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49 Publications
2024 | Journal Article | LibreCat-ID: 32097 | 
@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures of Anosov Actions}, journal={Journal of Differential Geometry (to appear) -- arXiv:2103.12127}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin}, year={2024} }
LibreCat
| Files available
| arXiv
2024 | Journal Article | LibreCat-ID: 32101 |
@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor resonaces of Anosov actions}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024}, pages={1–36} }
LibreCat
| Files available
2024 | Preprint | LibreCat-ID: 53414
@article{Delarue_Monclair_Sanders_2024, title={Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing}, journal={arXiv:2403.14257}, author={Delarue, Benjamin and Monclair, Daniel and Sanders, Andrew}, year={2024} }
LibreCat
| arXiv
2023 | Journal Article | LibreCat-ID: 31189
@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31059
@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={ttps://doi.org/10.1007/s00220-022-04538-z}, journal={Communications in Mathematical Physics}, author={Schütte, Philipp and Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 51206
@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463}, author={Schütte, Philipp and Weich, Tobias}, year={2023} }
LibreCat
| arXiv
2023 | Journal Article | LibreCat-ID: 31190
@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }
LibreCat
| arXiv
2023 | Journal Article | LibreCat-ID: 31210
@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={10.5802/jep.220}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }
LibreCat
| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 53410
@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={10.1007/s00023-023-01379-x}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }
LibreCat
| DOI
2023 | Preprint | LibreCat-ID: 53412
@article{Delarue_Ramacher_Schmitt_2023, title={Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity}, journal={arXiv:2312.03634}, author={Delarue, Benjamin and Ramacher, Pablo and Schmitt, Maximilian}, year={2023} }
LibreCat
| arXiv
2022 | Journal Article | LibreCat-ID: 31982
@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={10.1007/s00222-022-01108-x}, number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov, Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31193
@article{Kolb_Weich_Wolf_2022, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, DOI={10.1007/s00023-021-01121-5}, number={4}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}, year={2022}, pages={1283–1296} }
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35306
@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103}, number={3}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau, Yannick and Weich, Tobias}, year={2022}, pages={851–923} }
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 31057
@article{Barkhofen_Schütte_Weich_2022, title={Semiclassical formulae For Wigner distributions}, volume={55}, DOI={10.1088/1751-8121/ac6d2b}, number={24244007}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing Ltd}, author={Barkhofen, Sonja and Schütte, Philipp and Weich, Tobias}, year={2022} }
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
@article{Bux_Hilgert_Weich_2022, title={Poisson transforms for trees of bounded degree}, volume={12}, DOI={10.4171/jst/414}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2022}, pages={659–681} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 32016
@article{Delarue_Ramacher_2021, title={Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions}, volume={19}, DOI={10.4310/JSG.2021.v19.n6.a1}, number={6}, journal={Journal of Symplectic Geometry}, author={Delarue, Benjamin and Ramacher, Pablo}, year={2021}, pages={1281–1337} }
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 31261
@article{Küster_Weich_2021, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={10.1093/imrn/rnz068}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2021}, pages={8225–8296} }
LibreCat
| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 32099 |
@article{Weich_Budde_2021, title={Wave Front Sets of Nilpotent Lie Group Representations}, journal={arXiv:2103.02968v1}, author={Weich, Tobias and Budde, Julia}, year={2021} }
LibreCat
| Files available
2021 | Journal Article | LibreCat-ID: 31263
@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for invariant Ruelle densities}, volume={4}, DOI={10.5802/ahl.67}, journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 32006
@article{Guillarmou_Küster_2021, title={Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds}, volume={22}, DOI={10.1007/s00023-021-01068-7}, number={11}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Küster, Benjamin}, year={2021}, pages={3565–3617} }
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| DOI
2020 | Journal Article | LibreCat-ID: 31264
@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} }
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 53415
@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} }
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 31265
