---
_id: '63642'
abstract:
- lang: eng
text: We prove absence of ground states in the infrared-divergent spin boson model
at large coupling. Our key argument reduces the proof to verifying long range
order in the dual one-dimensional continuum Ising model, i.e., to showing that
the respective two point function is lower bounded by a strictly positive constant.
We can then use known results from percolation theory to establish long range
order at large coupling. Combined with the known existence of ground states at
small coupling, our result proves that the spin boson model undergoes a phase
transition with respect to the coupling strength. We also present an expansion
for the vacuum overlap of the spin boson ground state in terms of the Ising $n$-point
functions, which implies that the phase transition is unique, i.e., that there
is a critical coupling constant below which a ground state exists and above which
none can exist.
author:
- first_name: Volker
full_name: Betz, Volker
last_name: Betz
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Mino Nicola
full_name: Kraft, Mino Nicola
last_name: Kraft
- first_name: Steffen
full_name: Polzer, Steffen
last_name: Polzer
citation:
ama: Betz V, Hinrichs B, Kraft MN, Polzer S. On the Ising Phase Transition in the
Infrared-Divergent Spin Boson Model. arXiv:250119362. Published online
2025.
apa: Betz, V., Hinrichs, B., Kraft, M. N., & Polzer, S. (2025). On the Ising
Phase Transition in the Infrared-Divergent Spin Boson Model. In arXiv:2501.19362.
bibtex: '@article{Betz_Hinrichs_Kraft_Polzer_2025, title={On the Ising Phase Transition
in the Infrared-Divergent Spin Boson Model}, journal={arXiv:2501.19362}, author={Betz,
Volker and Hinrichs, Benjamin and Kraft, Mino Nicola and Polzer, Steffen}, year={2025}
}'
chicago: Betz, Volker, Benjamin Hinrichs, Mino Nicola Kraft, and Steffen Polzer.
“On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” ArXiv:2501.19362,
2025.
ieee: V. Betz, B. Hinrichs, M. N. Kraft, and S. Polzer, “On the Ising Phase Transition
in the Infrared-Divergent Spin Boson Model,” arXiv:2501.19362. 2025.
mla: Betz, Volker, et al. “On the Ising Phase Transition in the Infrared-Divergent
Spin Boson Model.” ArXiv:2501.19362, 2025.
short: V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025).
date_created: 2026-01-16T08:56:45Z
date_updated: 2026-01-16T08:57:21Z
department:
- _id: '799'
external_id:
arxiv:
- '2501.19362'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2501.19362
status: public
title: On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63644'
abstract:
- lang: eng
text: We study the ultraviolet problem for models of a finite-dimensional quantum
mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin
boson model or its rotating-wave approximation. If the state change of the system
upon emission or absorption of a boson is either given by a normal matrix or by
a 2-nilpotent one, which is the case for the previously named examples, we prove
an optimal renormalization result. We complement it, by proving the norm resolvent
convergence of appropriately regularized models to the renormalized one. Our method
consists of a dressing transformation argument in the normal case and an appropriate
interior boundary condition for the 2-nilpotent case.
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Jonas
full_name: Lampart, Jonas
last_name: Lampart
- first_name: Javier
full_name: Valentín Martín, Javier
last_name: Valentín Martín
citation:
ama: Hinrichs B, Lampart J, Valentín Martín J. Ultraviolet Renormalization of Spin
Boson Models I. Normal and 2-Nilpotent Interactions. arXiv:250204876. Published
online 2025.
apa: Hinrichs, B., Lampart, J., & Valentín Martín, J. (2025). Ultraviolet Renormalization
of Spin Boson Models I. Normal and 2-Nilpotent Interactions. In arXiv:2502.04876.
bibtex: '@article{Hinrichs_Lampart_Valentín Martín_2025, title={Ultraviolet Renormalization
of Spin Boson Models I. Normal and 2-Nilpotent Interactions}, journal={arXiv:2502.04876},
author={Hinrichs, Benjamin and Lampart, Jonas and Valentín Martín, Javier}, year={2025}
}'
chicago: Hinrichs, Benjamin, Jonas Lampart, and Javier Valentín Martín. “Ultraviolet
Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.”
ArXiv:2502.04876, 2025.
ieee: B. Hinrichs, J. Lampart, and J. Valentín Martín, “Ultraviolet Renormalization
of Spin Boson Models I. Normal and 2-Nilpotent Interactions,” arXiv:2502.04876.
