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40 Publications
2024 | Journal Article | LibreCat-ID: 32097 | 
T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov Actions,” Journal of Differential Geometry (to appear) -- arXiv:2103.12127, 2024.
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| arXiv
2024 | Journal Article | LibreCat-ID: 32101 |
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
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2024 | Journal Article | LibreCat-ID: 52876
C. Arends, L. L. Wolf, J. Meinecke, S. Barkhofen, T. Weich, and T. Bartley, “Decomposing large unitaries into multimode devices of arbitrary size,” Physical Review Research, vol. 6, no. 1, Art. no. L012043, 2024, doi: 10.1103/physrevresearch.6.l012043.
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| DOI
2023 | Journal Article | LibreCat-ID: 31189
T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric spaces,” Communications in Mathematical Physics, vol. 403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 31059
P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical Physics, vol. 398, pp. 655–678, 2023, doi: ttps://doi.org/10.1007/s00220-022-04538-z.
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| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 51521 |
J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor resonances of Anosov actions.” 2023.
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2023 | Journal Article | LibreCat-ID: 53410
B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” Annales Henri Poincaré, vol. 25, no. 2, pp. 1607–1656, 2023, doi: 10.1007/s00023-023-01379-x.
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| DOI
2022 | Journal Article | LibreCat-ID: 31193
M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré, vol. 23, no. 4, pp. 1283–1296, 2022, doi: 10.1007/s00023-021-01121-5.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35306
Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds with hyperbolic cusps,” Journal of the European Mathematical Society, vol. 24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.
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| DOI
2022 | Journal Article | LibreCat-ID: 31057
S. Barkhofen, P. Schütte, and T. Weich, “Semiclassical formulae For Wigner distributions,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 24, Art. no. 244007, 2022, doi: 10.1088/1751-8121/ac6d2b.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 35322
K.-U. Bux, J. Hilgert, and T. Weich, “Poisson transforms for trees of bounded degree,” Journal of Spectral Theory, vol. 12, no. 2, pp. 659–681, 2022, doi: 10.4171/jst/414.
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| DOI
2022 | Journal Article | LibreCat-ID: 51385
J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded degree,” J. of Spectral Theory, vol. 12, pp. 659–681, 2022.
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2021 | Preprint | LibreCat-ID: 32099 |
T. Weich and J. Budde, “Wave Front Sets of Nilpotent Lie Group Representations,” arXiv:2103.02968v1. 2021.
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2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
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| DOI
| arXiv
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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| DOI
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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| DOI
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 31300
A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski, “Weyl asymptotics: From closed to open systems,” Physical Review E, vol. 86, no. 6, Art. no. 066205, 2012, doi: 10.1103/physreve.86.066205.
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| DOI
| arXiv