@article{63588,
author = {{Modin, Klas and Suri, Ali}},
journal = {{Calculus of Variations and Partial Differential Equations }},
title = {{{Geodesic interpretation of the global quasi-geostrophic equations}}},
doi = {{https://doi.org/10.1007/s00526-025-03186-0}},
volume = {{65}},
year = {{2026}},
}
@article{63621,
author = {{Black, Tobias}},
issn = {{0373-3114}},
journal = {{Annali di Matematica Pura ed Applicata (1923 -)}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Refining Hölder regularity theory in degenerate drift-diffusion equations}}},
doi = {{10.1007/s10231-025-01642-4}},
year = {{2026}},
}
@article{63656,
author = {{Ares, Laura and Pinske, Julien and Hinrichs, Benjamin and Kolb, Martin and Sperling, Jan}},
issn = {{2469-9926}},
journal = {{Physical Review A}},
number = {{1}},
publisher = {{American Physical Society (APS)}},
title = {{{Restricted Monte Carlo wave-function method and Lindblad equation for identifying entangling open-quantum-system dynamics}}},
doi = {{10.1103/hcj7-8zlg}},
volume = {{113}},
year = {{2026}},
}
@article{63657,
author = {{Pinske, Julien and Ares, Laura and Hinrichs, Benjamin and Kolb, Martin and Sperling, Jan}},
issn = {{2469-9926}},
journal = {{Physical Review A}},
number = {{1}},
publisher = {{American Physical Society (APS)}},
title = {{{Separability Lindblad equation for dynamical open-system entanglement}}},
doi = {{10.1103/kd3b-bfxq}},
volume = {{113}},
year = {{2026}},
}
@article{63672,
author = {{Black, Tobias and Kohatsu, Shohei and Wu, Duan}},
issn = {{1424-3199}},
journal = {{Journal of Evolution Equations}},
number = {{1}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption}}},
doi = {{10.1007/s00028-025-01163-w}},
volume = {{26}},
year = {{2026}},
}
@article{51204,
abstract = {{Given a real semisimple connected Lie group $G$ and a discrete torsion-free
subgroup $\Gamma < G$ we prove a precise connection between growth rates of the
group $\Gamma$, polyhedral bounds on the joint spectrum of the ring of
invariant differential operators, and the decay of matrix coefficients. In
particular, this allows us to completely characterize temperedness of
$L^2(\Gamma\backslash G)$ in this general setting.}},
author = {{Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}},
journal = {{Duke Math. Journal }},
title = {{{Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces}}},
volume = {{(to appear)}},
year = {{2026}},
}
@article{64290,
author = {{Niestijl, Milan}},
issn = {{0022-1236}},
journal = {{Journal of Functional Analysis}},
number = {{9}},
publisher = {{Elsevier BV}},
title = {{{Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations}}},
doi = {{10.1016/j.jfa.2026.111382}},
volume = {{290}},
year = {{2026}},
}
@article{64569,
abstract = {{Abstract
We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem. We get complete solvability for the hyperbolic plane and partial results for products and the hyperbolic 3‐space .}},
author = {{Olbrich, Martin and Palmirotta, Guendalina}},
issn = {{0025-584X}},
journal = {{Mathematische Nachrichten}},
number = {{2}},
pages = {{456--479}},
publisher = {{Wiley}},
title = {{{Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond}}},
doi = {{10.1002/mana.70100}},
volume = {{299}},
year = {{2026}},
}
@unpublished{64629,
author = {{Glöckner, Helge and Neeb, Karl-Hermann}},
pages = {{1056}},
title = {{{Infinite-dimensional Lie groups}}},
year = {{2026}},
}
@article{63435,
author = {{Claes, Leander and Winkler, Michael}},
issn = {{1468-1218}},
journal = {{Nonlinear Analysis: Real World Applications}},
pages = {{104580}},
publisher = {{Elsevier BV}},
title = {{{Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis}}},
doi = {{10.1016/j.nonrwa.2025.104580}},
volume = {{91}},
year = {{2026}},
}
@unpublished{64871,
author = {{Rahangdale, Praful}},
title = {{{Drinfeld correspondence in infinite dimensions}}},
year = {{2026}},
}
@unpublished{65036,
author = {{Cohen, Tal and Glöckner, Helge and Goffer, Gil and Lederle, Waltraud}},
title = {{{Compact invariant random subgroups}}},
year = {{2026}},
}
@article{57580,