2025.
mla: Hinrichs, Benjamin, et al. “Ultraviolet Renormalization of Spin Boson Models
I. Normal and 2-Nilpotent Interactions.” ArXiv:2502.04876, 2025.
short: B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025).
date_created: 2026-01-16T08:58:25Z
date_updated: 2026-01-16T08:59:03Z
department:
- _id: '799'
external_id:
arxiv:
- '2502.04876'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2502.04876
status: public
title: Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent
Interactions
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63643'
abstract:
- lang: eng
text: In this short communication we discuss the ultraviolet renormalization of
the van Hove-Miyatake scalar field, generated by any distributional source. An
abstract algebraic approach, based on the study of a special class of ground states
of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization
that makes use of a non-unitary dressing transformation. The two approaches are
proved to yield equivalent results.
author:
- first_name: Marco
full_name: Falconi, Marco
last_name: Falconi
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
citation:
ama: 'Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake
Model: an Algebraic and Hamiltonian Approach. arXiv:250519977. Published
online 2025.'
apa: 'Falconi, M., & Hinrichs, B. (2025). Ultraviolet Renormalization of the
van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In arXiv:2505.19977.'
bibtex: '@article{Falconi_Hinrichs_2025, title={Ultraviolet Renormalization of the
van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach}, journal={arXiv:2505.19977},
author={Falconi, Marco and Hinrichs, Benjamin}, year={2025} }'
chicago: 'Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of
the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977,
2025.'
ieee: 'M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake
Model: an Algebraic and Hamiltonian Approach,” arXiv:2505.19977. 2025.'
mla: 'Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the
van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977,
2025.'
short: M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).
date_created: 2026-01-16T08:57:34Z
date_updated: 2026-01-16T08:58:12Z
department:
- _id: '799'
external_id:
arxiv:
- '2505.19977'
language:
- iso: eng
publication: arXiv:2505.19977
status: public
title: 'Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and
Hamiltonian Approach'
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63645'
abstract:
- lang: eng
text: In this paper we construct the non-trivial, renormalized Hamiltonian for a
class of spin-boson models with supercritical form factors, including the one
describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed
through both a self-energy and mass renormalization, in the so-called Hamiltonian
formalism of constructive quantum field theory, implemented by a non-unitary dressing
transformation. This solves the problem of triviality for unitarily-renormalized
supercritical spin-boson models.
author:
- first_name: Marco
full_name: Falconi, Marco
last_name: Falconi
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Javier
full_name: Valentín Martín, Javier
last_name: Valentín Martín
citation:
ama: Falconi M, Hinrichs B, Valentín Martín J. Non-Trivial Renormalization of Spin-Boson
Models with Supercritical Form Factors. arXiv:250800805. Published online
2025.
apa: Falconi, M., Hinrichs, B., & Valentín Martín, J. (2025). Non-Trivial Renormalization
of Spin-Boson Models with Supercritical Form Factors. In arXiv:2508.00805.
bibtex: '@article{Falconi_Hinrichs_Valentín Martín_2025, title={Non-Trivial Renormalization
of Spin-Boson Models with Supercritical Form Factors}, journal={arXiv:2508.00805},
author={Falconi, Marco and Hinrichs, Benjamin and Valentín Martín, Javier}, year={2025}
}'
chicago: Falconi, Marco, Benjamin Hinrichs, and Javier Valentín Martín. “Non-Trivial
Renormalization of Spin-Boson Models with Supercritical Form Factors.” ArXiv:2508.00805,
2025.
ieee: M. Falconi, B. Hinrichs, and J. Valentín Martín, “Non-Trivial Renormalization
of Spin-Boson Models with Supercritical Form Factors,” arXiv:2508.00805.
2025.
mla: Falconi, Marco, et al. “Non-Trivial Renormalization of Spin-Boson Models with
Supercritical Form Factors.” ArXiv:2508.00805, 2025.
short: M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025).
date_created: 2026-01-16T08:59:11Z
date_updated: 2026-01-16T09:01:45Z
department:
- _id: '799'
external_id:
arxiv:
- '2508.00805'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2508.00805
status: public
title: Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63646'
abstract:
- lang: eng
text: We study the behavior of a probability measure near the bottom of its support
in terms of time averaged quotients of its Laplace transform. We discuss how our
results are connected to both rank-one perturbation theory as well as renewal
theory. We further apply our results in order to derive criteria for the existence
and non-existence of ground states for a finite dimensional quantum system coupled
to a bosonic field.
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Steffen
full_name: Polzer, Steffen
last_name: Polzer
citation:
ama: Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With
Applications to Ground State Problems. arXiv:251102867. Published online
2025.
apa: Hinrichs, B., & Polzer, S. (2025). Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems. In arXiv:2511.02867.
bibtex: '@article{Hinrichs_Polzer_2025, title={Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems}, journal={arXiv:2511.02867},
author={Hinrichs, Benjamin and Polzer, Steffen}, year={2025} }'
chicago: Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems.” ArXiv:2511.02867,
2025.
ieee: B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform.
