.1007/s00220-025-05267-9.
short: I. Burban, S. Klevtsov, Communications in Mathematical Physics 406 (2025).
date_created: 2026-07-07T06:18:00Z
date_updated: 2026-07-07T06:18:58Z
doi: 10.1007/s00220-025-05267-9
intvolume: ' 406'
issue: '5'
language:
- iso: eng
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: Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect
on a Torus
type: journal_article
user_id: '72064'
volume: 406
year: '2025'
...
---
_id: '43465'
abstract:
- lang: eng
text: We show the existence of ground states in the massless spin boson model without
any infrared regularization. Our proof is non-perturbative and relies on a compactness
argument. It works for arbitrary values of the coupling constant under the hypothesis
that the second derivative of the ground state energy as a function of a constant
external magnetic field is bounded.
article_type: original
author:
- first_name: David
full_name: Hasler, David
last_name: Hasler
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Oliver
full_name: Siebert, Oliver
last_name: Siebert
citation:
ama: Hasler D, Hinrichs B, Siebert O. On Existence of Ground States in the Spin
Boson Model. Communications in Mathematical Physics. 2021;388(1):419-433.
doi:10.1007/s00220-021-04185-w
apa: Hasler, D., Hinrichs, B., & Siebert, O. (2021). On Existence of Ground
States in the Spin Boson Model. Communications in Mathematical Physics,
388(1), 419–433. https://doi.org/10.1007/s00220-021-04185-w
bibtex: '@article{Hasler_Hinrichs_Siebert_2021, title={On Existence of Ground States
in the Spin Boson Model}, volume={388}, DOI={10.1007/s00220-021-04185-w},
number={1}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Hasler, David and Hinrichs, Benjamin
and Siebert, Oliver}, year={2021}, pages={419–433} }'
chicago: 'Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “On Existence of
Ground States in the Spin Boson Model.” Communications in Mathematical Physics
388, no. 1 (2021): 419–33. https://doi.org/10.1007/s00220-021-04185-w.'
ieee: 'D. Hasler, B. Hinrichs, and O. Siebert, “On Existence of Ground States in
the Spin Boson Model,” Communications in Mathematical Physics, vol. 388,
no. 1, pp. 419–433, 2021, doi: 10.1007/s00220-021-04185-w.'
mla: Hasler, David, et al. “On Existence of Ground States in the Spin Boson Model.”
Communications in Mathematical Physics, vol. 388, no. 1, Springer Science
and Business Media LLC, 2021, pp. 419–33, doi:10.1007/s00220-021-04185-w.
short: D. Hasler, B. Hinrichs, O. Siebert, Communications in Mathematical Physics
388 (2021) 419–433.
date_created: 2023-04-13T18:07:22Z
date_updated: 2026-01-16T09:02:44Z
doi: 10.1007/s00220-021-04185-w
extern: '1'
external_id:
arxiv:
- '2102.13373'
intvolume: ' 388'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
page: 419-433
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: On Existence of Ground States in the Spin Boson Model
type: journal_article
user_id: '99427'
volume: 388
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: '63354'
author:
- first_name: Philippe
full_name: Souplet, Philippe
last_name: Souplet
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Souplet P, Winkler M. Blow-up Profiles for the Parabolic–Elliptic Keller–Segel
System in Dimensions
$${n\geq 3}$$
n ≥ 3. Communications
in Mathematical Physics. 2018;367(2):665-681. doi:10.1007/s00220-018-3238-1
apa: Souplet, P., & Winkler, M. (2018). Blow-up Profiles for the Parabolic–Elliptic
Keller–Segel System in Dimensions
$${n\geq 3}$$
n ≥
3. Communications in Mathematical Physics, 367(2), 665–681. https://doi.org/10.1007/s00220-018-3238-1
bibtex: '@article{Souplet_Winkler_2018, title={Blow-up Profiles for the Parabolic–Elliptic
Keller–Segel System in Dimensions
$${n\geq 3}$$
n ≥
3}, volume={367}, DOI={10.1007/s00220-018-3238-1},
number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Souplet, Philippe and Winkler, Michael},
year={2018}, pages={665–681} }'
chicago: 'Souplet, Philippe, and Michael Winkler. “Blow-up Profiles for the Parabolic–Elliptic
Keller–Segel System in Dimensions
$${n\geq 3}$$
n ≥
3.” Communications in Mathematical Physics 367, no. 2 (2018): 665–81. https://doi.org/10.1007/s00220-018-3238-1.'
ieee: 'P. Souplet and M. Winkler, “Blow-up Profiles for the Parabolic–Elliptic Keller–Segel
System in Dimensions
$${n\geq 3}$$
n ≥ 3,” Communications
in Mathematical Physics, vol. 367, no. 2, pp. 665–681, 2018, doi: 10.1007/s00220-018-3238-1.'
mla: Souplet, Philippe, and Michael Winkler. “Blow-up Profiles for the Parabolic–Elliptic
Keller–Segel System in Dimensions
$${n\geq 3}$$
n ≥
3.” Communications in Mathematical Physics, vol. 367, no. 2, Springer Science
and Business Media LLC, 2018, pp. 665–81, doi:10.1007/s00220-018-3238-1.
short: P. Souplet, M. Winkler, Communications in Mathematical Physics 367 (2018)
665–681.
date_created: 2025-12-19T10:52:55Z
date_updated: 2025-12-19T10:53:03Z
doi: 10.1007/s00220-018-3238-1
intvolume: ' 367'
issue: '2'
language:
- iso: eng
page: 665-681
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: Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq
3}$$ n ≥ 3
type: journal_article
user_id: '31496'
volume: 367
year: '2018'
...
---
_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: '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: '54821'
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Rösler M. Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators.
Communications in Mathematical Physics. 1998;192(3):519-542. doi:10.1007/s002200050307
apa: Rösler, M. (1998). Generalized Hermite Polynomials and the Heat Equation for
Dunkl Operators. Communications in Mathematical Physics, 192(3),
519–542. https://doi.org/10.1007/s002200050307
bibtex: '@article{Rösler_1998, title={Generalized Hermite Polynomials and the Heat
Equation for Dunkl Operators}, volume={192}, DOI={10.1007/s002200050307},
number={3}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Rösler, Margit}, year={1998}, pages={519–542}
}'
chicago: 'Rösler, Margit. “Generalized Hermite Polynomials and the Heat Equation
for Dunkl Operators.” Communications in Mathematical Physics 192, no. 3
(1998): 519–42. https://doi.org/10.1007/s002200050307.'
ieee: 'M. Rösler, “Generalized Hermite Polynomials and the Heat Equation for Dunkl
Operators,” Communications in Mathematical Physics, vol. 192, no. 3, pp.
519–542, 1998, doi: 10.1007/s002200050307.'
mla: Rösler, Margit. “Generalized Hermite Polynomials and the Heat Equation for
Dunkl Operators.” Communications in Mathematical Physics, vol. 192, no.
3, Springer Science and Business Media LLC, 1998, pp. 519–42, doi:10.1007/s002200050307.
short: M. Rösler, Communications in Mathematical Physics 192 (1998) 519–542.
date_created: 2024-06-19T08:53:38Z
date_updated: 2024-07-09T09:09:25Z
doi: 10.1007/s002200050307
intvolume: ' 192'
issue: '3'
language:
- iso: eng
page: 519-542
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: Generalized Hermite Polynomials and the Heat Equation for Dunkl Operators
type: journal_article
user_id: '82981'
volume: 192
year: '1998'
...