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41 Publications
2021 | Preprint | LibreCat-ID: 51503 | 
J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
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2020 | Journal Article | LibreCat-ID: 31264
B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020, doi: 10.1007/s00220-020-03793-2.
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| DOI
2020 | Journal Article | LibreCat-ID: 53415
B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020, doi: 10.1007/s00220-020-03793-2.
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2019 | Journal Article | LibreCat-ID: 31265
S. Dyatlov, D. Borthwick, and T. 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, vol. 21, no. 6, pp. 1595–1639, 2019, doi: 10.4171/jems/867.
LibreCat
| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 53416
B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” International Mathematics Research Notices, vol. 2021, no. 11, pp. 8225–8296, 2019, doi: 10.1093/imrn/rnz068.
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2018 | Journal Article | LibreCat-ID: 51389
J. Hilgert, T. Weich, and C. Guillarmou, “Classical and quantum resonances for hyperbolic surfaces,” Math. Ann., vol. 370, pp. 1231–1275, 2018.
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2018 | Preprint | LibreCat-ID: 51524
J. Hilgert, C. Guillarmou, and T. Weich, “High frequency limits for invariant Ruelle densities.” 2018.
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2017 | Journal Article | LibreCat-ID: 31268
F. Faure and T. Weich, “Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps,” Communications in Mathematical Physics, vol. 356, no. 3, pp. 755–822, 2017, doi: 10.1007/s00220-017-3000-0.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31272
B. Harris and T. Weich, “Wave front sets of reductive Lie group representations III,” Advances in Mathematics, vol. 313, pp. 176–236, 2017, doi: 10.1016/j.aim.2017.03.025.
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| DOI
| arXiv
2017 | Journal Article | LibreCat-ID: 31377 |
T. Weich and M. Hoffmann, “Exkursinhalte in der fachmathematischen Lehramtsausbildung: Wie man das Wesen und die Rolle der Mathematik vermittelt.,” die hochschullehre, vol. 3, 2017.
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2017 | Journal Article | LibreCat-ID: 31267
C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: 10.1007/s00208-017-1576-5.
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31274
D. Borthwick and T. Weich, “Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions,” Journal of Spectral Theory, vol. 6, no. 2, pp. 267–329, 2016, doi: 10.4171/jst/125.
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 31289
T. Weich, “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows,” Annales Henri Poincaré, vol. 18, no. 1, pp. 37–52, 2016, doi: 10.1007/s00023-016-0514-5.
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31291
J. F. ARNOLDI, F. FAURE, and T. Weich, “Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps,” Ergodic Theory and Dynamical Systems, vol. 37, no. 1, pp. 1–58, 2015, doi: 10.1017/etds.2015.34.
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| DOI
| arXiv
2015 | Journal Article | LibreCat-ID: 31293
T. Weich, “Resonance Chains and Geometric Limits on Schottky Surfaces,” Communications in Mathematical Physics, vol. 337, no. 2, pp. 727–765, 2015, doi: 10.1007/s00220-015-2359-z.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31294
T. Weich, “Equivariant spectral asymptotics forh-pseudodifferential operators,” Journal of Mathematical Physics, vol. 55, no. 10, Art. no. 101501, 2014, doi: 10.1063/1.4896698.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31296
S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum,” Nonlinearity, vol. 27, no. 8, pp. 1829–1858, 2014, doi: 10.1088/0951-7715/27/8/1829.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 31297
T. Weich, S. Barkhofen, U. Kuhl, C. Poli, and H. Schomerus, “Formation and interaction of resonance chains in the open three-disk system,” New Journal of Physics, vol. 16, no. 3, Art. no. 033029, 2014, doi: 10.1088/1367-2630/16/3/033029.
LibreCat
| DOI
| arXiv
2013 | Journal Article | LibreCat-ID: 31298
S. Barkhofen, T. 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, vol. 110, no. 16, Art. no. 164102, 2013, doi: 10.1103/physrevlett.110.164102.
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| DOI
| arXiv