With Applications to Ground State Problems,” arXiv:2511.02867. 2025.
mla: Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems.” ArXiv:2511.02867,
2025.
short: B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).
date_created: 2026-01-16T08:59:45Z
date_updated: 2026-01-16T09:01:02Z
department:
- _id: '799'
external_id:
arxiv:
- '2511.02867'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2511.02867
status: public
title: Wiener-Type Theorems for the Laplace Transform. With Applications to Ground
State Problems
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63647'
abstract:
- lang: eng
text: We study the convergence rate of translation-invariant discrete-time quantum
dynamics on a one-dimensional lattice. We prove that the cumulative distributions
function of the ballistically scaled position $\mathbb X(n)/{n}$ after $n$ steps
converges at a rate of $n^{-1/3}$ in the Lévy metric as $n\to\infty$. In the special
case of step-coin quantum walks with two-dimensional coin space, we recover the
same convergence rate for the supremum distance and prove optimality.
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Pascal
full_name: Mittenbühler, Pascal
last_name: Mittenbühler
citation:
ama: Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant
1D Quantum Walks. arXiv:251113409. Published online 2025.
apa: Hinrichs, B., & Mittenbühler, P. (2025). On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks. In arXiv:2511.13409.
bibtex: '@article{Hinrichs_Mittenbühler_2025, title={On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks}, journal={arXiv:2511.13409}, author={Hinrichs,
Benjamin and Mittenbühler, Pascal}, year={2025} }'
chicago: Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks.” ArXiv:2511.13409, 2025.
ieee: B. Hinrichs and P. Mittenbühler, “On the Optimal Rate of Convergence for Translation-Invariant
1D Quantum Walks,” arXiv:2511.13409. 2025.
mla: Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks.” ArXiv:2511.13409, 2025.
short: B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025).
date_created: 2026-01-16T08:59:54Z
date_updated: 2026-01-16T09:00:31Z
department:
- _id: '799'
external_id:
arxiv:
- '2511.13409'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2511.13409
status: public
title: On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63649'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
- first_name: Ali
full_name: Suri, Ali
id: '89268'
last_name: Suri
orcid: https://orcid.org/0000-0002-9682-9037
citation:
ama: Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector
measure regularity of Banach–Lie groups. Geometric Mechanics. 2025;01(04):383-437.
doi:10.1142/s2972458925500029
apa: Glöckner, H., Schmeding, A., & Suri, A. (2025). Manifolds of continuous
BV-functions and vector measure regularity of Banach–Lie groups. Geometric
Mechanics, 01(04), 383–437. https://doi.org/10.1142/s2972458925500029
bibtex: '@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions
and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={10.1142/s2972458925500029},
number={04}, journal={Geometric Mechanics}, publisher={World Scientific Pub Co
Pte Ltd}, author={Glöckner, Helge and Schmeding, Alexander and Suri, Ali}, year={2025},
pages={383–437} }'
chicago: 'Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous
BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric
Mechanics 01, no. 04 (2025): 383–437. https://doi.org/10.1142/s2972458925500029.'
ieee: 'H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions
and vector measure regularity of Banach–Lie groups,” Geometric Mechanics,
vol. 01, no. 04, pp. 383–437, 2025, doi: 10.1142/s2972458925500029.'
mla: Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure
Regularity of Banach–Lie Groups.” Geometric Mechanics, vol. 01, no. 04,
World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:10.1142/s2972458925500029.
short: H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437.
date_created: 2026-01-16T10:22:21Z
date_updated: 2026-01-16T10:25:34Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1142/s2972458925500029
intvolume: ' 1'
issue: '04'
language:
- iso: eng
page: 383-437
publication: Geometric Mechanics
publication_identifier:
issn:
- 2972-4589
- 2972-4597
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
quality_controlled: '1'
status: public
title: Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie
groups
type: journal_article
user_id: '178'
volume: '01'
year: '2025'
...
---
_id: '56717'
abstract:
- lang: eng
text: "We establish a multiresolution analysis on the space $\\text{Herm}(n)$ of\r\n$n\\times
n$ complex Hermitian matrices which is adapted to invariance under\r\nconjugation
by the unitary group $U(n).$ The orbits under this action are\r\nparametrized
by the possible ordered spectra of Hermitian matrices, which\r\nconstitute a closed
Weyl chamber of type $A_{n-1}$ in $\\mathbb R^n.$ The space\r\n$L^2(\\text{Herm}(n))^{U(n)}$
of radial, i.e. $U(n)$-invariant $L^2$-functions\r\non $\\text{Herm}(n)$ is naturally
identified with a certain weighted $L^2$-space\r\non this chamber.\r\n The scale
spaces of our multiresolution analysis are obtained by usual dyadic\r\ndilations
as well as generalized translations of a scaling function, where the\r\ngeneralized
translation is a hypergroup translation which respects the radial\r\ngeometry.
We provide a concise criterion to characterize orthonormal wavelet\r\nbases and
show that such bases always exist. They provide natural orthonormal\r\nbases of
the space $L^2(\\text{Herm}(n))^{U(n)}.$\r\n Furthermore, we show how to obtain
radial scaling functions from classical\r\nscaling functions on $\\mathbb R^{n}$.
