Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” Journal of Differential Geometry (to Appear) --  ArXiv:2103.12127, 2024.
LibreCat: /record/32097
arXiv: https://arxiv.org/abs/2103.12127

Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc., 2024, 1–36.
LibreCat: /record/32101

Delarue, Benjamin, Daniel Monclair, and Andrew Sanders. “Locally Homogeneous Axiom A Flows I: Projective Anosov Subgroups and  Exponential Mixing.” ArXiv:2403.14257, 2024.
LibreCat: /record/53414
arXiv: 2403.14257

Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” ArXiv:2403.14426, 2024.
LibreCat: /record/53413
arXiv: 2403.14426

Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.”https://doi.org/10.1007/s10711-024-00904-4__Geom Dedicata 218 (2024).https://doi.org/10.1007/s10711-024-00904-4 .
LibreCat: /record/51207
DOI: https://doi.org/10.1007/s10711-024-00904-4
arXiv: 2304.09573

Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” ArXiv:2402.02530, 2024.
LibreCat: /record/51204
arXiv: 2402.02530

Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric  Spaces.”https://doi.org/10.1007/s00220-023-04819-1__Communications in Mathematical Physics 403 (2023).https://doi.org/10.1007/s00220-023-04819-1 .
LibreCat: /record/31189
DOI: https://doi.org/10.1007/s00220-023-04819-1
arXiv: 2205.03167

Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.”https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z__Communications in Mathematical Physics 398 (2023): 655–78.https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z .
LibreCat: /record/31059
DOI: ttps://doi.org/10.1007/s00220-022-04538-z
arXiv: 2112.05791

Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023.
LibreCat: /record/51206
arXiv: 2308.13463

Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis &; PDE 16, no. 10 (2023): 2241–2265.
LibreCat: /record/31190
arXiv: 2103.05667

Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.
LibreCat: /record/51205
arXiv: 2307.10876

Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.”https://doi.org/10.5802/jep.220__Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403.https://doi.org/10.5802/jep.220 .
LibreCat: /record/31210
DOI: 10.5802/jep.220
arXiv: 2112.11073

Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” ArXiv:2311.11770, 2023.
LibreCat: /record/53404
arXiv: 2311.11770

Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.”https://doi.org/10.1007/s00023-023-01379-x__Annales Henri Poincaré 25, no. 2 (2023): 1607–56.https://doi.org/10.1007/s00023-023-01379-x .
LibreCat: /record/53410
DOI: 10.1007/s00023-023-01379-x

Delarue, Benjamin, Pablo Ramacher, and Maximilian Schmitt. “Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan  Surjectivity.” ArXiv:2312.03634, 2023.
LibreCat: /record/53412
arXiv: 2312.03634

Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” ArXiv:2302.09894, 2023.
LibreCat: /record/53411
arXiv: 2302.09894

Ceki, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.”https://doi.org/10.1007/s00222-022-01108-x__Inventiones Mathematicae 229, no. 1 (2022): 303–94.https://doi.org/10.1007/s00222-022-01108-x .
LibreCat: /record/31982
DOI: 10.1007/s00222-022-01108-x

Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.”https://doi.org/10.1007/s00023-021-01121-5__Annales Henri Poincaré 23, no. 4 (2022): 1283–96.https://doi.org/10.1007/s00023-021-01121-5 .
LibreCat: /record/31193
DOI: 10.1007/s00023-021-01121-5
arXiv: arXiv:2011.06434

Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances for Manifolds with Hyperbolic Cusps.”https://doi.org/10.4171/jems/1103__Journal of the European Mathematical Society 24, no. 3 (2022): 851–923.https://doi.org/10.4171/jems/1103 .
LibreCat: /record/35306
DOI: 10.4171/jems/1103

Barkhofen, Sonja, Philipp Schütte, and Tobias Weich. “Semiclassical Formulae For Wigner Distributions.”https://doi.org/10.1088/1751-8121/ac6d2b__Journal of Physics A: Mathematical and Theoretical 55, no. 24 (2022).https://doi.org/10.1088/1751-8121/ac6d2b .
LibreCat: /record/31057
DOI: 10.1088/1751-8121/ac6d2b
arXiv: 2201.04892

Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Poisson Transforms for Trees of Bounded Degree.”https://doi.org/10.4171/jst/414__Journal of Spectral Theory 12, no. 2 (2022): 659–81.https://doi.org/10.4171/jst/414 .
LibreCat: /record/35322
DOI: 10.4171/jst/414

Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized Witten Integrals for Hamiltonian Circle Actions.”https://doi.org/10.4310/JSG.2021.v19.n6.a1__Journal of Symplectic Geometry 19, no. 6 (2021): 1281–1337.https://doi.org/10.4310/JSG.2021.v19.n6.a1 .
LibreCat: /record/32016
DOI: 10.4310/JSG.2021.v19.n6.a1

Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.
LibreCat: /record/31058
arXiv: 2109.05907

Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.”https://doi.org/10.1093/imrn/rnz068__International Mathematics Research Notices 2021, no. 11 (2021): 8225–96.https://doi.org/10.1093/imrn/rnz068 .
LibreCat: /record/31261
DOI: 10.1093/imrn/rnz068
arXiv: 1710.04625

Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.” ArXiv:2103.02968, 2021.
LibreCat: /record/32099

Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.”https://doi.org/10.5802/ahl.67__Annales Henri Lebesgue 4 (2021): 81–119.https://doi.org/10.5802/ahl.67 .
LibreCat: /record/31263
DOI: 10.5802/ahl.67
arXiv: 1803.06717

Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.”https://doi.org/10.1007/s00023-021-01068-7__Annales Henri Poincaré 22, no. 11 (2021): 3565–3617.https://doi.org/10.1007/s00023-021-01068-7 .
LibreCat: /record/32006
DOI: 10.1007/s00023-021-01068-7

Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.”https://doi.org/10.1007/s00220-020-03793-2__Communications in Mathematical Physics 378, no. 2 (2020): 917–41.https://doi.org/10.1007/s00220-020-03793-2 .
LibreCat: /record/31264
DOI: 10.1007/s00220-020-03793-2

Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.”https://doi.org/10.1007/s00220-020-03793-2__Communications in Mathematical Physics 378, no. 2 (2020): 917–41.https://doi.org/10.1007/s00220-020-03793-2 .
LibreCat: /record/53415
DOI: 10.1007/s00220-020-03793-2

Dyatlov, Semyon, David Borthwick, and Tobias Weich. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.”https://doi.org/10.4171/jems/867__Journal of the European Mathematical Society 21, no. 6 (2019): 1595–1639.https://doi.org/10.4171/jems/867 .
LibreCat: /record/31265
DOI: 10.4171/jems/867
arXiv: 1512.00836

Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces.” ArXiv:1909.06183, 2019.
LibreCat: /record/31191
arXiv: 1909.06183

Schütte, Philipp. Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.
LibreCat: /record/31302

Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.”https://doi.org/10.1093/imrn/rnz068__International Mathematics Research Notices 2021, no. 11 (2019): 8225–96.https://doi.org/10.1093/imrn/rnz068 .
LibreCat: /record/53416
DOI: 10.1093/imrn/rnz068

Schütte, Philipp. Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks, 2017.
LibreCat: /record/31301

Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.”https://doi.org/10.1007/s00220-017-3000-0__Communications in Mathematical Physics 356, no. 3 (2017): 755–822.https://doi.org/10.1007/s00220-017-3000-0 .
LibreCat: /record/31268
DOI: 10.1007/s00220-017-3000-0
arXiv: 1504.06728

Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.”https://doi.org/10.1016/j.aim.2017.03.025__Advances in Mathematics 313 (2017): 176–236.https://doi.org/10.1016/j.aim.2017.03.025 .
LibreCat: /record/31272
DOI: 10.1016/j.aim.2017.03.025
arXiv: 1503.08431

Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.”https://doi.org/10.1007/s00208-017-1576-5__Mathematische Annalen 370, no. 3–4 (2017): 1231–75.https://doi.org/10.1007/s00208-017-1576-5 .
LibreCat: /record/31267
DOI: 10.1007/s00208-017-1576-5
arXiv: 1605.08801

