@unpublished{63568,
abstract = {{In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings.}},
author = {{Bischof, Sebastian}},
title = {{{On flat groups in affine buildings}}},
year = {{2025}},
}
@article{34807,
abstract = {{Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all
real-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space
${\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of
time-dependent real-analytic vector fields on $M$ which are integrable
functions in time, and their dependence on the time-dependent vector field.
Notably, we show that the Lie group $G$ is $L^1$-regular in the sense that each
$[\gamma]$ in $L^1([0,1],{\mathfrak g})$ has an evolution which is an
absolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\gamma]$.
As tools for the proof, we develop several new results concerning
$L^p$-regularity of infinite-dimensional Lie groups, for $1\leq p\leq \infty$,
which will be useful also for the discussion of other classes of groups.
Moreover, we obtain new results concerning the continuity and complex
analyticity of non-linear mappings on open subsets of locally convex direct
limits.}},
author = {{Glöckner, Helge}},
journal = {{Nonlinear Analysis}},
title = {{{Lie groups of real analytic diffeomorphisms are L^1-regular}}},
doi = {{10.1016/j.na.2024.113690}},
volume = {{252}},
year = {{2025}},
}
@article{60205,
author = {{Black, Tobias}},
issn = {{0022-0396}},
journal = {{Journal of Differential Equations}},
publisher = {{Elsevier BV}},
title = {{{Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}}},
doi = {{10.1016/j.jde.2025.113555}},
volume = {{443}},
year = {{2025}},
}
@article{53413,
abstract = {{For negatively curved symmetric spaces it is known that the poles of the
scattering matrices defined via the standard intertwining operators for the
spherical principal representations of the isometry group are either given as
poles of the intertwining operators or as quantum resonances, i.e. poles of the
meromorphically continued resolvents of the Laplace-Beltrami operator. We
extend this result to classical locally symmetric spaces of negative curvature
with convex-cocompact fundamental group using results of Bunke and Olbrich. The
method of proof forces us to exclude the spectral parameters corresponding to
singular Poisson transforms.}},
author = {{Delarue, Benjamin and Hilgert, Joachim}},
issn = {{0949-5932}},
journal = {{Journal of Lie Theory}},
number = {{(4)}},
pages = {{787----804}},
title = {{{Quantum resonances and scattering poles of classical rank one locally symmetric spaces}}},
volume = {{35}},
year = {{2025}},
}
@unpublished{52691,
abstract = {{We prove Feynman-Kac formulas for the semigroups generated by selfadjoint
operators in a class containing Fr\"ohlich Hamiltonians known from solid state
physics. The latter model multi-polarons, i.e., a fixed number of quantum
mechanical electrons moving in a polarizable crystal and interacting with the
quantized phonon field generated by the crystal's vibrational modes. Both the
electrons and phonons can be confined to suitable open subsets of Euclidean
space. We also include possibly very singular magnetic vector potentials and
electrostatic potentials. Our Feynman-Kac formulas comprise Fock space
operator-valued multiplicative functionals and can be applied to every vector
in the underlying Hilbert space. In comparison to the renormalized Nelson
model, for which analogous Feynman-Kac formulas are known, the analysis of the
creation and annihilation terms in the multiplicative functionals requires
novel ideas to overcome difficulties caused by the phonon dispersion relation
being constant. Getting these terms under control and generalizing other
construction steps so as to cover confined systems are the main achievements of
this article.}},
author = {{Hinrichs, Benjamin and Matte, Oliver}},
booktitle = {{arXiv:2403.12147}},
title = {{{Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains}}},
year = {{2024}},
}
@article{51207,
abstract = {{Let $X=X_1\times X_2$ be a product of two rank one symmetric spaces of
non-compact type and $\Gamma$ a torsion-free discrete subgroup in $G_1\times
G_2$. We show that the spectrum of $\Gamma \backslash X$ is related to the
asymptotic growth of $\Gamma$ in the two direction defined by the two factors.