Finally, generalizations related to the\r\nCartan decompositions for general compact
Lie groups are indicated."
article_type: original
author:
- first_name: Lukas
full_name: Langen, Lukas
id: '73664'
last_name: Langen
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Langen L, Rösler M. Multiresolution analysis on spectra of hermitian matrices.
Indagationes Mathematicae. 2025;36(6):1671-1694.
apa: Langen, L., & Rösler, M. (2025). Multiresolution analysis on spectra of
hermitian matrices. Indagationes Mathematicae, 36(6), 1671–1694.
bibtex: '@article{Langen_Rösler_2025, title={Multiresolution analysis on spectra
of hermitian matrices}, volume={36}, number={6}, journal={Indagationes Mathematicae},
publisher={Elsevier}, author={Langen, Lukas and Rösler, Margit}, year={2025},
pages={1671–1694} }'
chicago: 'Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra
of Hermitian Matrices.” Indagationes Mathematicae 36, no. 6 (2025): 1671–94.'
ieee: L. Langen and M. Rösler, “Multiresolution analysis on spectra of hermitian
matrices,” Indagationes Mathematicae, vol. 36, no. 6, pp. 1671–1694, 2025.
mla: Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian
Matrices.” Indagationes Mathematicae, vol. 36, no. 6, Elsevier, 2025, pp.
1671–94.
short: L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 1671–1694.
date_created: 2024-10-22T09:31:19Z
date_updated: 2026-02-19T14:16:43Z
ddc:
- '510'
department:
- _id: '555'
external_id:
arxiv:
- '2410.10364'
file:
- access_level: closed
content_type: application/pdf
creator: llangen
date_created: 2026-02-19T14:14:39Z
date_updated: 2026-02-19T14:14:39Z
file_id: '64288'
file_name: MSA_hermitsch_published.pdf
file_size: 443262
relation: main_file
success: 1
file_date_updated: 2026-02-19T14:14:39Z
has_accepted_license: '1'
intvolume: ' 36'
issue: '6'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1016/j.indag.2025.03.009
page: 1671-1694
project:
- _id: '357'
name: TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie
publication: Indagationes Mathematicae
publication_status: published
publisher: Elsevier
related_material:
link:
- relation: research_paper
url: https://arxiv.org/abs/2410.10364
status: public
title: Multiresolution analysis on spectra of hermitian matrices
type: journal_article
user_id: '73664'
volume: 36
year: '2025'
...
---
_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: '59258'
article_number: '44'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization.
2025;91(2). doi:10.1007/s00245-025-10243-9
apa: Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization,
91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
bibtex: '@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing
1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91},
DOI={10.1007/s00245-025-10243-9},
number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer
Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }'
chicago: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization
91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.
ieee: 'M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters,” Applied Mathematics & Optimization,
vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.'
mla: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization,
vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
short: M. Winkler, Applied Mathematics & Optimization 91 (2025).
date_created: 2025-04-02T11:23:25Z
date_updated: 2026-02-26T15:59:30Z
department:
- _id: '90'
doi: 10.1007/s00245-025-10243-9
intvolume: ' 91'
issue: '2'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Applied Mathematics & Optimization
publication_identifier:
issn:
- 0095-4616
- 1432-0606
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with
Temperature-Dependent Parameters
type: journal_article
user_id: '11829'
volume: 91
year: '2025'
...
---
_id: '64736'
citation:
ama: Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal
of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.
Vol 35.; 2025.
apa: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the
occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, &
G. Olafsson (Eds.), J. Lie Theory (Vol. 35, Issue 4).
bibtex: '@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal
of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday},
volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }'
chicago: Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds.
Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the
Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025.
ieee: J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue
of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his
60th birthday, vol. 35, no. 4. 2025.
mla: Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated
to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” J. Lie Theory,
vol. 35, no. 4, 2025.
short: J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal
of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday,
2025.
date_created: 2026-02-26T17:42:01Z
date_updated: 2026-02-26T17:51:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
editor:
- first_name: Jan
full_name: Frahm, Jan
last_name: Frahm
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Gestur
full_name: Olafsson, Gestur
last_name: Olafsson
intvolume: ' 35'
issue: '4'
language:
- iso: eng
publication: J. Lie Theory
quality_controlled: '1'
status: public
title: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the
occasion of his 60th birthday
type: journal_editor
user_id: '178'
volume: 35
year: '2025'
...
