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Spectral Analysis Group at Paderborn University

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Paderborn University: Paderborn, DE

Full Professor (Institute of Mathematics and Institute of Photonic Qunatum Systems)
Employment
Source: Self-asserted source
Tobias Weich

Works (24)

Spectral correspondences for finite graphs without dead ends

Indagationes Mathematicae
2025-01 | Journal article
DOI: 10.1016/j.indag.2024.05.001
Contributors: K.-U. Bux; J. Hilgert; T. Weich
Source: check_circle
Crossref

Wave front sets of nilpotent Lie group representations

Journal of Functional Analysis
2025-01 | Journal article
DOI: 10.1016/j.jfa.2024.110684
Contributors: Julia Budde; Tobias Weich
Source: check_circle
Crossref

Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models

Annales Henri Poincaré
2024-02 | Journal article
DOI: 10.1007/s00023-023-01379-x
Contributors: Benjamin Delarue; Philipp Schütte; Tobias Weich
Source: check_circle
Crossref

Decomposing large unitaries into multimode devices of arbitrary size

Physical Review Research
2024-02-29 | Journal article
DOI: 10.1103/PhysRevResearch.6.L012043
Contributors: Christian Arends; Lasse Wolf; Jasmin Meinecke; Sonja Barkhofen; Tobias Weich; Tim J. Bartley
Source: check_circle
Crossref

Ruelle–Taylor resonances of Anosov actions

Journal of the European Mathematical Society
2024-02-15 | Journal article
DOI: 10.4171/jems/1428
Contributors: Yannick Guedes Bonthonneau; Colin Guillarmou; Joachim Hilgert; Tobias Weich
Source: check_circle
Crossref

Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems

Communications in Mathematical Physics
2023-03 | Journal article
DOI: 10.1007/s00220-022-04538-z
Contributors: Philipp Schütte; Tobias Weich; Sonja Barkhofen
Source: check_circle
Crossref

Semiclassical formulae for Wigner distributions

Journal of Physics A: Mathematical and Theoretical
2022-06-17 | Journal article
DOI: 10.1088/1751-8121/ac6d2b
Contributors: Sonja Barkhofen; Philipp Schütte; Tobias Weich
Source: check_circle
Crossref

Ruelle–Pollicott resonances for manifolds with hyperbolic cusps

Journal of the European Mathematical Society
2021-09-21 | Journal article
DOI: 10.4171/jems/1103
Part of ISSN: 1435-9855
Contributors: Yannick Guedes Bonthonneau; Tobias Weich
Source: Self-asserted source
Tobias Weich

Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces

International Mathematics Research Notices
2021-05-24 | Journal article
DOI: 10.1093/imrn/rnz068
Part of ISSN: 1073-7928
Part of ISSN: 1687-0247
Source: Self-asserted source
Tobias Weich

High frequency limits for invariant Ruelle densities

Annales Henri Lebesgue
2021-01-18 | Journal article
DOI: 10.5802/ahl.67
Part of ISSN: 2644-9463
Source: Self-asserted source
Tobias Weich

Pollicott-Ruelle Resonant States and Betti Numbers

Communications in Mathematical Physics
2020-09-22 | Journal article
DOI: 10.1007/s00220-020-03793-2
Contributors: Benjamin Küster; Tobias Weich
Source: check_circle
Crossref

Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich

Journal of the European Mathematical Society
2019-02-01 | Journal article
DOI: 10.4171/jems/867
Part of ISSN: 1435-9855
Source: Self-asserted source
Tobias Weich

Classical and quantum resonances for hyperbolic surfaces

Mathematische Annalen
2018-04-06 | Journal article
DOI: 10.1007/s00208-017-1576-5
Contributors: Colin Guillarmou; Joachim Hilgert; Tobias Weich
Source: check_circle
Crossref

Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps

Communications in Mathematical Physics
2017-12 | Journal article
DOI: 10.1007/s00220-017-3000-0
Part of ISSN: 0010-3616
Part of ISSN: 1432-0916
Source: Self-asserted source
Tobias Weich

Wave front sets of reductive Lie group representations III

Advances in Mathematics
2017-06 | Journal article
DOI: 10.1016/j.aim.2017.03.025
Part of ISSN: 0001-8708
Source: Self-asserted source
Tobias Weich

Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions

J. Spectr. Theory
2016 | Journal article
DOI: 10.4171/jst/125
Contributors: David Borthwick; Tobias Weich
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows

Ann. Henri Poincaré
2016-07 | Journal article
DOI: 10.1007/s00023-016-0514-5
Contributors: Tobias Weich
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps

Ergod. Th. Dynam. Sys.
2015-10-07 | Journal article
DOI: 10.1017/etds.2015.34
Contributors: JEAN FRANCOIS ARNOLDI; FRÉDÉRIC FAURE; TOBIAS WEICH
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Resonance Chains and Geometric Limits on Schottky Surfaces

Commun. Math. Phys.
2015-04-07 | Journal article
DOI: 10.1007/s00220-015-2359-z
Contributors: Tobias Weich
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Equivariant spectral asymptotics for h-pseudodifferential operators

J. Math. Phys.
2014-10 | Journal article
DOI: 10.1063/1.4896698
Contributors: Tobias Weich
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum

Nonlinearity
2014-07 | Journal article
DOI: 10.1088/0951-7715/27/8/1829
Contributors: S Barkhofen; F Faure; T Weich
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Formation and interaction of resonance chains in the open three-disk system

New J. Phys.
2014-03 | Journal article
DOI: 10.1088/1367-2630/16/3/033029
Contributors: T Weich; S Barkhofen; U Kuhl; C Poli; H Schomerus
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Experimental Observation of the Spectral Gap in Microwave n -Disk Systems

Phys. Rev. Lett.
2013-04 | Journal article
DOI: 10.1103/physrevlett.110.164102
Contributors: S. Barkhofen; T. Weich; A. Potzuweit; H.-J. Stöckmann; U. Kuhl; M. Zworski
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Weyl asymptotics: From closed to open systems

Phys. Rev. E
2012 | Journal article
DOI: 10.1103/physreve.86.066205
Contributors: A. Potzuweit; T. Weich; S. Barkhofen; U. Kuhl; H.-J. Stöckmann; M. Zworski
Source: Self-asserted source
Tobias Weich via Crossref Metadata Search

Peer review (4 reviews for 2 publications/grants)

Review activity for Annales Henri Poincaré : (1)
Review activity for Communications in Mathematical Physics. (3)
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