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41 Publications
2021 | Preprint | LibreCat-ID: 51503 | 
Hilgert, J., Weich, T., & Wolf, L. (2021). Higher-rank quantum-classical correspondence.
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2020 | Journal Article | LibreCat-ID: 31264
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
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| DOI
2020 | Journal Article | LibreCat-ID: 53415
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
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2019 | Journal Article | LibreCat-ID: 31265
Dyatlov, S., Borthwick, D., & Weich, T. (2019). 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(6), 1595–1639. https://doi.org/10.4171/jems/867
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| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 53416
Küster, B., & Weich, T. (2019). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. International Mathematics Research Notices, 2021(11), 8225–8296. https://doi.org/10.1093/imrn/rnz068
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2018 | Journal Article | LibreCat-ID: 51389
Hilgert, J., Weich, T., & Guillarmou, C. (2018). Classical and quantum resonances for hyperbolic surfaces. Math. Ann., 370, 1231–1275.
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2018 | Preprint | LibreCat-ID: 51524
Hilgert, J., Guillarmou, C., & Weich, T. (2018). High frequency limits for invariant Ruelle densities.
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2017 | Journal Article | LibreCat-ID: 31268
Faure, F., & Weich, T. (2017). Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics, 356(3), 755–822. https://doi.org/10.1007/s00220-017-3000-0
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31272
Harris, B., & Weich, T. (2017). Wave front sets of reductive Lie group representations III. Advances in Mathematics, 313, 176–236. https://doi.org/10.1016/j.aim.2017.03.025
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31377 |
Weich, T., & Hoffmann, M. (2017). Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt. die hochschullehre, 3.
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2017 | Journal Article | LibreCat-ID: 31267
Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31274
Borthwick, D., & Weich, T. (2016). Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Journal of Spectral Theory, 6(2), 267–329. https://doi.org/10.4171/jst/125
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31289
Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. Annales Henri Poincaré, 18(1), 37–52. https://doi.org/10.1007/s00023-016-0514-5
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
ARNOLDI, J. F., FAURE, F., & Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, 37(1), 1–58. https://doi.org/10.1017/etds.2015.34
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
Weich, T. (2015). Resonance Chains and Geometric Limits on Schottky Surfaces. Communications in Mathematical Physics, 337(2), 727–765. https://doi.org/10.1007/s00220-015-2359-z
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31294
Weich, T. (2014). Equivariant spectral asymptotics forh-pseudodifferential operators. Journal of Mathematical Physics, 55(10), Article 101501. https://doi.org/10.1063/1.4896698
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, 27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
Weich, T., Barkhofen, S., Kuhl, U., Poli, C., & Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics, 16(3), Article 033029. https://doi.org/10.1088/1367-2630/16/3/033029
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| DOI
| arXiv
2013 | Journal Article | LibreCat-ID: 31298
Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., & Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters, 110(16), Article 164102. https://doi.org/10.1103/physrevlett.110.164102
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| arXiv