---
_id: '64770'
author:
- first_name: Matthieu
full_name: Pinaud, Matthieu
last_name: Pinaud
citation:
ama: Pinaud M. Manifold of Mappings and Regularity Properties of Half-Lie Groups.;
2025. doi:10.17619/UNIPB/1-2211
apa: Pinaud, M. (2025). Manifold of mappings and regularity properties of half-Lie
groups. https://doi.org/10.17619/UNIPB/1-2211
bibtex: '@book{Pinaud_2025, title={Manifold of mappings and regularity properties
of half-Lie groups}, DOI={10.17619/UNIPB/1-2211},
author={Pinaud, Matthieu}, year={2025} }'
chicago: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of
Half-Lie Groups, 2025. https://doi.org/10.17619/UNIPB/1-2211.
ieee: M. Pinaud, Manifold of mappings and regularity properties of half-Lie groups.
2025.
mla: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of Half-Lie
Groups. 2025, doi:10.17619/UNIPB/1-2211.
short: M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups,
2025.
date_created: 2026-02-26T21:58:22Z
date_updated: 2026-02-26T21:58:36Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.17619/UNIPB/1-2211
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221
oa: '1'
status: public
supervisor:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
title: Manifold of mappings and regularity properties of half-Lie groups
type: dissertation
user_id: '178'
year: '2025'
...
---
_id: '34807'
abstract:
- lang: eng
text: "Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of
all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak
g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent
real-analytic vector fields on $M$ which are integrable\r\nfunctions in time,
and their dependence on the time-dependent vector field.\r\nNotably, we show that
the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak
g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function
on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several
new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups,
for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of
other classes of groups.\r\nMoreover, we obtain new results concerning the continuity
and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex
direct\r\nlimits."
article_number: '113690'
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear
Analysis. 2025;252. doi:10.1016/j.na.2024.113690
apa: Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular.
Nonlinear Analysis, 252, Article 113690. https://doi.org/10.1016/j.na.2024.113690
bibtex: '@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms
are L^1-regular}, volume={252}, DOI={10.1016/j.na.2024.113690},
number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025}
}'
chicago: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.”
Nonlinear Analysis 252 (2025). https://doi.org/10.1016/j.na.2024.113690.
ieee: 'H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,”
Nonlinear Analysis, vol. 252, Art. no. 113690, 2025, doi: 10.1016/j.na.2024.113690.'
mla: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.”
Nonlinear Analysis, vol. 252, 113690, 2025, doi:10.1016/j.na.2024.113690.
short: H. Glöckner, Nonlinear Analysis 252 (2025).
date_created: 2022-12-22T07:49:32Z
date_updated: 2024-12-24T16:58:38Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.na.2024.113690
intvolume: ' 252'
language:
- iso: eng
publication: Nonlinear Analysis
quality_controlled: '1'
status: public
title: Lie groups of real analytic diffeomorphisms are L^1-regular
type: journal_article
user_id: '178'
volume: 252
year: '2025'
...
---
_id: '60205'
article_number: '113555'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: 'Black T. Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system.
Journal of Differential Equations. 2025;443. doi:10.1016/j.jde.2025.113555'
apa: 'Black, T. (2025). Very mild diffusion enhancement and singular sensitivity:
Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system. Journal of Differential Equations, 443, Article 113555.
https://doi.org/10.1016/j.jde.2025.113555'
bibtex: '@article{Black_2025, title={Very mild diffusion enhancement and singular
sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system}, volume={443}, DOI={10.1016/j.jde.2025.113555},
number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier
BV}, author={Black, Tobias}, year={2025} }'
chicago: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations 443 (2025). https://doi.org/10.1016/j.jde.2025.113555.'
ieee: 'T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,”
Journal of Differential Equations, vol. 443, Art. no. 113555, 2025, doi:
10.1016/j.jde.2025.113555.'
mla: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations, vol. 443, 113555, Elsevier
BV, 2025, doi:10.1016/j.jde.2025.113555.'
short: T. Black, Journal of Differential Equations 443 (2025).
date_created: 2025-06-13T11:12:23Z
date_updated: 2025-06-13T11:13:22Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jde.2025.113555
intvolume: ' 443'
language:
- iso: eng
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: 'Very mild diffusion enhancement and singular sensitivity: Existence of bounded
weak solutions in a two-dimensional chemotaxis-Navier–Stokes system'
type: journal_article
user_id: '23686'
volume: 443
year: '2025'
...
---
_id: '54837'
author:
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves
in piezoelectric materials: Global large-data solutions. Mathematical Models
and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447'
apa: 'Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation
by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical
Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447'
bibtex: '@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation
by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35},
DOI={10.1142/s0218202525500447},
number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler,
Michael}, year={2025}, pages={2465–2512} }'
chicago: 'Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat
Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.”