abstract = {{We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneous trees. Due to the Knapp phenomenon, the Strichartz estimates on Euclidean spaces for the fractional Laplacian exhibit loss of derivatives. A similar phenomenon appears on real hyperbolic spaces. However, such a loss disappears on homogeneous trees, due to the triviality of the estimates for small times.}},
author = {{Palmirotta, Guendalina and Sire, Yannick and Anker, Jean-Philippe}},
journal = {{Journal of Differential Equations}},
keywords = {{Schrödinger equation, Fractional Laplacian, Dispersive estimates, Strichartz estimates, Real hyperbolic spaces, Homogeneous trees}},
publisher = {{Elsevier}},
title = {{{The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees}}},
doi = {{10.1016/j.jde.2025.114065}},
year = {{2026}},
}
@unpublished{65232,
abstract = {{On finite regular graphs, we construct Patterson-Sullivan distributions associated with eigenfunctions of the discrete Laplace operator via their boundary values on the phase space. These distributions are closely related to Wigner distributions defined via a pseudo-differential calculus on graphs, which appear naturally in the study of quantum chaos. Using a pairing formula, we prove that Patterson-Sullivan distributions are also related to invariant Ruelle distributions arising from the transfer operator of the geodesic flow on the shift space. Both relationships provide discrete analogues of results for compact hyperbolic surfaces obtained by Anantharaman-Zelditch and by Guillarmou-Hilgert-Weich.}},
author = {{Arends, Christian and Palmirotta, Guendalina}},
booktitle = {{arXiv:2603.09779}},
pages = {{38}},
title = {{{Patterson-Sullivan distributions of finite regular graphs}}},
year = {{2026}},
}
@article{32099,
author = {{Weich, Tobias and Budde, Julia}},
journal = {{Journal of Functional Analysis}},
number = {{1}},
title = {{{Wave Front Sets of Nilpotent Lie Group Representations}}},
doi = {{ https://doi.org/10.1016/j.jfa.2024.110684}},
volume = {{288}},
year = {{2025}},
}
@article{56960,
author = {{Black, Tobias}},
issn = {{0893-9659}},
journal = {{Applied Mathematics Letters}},
publisher = {{Elsevier BV}},
title = {{{Absence of dead-core formations in chemotaxis systems with degenerate diffusion}}},
doi = {{10.1016/j.aml.2024.109361}},
volume = {{161}},
year = {{2025}},
}
@article{63587,
author = {{Suri, Ali}},
journal = {{Differential Geometry and its Applications}},
publisher = {{Elsevier}},
title = {{{Stochastic Euler-Poincaré reduction for central extension}}},
doi = {{https://doi.org/10.1016/j.difgeo.2025.102290}},
volume = {{101}},
year = {{2025}},
}
@inproceedings{63589,
author = {{Cruzeiro, Ana Bela and Suri, Ali}},
isbn = {{978-3-032-03920-0}},
publisher = {{Springer}},
title = {{{Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics}}},
doi = {{https://doi.org/10.1007/978-3-032-03921-7_41}},
year = {{2025}},
}
@unpublished{63602,
abstract = {{We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$.}},
author = {{Michor, P. W. and Rahangdale, Praful}},
title = {{{Poisson bivectors on infinite dimensional manifolds}}},
year = {{2025}},
}
@inproceedings{47534,
abstract = {{In this proceeding we consider a translation invariant Nelson type model in
two spatial dimensions modeling a scalar relativistic particle in interaction
with a massive radiation field. As is well-known, the corresponding Hamiltonian
can be defined with the help of an energy renormalization. First, we review a
Feynman-Kac formula for the semigroup generated by this Hamiltonian proven by
the authors in a recent preprint (where several matter particles and exterior
potentials are treated as well). After that, we employ a few technical key
relations and estimates obtained in our preprint to present an otherwise
self-contained derivation of new Feynman-Kac formulas for the fiber
Hamiltonians attached to fixed total momenta of the translation invariant
system. We conclude by inferring an alternative derivation of the Feynman-Kac
formula for the full translation invariant Hamiltonian.}},
author = {{Hinrichs, Benjamin and Matte, Oliver}},
booktitle = {{Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'}},
editor = {{Hiroshima, Fumio}},
number = {{3}},
title = {{{Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions}}},
volume = {{2310}},
year = {{2025}},
}