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40 Publications
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.
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| DOI
| arXiv
2021 | Preprint | LibreCat-ID: 51503 | 
Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021.
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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.
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| 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.
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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.
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| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 53416
Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” International Mathematics Research Notices 2021, no. 11 (2019): 8225–96. https://doi.org/10.1093/imrn/rnz068.
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2017 | Journal Article | LibreCat-ID: 31268
Faure, Frédéric, and Tobias Weich. “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps.” Communications in Mathematical Physics 356, no. 3 (2017): 755–822. https://doi.org/10.1007/s00220-017-3000-0.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31272
Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” Advances in Mathematics 313 (2017): 176–236. https://doi.org/10.1016/j.aim.2017.03.025.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen 370, no. 3–4 (2017): 1231–75. https://doi.org/10.1007/s00208-017-1576-5.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31377 |
Weich, Tobias, and Max Hoffmann. “Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt.” die hochschullehre 3 (2017).
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2016 | Journal Article | LibreCat-ID: 31274
Borthwick, David, and Tobias Weich. “Symmetry Reduction of Holomorphic Iterated Function Schemes and Factorization of Selberg Zeta Functions.” Journal of Spectral Theory 6, no. 2 (2016): 267–329. https://doi.org/10.4171/jst/125.
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31289
Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” Annales Henri Poincaré 18, no. 1 (2016): 37–52. https://doi.org/10.1007/s00023-016-0514-5.
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, JEAN FRANCOIS, FRÉDÉRIC FAURE, and Tobias Weich. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” Ergodic Theory and Dynamical Systems 37, no. 1 (2015): 1–58. https://doi.org/10.1017/etds.2015.34.
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
Weich, Tobias. “Resonance Chains and Geometric Limits on Schottky Surfaces.” Communications in Mathematical Physics 337, no. 2 (2015): 727–65. https://doi.org/10.1007/s00220-015-2359-z.
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31294
Weich, Tobias. “Equivariant Spectral Asymptotics forh-Pseudodifferential Operators.” Journal of Mathematical Physics 55, no. 10 (2014). https://doi.org/10.1063/1.4896698.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” Nonlinearity 27, no. 8 (2014): 1829–58. https://doi.org/10.1088/0951-7715/27/8/1829.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” New Journal of Physics 16, no. 3 (2014). https://doi.org/10.1088/1367-2630/16/3/033029.
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| DOI
| arXiv
2013 | Journal Article | LibreCat-ID: 31298
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.” Physical Review Letters 110, no. 16 (2013). https://doi.org/10.1103/physrevlett.110.164102.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 31300
Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski. “Weyl Asymptotics: From Closed to Open Systems.” Physical Review E 86, no. 6 (2012). https://doi.org/10.1103/physreve.86.066205.
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| arXiv