Mathematical Models and Methods in Applied Sciences 35, no. 11 (2025):
2465–2512. https://doi.org/10.1142/s0218202525500447.'
ieee: 'L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic
waves in piezoelectric materials: Global large-data solutions,” Mathematical
Models and Methods in Applied Sciences, vol. 35, no. 11, pp. 2465–2512, 2025,
doi: 10.1142/s0218202525500447.'
mla: 'Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric
Materials: Global Large-Data Solutions.” Mathematical Models and Methods in
Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025,
pp. 2465–512, doi:10.1142/s0218202525500447.'
short: L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied
Sciences 35 (2025) 2465–2512.
date_created: 2024-06-20T13:43:42Z
date_updated: 2026-01-05T07:59:41Z
department:
- _id: '90'
- _id: '49'
doi: 10.1142/s0218202525500447
external_id:
arxiv:
- '2411.14900'
intvolume: ' 35'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2411.14900
oa: '1'
page: 2465-2512
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 1793-6314
publisher: World Scientific Pub Co Pte Ltd
status: public
title: 'A model for heat generation by acoustic waves in piezoelectric materials:
Global large-data solutions'
type: journal_article
user_id: '11829'
volume: 35
year: '2025'
...
---
_id: '53414'
abstract:
- lang: eng
text: "By constructing a non-empty domain of discontinuity in a suitable homogeneous\r\nspace,
we prove that every torsion-free projective Anosov subgroup is the\r\nmonodromy
group of a locally homogeneous contact Axiom A dynamical system with\r\na unique
basic hyperbolic set on which the flow is conjugate to the refraction\r\nflow
of Sambarino. Under the assumption of irreducibility, we utilize the work\r\nof
Stoyanov to establish spectral estimates for the associated complex Ruelle\r\ntransfer
operators, and by way of corollary: exponential mixing, exponentially\r\ndecaying
error term in the prime orbit theorem, and a spectral gap for the\r\nRuelle zeta
function. With no irreducibility assumption, results of\r\nDyatlov-Guillarmou
imply the global meromorphic continuation of zeta functions\r\nwith smooth weights,
as well as the existence of a discrete spectrum of\r\nRuelle-Pollicott resonances
and (co)-resonant states. We apply our results to\r\nspace-like geodesic flows
for the convex cocompact pseudo-Riemannian manifolds\r\nof Danciger-Gu\\'eritaud-Kassel,
and the Benoist-Hilbert geodesic flow for\r\nstrictly convex real projective manifolds."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Daniel
full_name: Monclair, Daniel
last_name: Monclair
- first_name: Andrew
full_name: Sanders, Andrew
last_name: Sanders
citation:
ama: 'Delarue B, Monclair D, Sanders A. Locally homogeneous Axiom A flows I: projective
Anosov subgroups and exponential mixing. Geometric and Functional Analysis
(GAFA). 2025;35:673–735. doi:10.1007/s00039-025-00712-2'
apa: 'Delarue, B., Monclair, D., & Sanders, A. (2025). Locally homogeneous Axiom
A flows I: projective Anosov subgroups and exponential mixing. Geometric and
Functional Analysis (GAFA), 35, 673–735. https://doi.org/10.1007/s00039-025-00712-2'
bibtex: '@article{Delarue_Monclair_Sanders_2025, title={Locally homogeneous Axiom
A flows I: projective Anosov subgroups and exponential mixing}, volume={35}, DOI={10.1007/s00039-025-00712-2},
journal={Geometric and Functional Analysis (GAFA)}, author={Delarue, Benjamin
and Monclair, Daniel and Sanders, Andrew}, year={2025}, pages={673–735} }'
chicago: 'Delarue, Benjamin, Daniel Monclair, and Andrew Sanders. “Locally Homogeneous
Axiom A Flows I: Projective Anosov Subgroups and Exponential Mixing.” Geometric
and Functional Analysis (GAFA) 35 (2025): 673–735. https://doi.org/10.1007/s00039-025-00712-2.'
ieee: 'B. Delarue, D. Monclair, and A. Sanders, “Locally homogeneous Axiom A flows
I: projective Anosov subgroups and exponential mixing,” Geometric and Functional
Analysis (GAFA), vol. 35, pp. 673–735, 2025, doi: 10.1007/s00039-025-00712-2.'
mla: 'Delarue, Benjamin, et al. “Locally Homogeneous Axiom A Flows I: Projective
Anosov Subgroups and Exponential Mixing.” Geometric and Functional Analysis
(GAFA), vol. 35, 2025, pp. 673–735, doi:10.1007/s00039-025-00712-2.'
short: B. Delarue, D. Monclair, A. Sanders, Geometric and Functional Analysis (GAFA)
35 (2025) 673–735.
date_created: 2024-04-11T12:31:34Z
date_updated: 2026-01-09T09:25:45Z
department:
- _id: '548'
doi: 10.1007/s00039-025-00712-2
intvolume: ' 35'
language:
- iso: eng
page: 673–735
publication: Geometric and Functional Analysis (GAFA)
publication_status: published
status: public
title: 'Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential
mixing'
type: journal_article
user_id: '70575'
volume: 35
year: '2025'
...