@article{Dyatlov_Borthwick_Weich_2019, title={Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}, volume={21}, DOI={10.4171/jems/867}, number={6}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Dyatlov, Semyon and Borthwick, David and Weich, Tobias}, year={2019}, pages={1595–1639} }
LibreCat
| DOI
| arXiv
2019 | Mastersthesis | LibreCat-ID: 31302
@book{Schütte_2019, title={Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces}, author={Schütte, Philipp}, year={2019} }
LibreCat
2019 | Journal Article | LibreCat-ID: 53416
@article{Küster_Weich_2019, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={10.1093/imrn/rnz068}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2019}, pages={8225–8296} }
LibreCat
| DOI
2017 | Bachelorsthesis | LibreCat-ID: 31301
@book{Schütte_2017, title={Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks}, author={Schütte, Philipp}, year={2017} }
LibreCat
2017 | Journal Article | LibreCat-ID: 31268
@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} }
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31272
@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group representations III}, volume={313}, DOI={10.1016/j.aim.2017.03.025}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin and Weich, Tobias}, year={2017}, pages={176–236} }
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31267
@article{Guillarmou_Hilgert_Weich_2017, title={Classical and quantum resonances for hyperbolic surfaces}, volume={370}, DOI={10.1007/s00208-017-1576-5}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2017}, pages={1231–1275} }
LibreCat
| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 32020
@article{Küster_2017, title={On the semiclassical functional calculus for h-dependent functions}, volume={52}, DOI={10.1007/s10455-017-9549-1}, number={1}, journal={Annals of Global Analysis and Geometry}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin}, year={2017}, pages={57–97} }
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 32022
@article{Küster_Ramacher_2017, title={Quantum ergodicity and symmetry reduction}, volume={273}, DOI={10.1016/j.jfa.2017.02.013}, number={1}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Küster, Benjamin and Ramacher, Pablo}, year={2017}, pages={41–124} }
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| DOI
2016 | Journal Article | LibreCat-ID: 31274
@article{Borthwick_Weich_2016, title={Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions}, volume={6}, DOI={10.4171/jst/125}, number={2}, journal={Journal of Spectral Theory}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Borthwick, David and Weich, Tobias}, year={2016}, pages={267–329} }
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31289
@article{Weich_2016, title={On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}, volume={18}, DOI={10.1007/s00023-016-0514-5}, number={1}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Weich, Tobias}, year={2016}, pages={37–52} }
LibreCat
| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
@article{ARNOLDI_FAURE_Weich_2015, title={Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps}, volume={37}, DOI={10.1017/etds.2015.34}, number={1}, journal={Ergodic Theory and Dynamical Systems}, publisher={Cambridge University Press (CUP)}, author={ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias}, year={2015}, pages={1–58} }
LibreCat
| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
@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} }
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31294
@article{Weich_2014, title={Equivariant spectral asymptotics forh-pseudodifferential operators}, volume={55}, DOI={10.1063/1.4896698}, number={10101501}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Weich, Tobias}, year={2014} }
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}, volume={27}, DOI={10.1088/0951-7715/27/8/1829}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen, Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
@article{Weich_Barkhofen_Kuhl_Poli_Schomerus_2014, title={Formation and interaction of resonance chains in the open three-disk system}, volume={16}, DOI={10.1088/1367-2630/16/3/033029}, number={3033029}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}, year={2014} }
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 32025
@article{Küster_2014, title={Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra}, volume={22}, number={2}, journal={Communications in Mathematics}, author={Küster, Benjamin}, year={2014}, pages={141–149} }
LibreCat
2013 | Journal Article | LibreCat-ID: 31298
@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}, volume={110}, DOI={10.1103/physrevlett.110.164102}, number={16164102}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 31300
@article{Potzuweit_Weich_Barkhofen_Kuhl_Stöckmann_Zworski_2012, title={Weyl asymptotics: From closed to open systems}, volume={86}, DOI={10.1103/physreve.86.066205}, number={6066205}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Potzuweit, A. and Weich, Tobias and Barkhofen, Sonja and Kuhl, U. and Stöckmann, H.-J. and Zworski, M.}, year={2012} }
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| DOI
| arXiv