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41 Publications


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

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

2023 | Preprint | LibreCat-ID: 51206
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 | arXiv
 

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

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

2023 | Preprint | LibreCat-ID: 51521 | OA
Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich. “Ruelle-Taylor Resonances of Anosov Actions,” 2023.
LibreCat | Download (ext.)
 

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

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

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

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

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

2022 | Journal Article | LibreCat-ID: 51385
Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for Trees of Bounded Degree.” J. of Spectral Theory 12 (2022): 659–81.
LibreCat
 

2021 | Preprint | LibreCat-ID: 31058
Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.
LibreCat | arXiv
 

2021 | Preprint | LibreCat-ID: 32099 | OA
Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.” ArXiv:2103.02968v1, 2021.
LibreCat | Files available
 

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

2021 | Preprint | LibreCat-ID: 51503 | OA
Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021.
LibreCat | Download (ext.)
 

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

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

2019 | Journal Article | LibreCat-ID: 31265
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.” Journal of the European Mathematical Society 21, no. 6 (2019): 1595–1639. https://doi.org/10.4171/jems/867.
LibreCat | DOI | arXiv
 

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

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