---
_id: '53412'
abstract:
- lang: eng
text: "Let $M$ be a symplectic manifold carrying a Hamiltonian $S^1$-action with\r\nmomentum
map $J:M \\rightarrow \\mathbb{R}$ and consider the corresponding\r\nsymplectic
quotient $\\mathcal{M}_0:=J^{-1}(0)/S^1$. We extend Sjamaar's complex\r\nof differential
forms on $\\mathcal{M}_0$, whose cohomology is isomorphic to the\r\nsingular cohomology
$H(\\mathcal{M}_0;\\mathbb{R})$ of $\\mathcal{M}_0$ with real\r\ncoefficients,
to a complex of differential forms on $\\mathcal{M}_0$ associated\r\nwith a partial
desingularization $\\widetilde{\\mathcal{M}}_0$, which we call\r\nresolution differential
forms. The cohomology of that complex turns out to be\r\nisomorphic to the de
Rham cohomology $H(\\widetilde{ \\mathcal{M}}_0)$ of\r\n$\\widetilde{\\mathcal{M}}_0$.
Based on this, we derive a long exact sequence\r\ninvolving both $H(\\mathcal{M}_0;\\mathbb{R})$
and $H(\\widetilde{\r\n\\mathcal{M}}_0)$ and give conditions for its splitting.
We then define a Kirwan\r\nmap $\\mathcal{K}:H_{S^1}(M) \\rightarrow H(\\widetilde{\\mathcal{M}}_0)$
from the\r\nequivariant cohomology $H_{S^1}(M)$ of $M$ to $H(\\widetilde{\\mathcal{M}}_0)$\r\nand
show that its image contains the image of $H(\\mathcal{M}_0;\\mathbb{R})$ in\r\n$H(\\widetilde{\\mathcal{M}}_0)$
under the natural inclusion. Combining both\r\nresults in the case that all fixed
point components of $M$ have vanishing odd\r\ncohomology we obtain a surjection
$\\check \\kappa:H^\\textrm{ev}_{S^1}(M)\r\n\\rightarrow H^\\textrm{ev}(\\mathcal{M}_0;\\mathbb{R})$
in even degrees, while\r\nalready simple examples show that a similar surjection
in odd degrees does not\r\nexist in general. As an interesting class of examples
we study abelian polygon\r\nspaces."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Pablo
full_name: Ramacher, Pablo
last_name: Ramacher
- first_name: Maximilian
full_name: Schmitt, Maximilian
last_name: Schmitt
citation:
ama: Delarue B, Ramacher P, Schmitt M. Singular cohomology of symplectic quotients
by circle actions and Kirwan surjectivity. Transformation Groups. Published
online 2025. doi:10.1007/s00031-025-09924-0
apa: Delarue, B., Ramacher, P., & Schmitt, M. (2025). Singular cohomology of
symplectic quotients by circle actions and Kirwan surjectivity. Transformation
Groups. https://doi.org/10.1007/s00031-025-09924-0
bibtex: '@article{Delarue_Ramacher_Schmitt_2025, title={Singular cohomology of symplectic
quotients by circle actions and Kirwan surjectivity}, DOI={10.1007/s00031-025-09924-0},
journal={Transformation Groups}, author={Delarue, Benjamin and Ramacher, Pablo
and Schmitt, Maximilian}, year={2025} }'
chicago: Delarue, Benjamin, Pablo Ramacher, and Maximilian Schmitt. “Singular Cohomology
of Symplectic Quotients by Circle Actions and Kirwan Surjectivity.” Transformation
Groups, 2025. https://doi.org/10.1007/s00031-025-09924-0.
ieee: 'B. Delarue, P. Ramacher, and M. Schmitt, “Singular cohomology of symplectic
quotients by circle actions and Kirwan surjectivity,” Transformation Groups,
2025, doi: 10.1007/s00031-025-09924-0.'
mla: Delarue, Benjamin, et al. “Singular Cohomology of Symplectic Quotients by Circle
Actions and Kirwan Surjectivity.” Transformation Groups, 2025, doi:10.1007/s00031-025-09924-0.
short: B. Delarue, P. Ramacher, M. Schmitt, Transformation Groups (2025).
date_created: 2024-04-11T12:30:59Z
date_updated: 2026-01-09T09:27:08Z
department:
- _id: '548'
doi: 10.1007/s00031-025-09924-0
language:
- iso: eng
publication: Transformation Groups
publication_status: epub_ahead
status: public
title: Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity
type: journal_article
user_id: '70575'
year: '2025'
...