We obtain that $L^2(\Gamma \backslash G)$ is tempered for large class of
$\Gamma$.}},
author = {{Weich, Tobias and Wolf, Lasse Lennart}},
journal = {{Geom Dedicata}},
title = {{{Temperedness of locally symmetric spaces: The product case}}},
doi = {{https://doi.org/10.1007/s10711-024-00904-4}},
volume = {{218}},
year = {{2024}},
}
@book{55193,
author = {{Hoffmann, Max and Hilgert, Joachim and Weich, Tobias}},
isbn = {{9783662673560}},
publisher = {{Springer Berlin Heidelberg}},
title = {{{Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik}}},
doi = {{10.1007/978-3-662-67357-7}},
year = {{2024}},
}
@article{53300,
author = {{Brennecken, Dominik}},
issn = {{0022-247X}},
journal = {{Journal of Mathematical Analysis and Applications}},
keywords = {{Applied Mathematics, Analysis}},
number = {{2}},
publisher = {{Elsevier BV}},
title = {{{Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting}}},
doi = {{10.1016/j.jmaa.2024.128125}},
volume = {{535}},
year = {{2024}},
}
@inbook{56001,
author = {{Brennecken, Dominik and Rösler, Margit}},
booktitle = {{Women in Analysis and PDE}},
editor = {{Chatzakou, Marianna and Ruzhansky, Michael and Stoeva, Diana}},
isbn = {{978-3-031-57004-9}},
pages = {{425}},
publisher = {{Birkhäuser Cham}},
title = {{{The Laplace transform in Dunkl theory}}},
volume = {{5}},
year = {{2024}},
}
@unpublished{56114,
author = {{Pinaud, Matthieu}},
title = {{{Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups}}},
year = {{2024}},
}
@article{56366,
abstract = {{AbstractWe discuss in which cases the Dunkl convolution of distributions , possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions. Based on this, we are able to prove a theorem on elliptic regularity for a certain class of Dunkl operators, called elliptic Dunkl operators. Finally, for the root system we consider the Riesz distributions and prove that their Dunkl convolution exists and that holds.}},
author = {{Brennecken, Dominik}},
issn = {{0025-584X}},
journal = {{Mathematische Nachrichten}},
publisher = {{Wiley}},
title = {{{Dunkl convolution and elliptic regularity for Dunkl operators}}},
doi = {{10.1002/mana.202300370}},
year = {{2024}},
}
@article{56584,
author = {{Suri, Ali}},
journal = {{Journal of Geometry and Physics}},
pages = {{105109}},
title = {{{Curvature and stability of quasi-geostrophic motion}}},
volume = {{198}},
year = {{2024}},
}
@article{56585,
author = {{Suri, Ali}},
journal = {{Journal of Geometry and Physics}},
pages = {{105333}},
title = {{{Conjugate points along spherical harmonics}}},
volume = {{206}},
year = {{2024}},
}
@unpublished{56583,
author = {{Glöckner, Helge and Suri, Ali}},
title = {{{L^1-regularity of strong ILB-Lie groups}}},
year = {{2024}},
}
@inproceedings{63605,
author = {{Tomasz Goliński, Tomasz and Rahangdale, Praful and Tumpach, Alice Barbora}},
booktitle = {{Geometric Methods in Physics, XLI Workshop}},
editor = {{Kielanowski, P. and Dobrogowska, A. and Fernández, D. and Goliński, D.}},
isbn = {{978-3-031-89857-0}},
location = {{Białystok, Poland}},
pages = {{97–117}},
publisher = {{Birkhauser}},
title = {{{Poisson structures in the Banach setting: comparison of different approaches}}},
doi = {{10.1007/978-3-031-89857-0_9}},
year = {{2024}},
}
@article{63636,
author = {{Hinrichs, Benjamin and Lampart, Jonas}},
issn = {{1631-073X}},
journal = {{Comptes Rendus. Mathématique}},
number = {{G11}},
pages = {{1399--1411}},
publisher = {{MathDoc/Centre Mersenne}},
title = {{{A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate}}},
doi = {{10.5802/crmath.652}},
volume = {{362}},
year = {{2024}},
}
@unpublished{63641,
abstract = {{We present a simple functional integration based proof that the semigroups generated by the ultraviolet-renormalized translation-invariant non- and semi-relativistic Nelson Hamiltonians are positivity improving (and hence ergodic) with respect to the Fröhlich cone for arbitrary values of the total momentum. Our argument simplifies known proofs for ergodicity and the result is new in the semi-relativistic case.}},
author = {{Hinrichs, Benjamin and Hiroshima, Fumio}},
booktitle = {{arXiv:2412.09708}},
title = {{{On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups}}},
year = {{2024}},
}
@article{63637,
author = {{Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}},
issn = {{1424-0637}},
journal = {{Annales Henri Poincaré}},
number = {{1}},
pages = {{41--80}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On Lieb–Robinson Bounds for a Class of Continuum Fermions}}},
doi = {{10.1007/s00023-024-01453-y}},
volume = {{26}},
year = {{2024}},
}
@article{51374,
author = {{Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}},
issn = {{0022-1236}},
journal = {{Journal of Functional Analysis}},
keywords = {{Analysis}},
number = {{7}},
publisher = {{Elsevier BV}},
title = {{{Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively}}},
doi = {{10.1016/j.jfa.2024.110319}},
volume = {{286}},
year = {{2024}},
}
@article{32101,
author = {{Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}},
journal = {{J. Europ. Math. Soc.}},
number = {{8}},
pages = {{3085–3147}},
title = {{{Ruelle-Taylor resonances of Anosov actions}}},
doi = {{https://doi.org/10.4171/JEMS/1428}},
volume = {{27}},
year = {{2024}},
}