Küster, Benjamin. “On the Semiclassical Functional Calculus for H-Dependent Functions.”https://doi.org/10.1007/s10455-017-9549-1__Annals of Global Analysis and Geometry 52, no. 1 (2017): 57–97.https://doi.org/10.1007/s10455-017-9549-1 .
LibreCat: /record/32020
DOI: 10.1007/s10455-017-9549-1

Küster, Benjamin, and Pablo Ramacher. “Quantum Ergodicity and Symmetry Reduction.”https://doi.org/10.1016/j.jfa.2017.02.013__Journal of Functional Analysis 273, no. 1 (2017): 41–124.https://doi.org/10.1016/j.jfa.2017.02.013 .
LibreCat: /record/32022
DOI: 10.1016/j.jfa.2017.02.013

Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.”https://doi.org/10.4171/jst/125__Journal of Spectral Theory 6, no. 2 (2016): 267–329.https://doi.org/10.4171/jst/125 .
LibreCat: /record/31274
DOI: 10.4171/jst/125
arXiv: 1407.6134 

Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.”https://doi.org/10.1007/s00023-016-0514-5__Annales Henri Poincaré 18, no. 1 (2016): 37–52.https://doi.org/10.1007/s00023-016-0514-5 .
LibreCat: /record/31289
DOI: 10.1007/s00023-016-0514-5
arXiv: 1511.08338

ARNOLDI, JEAN FRANCOIS, FRÉDÉRIC FAURE, and Tobias Weich. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.”https://doi.org/10.1017/etds.2015.34__Ergodic Theory and Dynamical Systems 37, no. 1 (2015): 1–58.https://doi.org/10.1017/etds.2015.34 .
LibreCat: /record/31291
DOI: 10.1017/etds.2015.34
arXiv: 1302.3087

Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.”https://doi.org/10.1007/s00220-015-2359-z__Communications in Mathematical Physics 337, no. 2 (2015): 727–65.https://doi.org/10.1007/s00220-015-2359-z .
LibreCat: /record/31293
DOI: 10.1007/s00220-015-2359-z
arXiv: 1403.7419 

Weich, Tobias. “Equivariant Spectral Asymptotics forh-Pseudodifferential Operators.”https://doi.org/10.1063/1.4896698__Journal of Mathematical Physics 55, no. 10 (2014).https://doi.org/10.1063/1.4896698 .
LibreCat: /record/31294
DOI: 10.1063/1.4896698
arXiv: 1311.2436 

Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.”https://doi.org/10.1088/0951-7715/27/8/1829__Nonlinearity 27, no. 8 (2014): 1829–58.https://doi.org/10.1088/0951-7715/27/8/1829 .
LibreCat: /record/31296
DOI: 10.1088/0951-7715/27/8/1829
arXiv: 1403.7771 

Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.”https://doi.org/10.1088/1367-2630/16/3/033029__New Journal of Physics 16, no. 3 (2014).https://doi.org/10.1088/1367-2630/16/3/033029 .
LibreCat: /record/31297
DOI: 10.1088/1367-2630/16/3/033029
arXiv: 1311.5128 

Küster, Benjamin. “Discontinuity of the Fuglede-Kadison Determinant on a Group von Neumann Algebra.” Communications in Mathematics 22, no. 2 (2014): 141–49.
LibreCat: /record/32025

Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.”https://doi.org/10.1103/physrevlett.110.164102__Physical Review Letters 110, no. 16 (2013).https://doi.org/10.1103/physrevlett.110.164102 .
LibreCat: /record/31298
DOI: 10.1103/physrevlett.110.164102
arXiv: 1212.5897 

Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski. “Weyl Asymptotics: From Closed to Open Systems.”https://doi.org/10.1103/physreve.86.066205__Physical Review E 86, no. 6 (2012).https://doi.org/10.1103/physreve.86.066205 .
LibreCat: /record/31300
DOI: 10.1103/physreve.86.066205
arXiv: 1209.2304