---
_id: '63569'
abstract:
- lang: eng
text: "Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction
group $\\mathrm{con}(g)$ of an element $g\\in G$ is the set of all $h\\in G$ such
that $g^n h g^{-n} \\to 1_G$ as $n \\to \\infty$. The nub of $g$ can then be characterized
as the intersection $\\mathrm{nub}(g)$ of the closures of $\\mathrm{con}(g)$ and
$\\mathrm{con}(g^{-1})$.\r\n Contraction groups and nubs provide important tools
in the study of the structure of tdlc groups, as already evidenced in the work
of G. Willis. It is known that $\\mathrm{nub}(g) = \\{1\\}$ if and only if $\\mathrm{con}(g)$
is closed. In general, contraction groups are not closed and computing the nub
is typically a challenging problem.\r\n Maximal Kac-Moody groups over finite fields
form a prominent family of non-discrete compactly generated simple tdlc groups.
In this paper we give a complete description of the nub of any element in these
groups."
author:
- first_name: Sebastian
full_name: Bischof, Sebastian
id: '106729'
last_name: Bischof
- first_name: Timothée
full_name: Marquis, Timothée
last_name: Marquis
citation:
ama: Bischof S, Marquis T. Describing the nub in maximal Kac-Moody groups. Published
online 2025.
apa: Bischof, S., & Marquis, T. (2025). Describing the nub in maximal Kac-Moody
groups.
bibtex: '@article{Bischof_Marquis_2025, title={Describing the nub in maximal Kac-Moody
groups}, author={Bischof, Sebastian and Marquis, Timothée}, year={2025} }'
chicago: Bischof, Sebastian, and Timothée Marquis. “Describing the Nub in Maximal
Kac-Moody Groups,” 2025.
ieee: S. Bischof and T. Marquis, “Describing the nub in maximal Kac-Moody groups.”
2025.
mla: Bischof, Sebastian, and Timothée Marquis. Describing the Nub in Maximal
Kac-Moody Groups. 2025.
short: S. Bischof, T. Marquis, (2025).
date_created: 2026-01-12T14:12:09Z
date_updated: 2026-01-12T14:33:08Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:2508.15506
language:
- iso: eng
status: public
title: Describing the nub in maximal Kac-Moody groups
type: preprint
user_id: '106729'
year: '2025'
...
---
_id: '63568'
abstract:
- lang: eng
text: In this article we work out the details of flat groups of the automorphism
group of locally finite Bruhat-Tits buildings.
author:
- first_name: Sebastian
full_name: Bischof, Sebastian
id: '106729'
last_name: Bischof
citation:
ama: Bischof S. On flat groups in affine buildings. Published online 2025.
apa: Bischof, S. (2025). On flat groups in affine buildings.
bibtex: '@article{Bischof_2025, title={On flat groups in affine buildings}, author={Bischof,
Sebastian}, year={2025} }'
chicago: Bischof, Sebastian. “On Flat Groups in Affine Buildings,” 2025.
ieee: S. Bischof, “On flat groups in affine buildings.” 2025.
mla: Bischof, Sebastian. On Flat Groups in Affine Buildings. 2025.
short: S. Bischof, (2025).
date_created: 2026-01-12T14:11:47Z
date_updated: 2026-01-12T14:32:33Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:2512.16548
language:
- iso: eng
status: public
title: On flat groups in affine buildings
type: preprint
user_id: '106729'
year: '2025'
...
---
_id: '53413'
abstract:
- lang: eng
text: "For negatively curved symmetric spaces it is known that the poles of the\r\nscattering
matrices defined via the standard intertwining operators for the\r\nspherical
principal representations of the isometry group are either given as\r\npoles of
the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically
continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result
to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact
fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces
us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Delarue B, Hilgert J. Quantum resonances and scattering poles of classical
rank one locally symmetric spaces. Journal of Lie Theory. 35((4)):787--804.
apa: Delarue, B., & Hilgert, J. (n.d.). Quantum resonances and scattering poles
of classical rank one locally symmetric spaces. Journal of Lie Theory,
35((4)), 787--804.
bibtex: '@article{Delarue_Hilgert, title={Quantum resonances and scattering poles
of classical rank one locally symmetric spaces}, volume={35}, number={(4)}, journal={Journal
of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804}
}'
chicago: 'Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering
Poles of Classical Rank One Locally Symmetric Spaces.” Journal of Lie Theory
35, no. (4) (n.d.): 787--804.'
ieee: B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical
rank one locally symmetric spaces,” Journal of Lie Theory, vol. 35, no.
(4), pp. 787--804.
mla: Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering
Poles of Classical Rank One Locally Symmetric Spaces.” Journal of Lie Theory,
vol. 35, no. (4), pp. 787--804.
short: B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.
date_created: 2024-04-11T12:31:18Z
date_updated: 2026-03-31T09:07:17Z
department:
- _id: '548'
intvolume: ' 35'
issue: (4)
language:
- iso: eng
page: 787--804
publication: Journal of Lie Theory
publication_identifier:
issn:
- 0949-5932
publication_status: inpress
status: public
title: Quantum resonances and scattering poles of classical rank one locally symmetric
spaces
type: journal_article
user_id: '220'
volume: 35
year: '2025'
...