@article{31268,
author = {{Faure, Frédéric and Weich, Tobias}},
issn = {{0010-3616}},
journal = {{Communications in Mathematical Physics}},
keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{3}},
pages = {{755--822}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps}}},
doi = {{10.1007/s00220-017-3000-0}},
volume = {{356}},
year = {{2017}},
}
@article{31272,
author = {{Harris, Benjamin and Weich, Tobias}},
issn = {{0001-8708}},
journal = {{Advances in Mathematics}},
keywords = {{General Mathematics}},
pages = {{176--236}},
publisher = {{Elsevier BV}},
title = {{{Wave front sets of reductive Lie group representations III}}},
doi = {{10.1016/j.aim.2017.03.025}},
volume = {{313}},
year = {{2017}},
}
@article{31267,
author = {{Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}},
issn = {{0025-5831}},
journal = {{Mathematische Annalen}},
keywords = {{General Mathematics}},
number = {{3-4}},
pages = {{1231--1275}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Classical and quantum resonances for hyperbolic surfaces}}},
doi = {{10.1007/s00208-017-1576-5}},
volume = {{370}},
year = {{2017}},
}
@article{32020,
author = {{Küster, Benjamin}},
issn = {{0232-704X}},
journal = {{Annals of Global Analysis and Geometry}},
keywords = {{Geometry and Topology, Analysis}},
number = {{1}},
pages = {{57--97}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On the semiclassical functional calculus for h-dependent functions}}},
doi = {{10.1007/s10455-017-9549-1}},
volume = {{52}},
year = {{2017}},
}
@article{32022,
author = {{Küster, Benjamin and Ramacher, Pablo}},
issn = {{0022-1236}},
journal = {{Journal of Functional Analysis}},
keywords = {{Analysis}},
number = {{1}},
pages = {{41--124}},
publisher = {{Elsevier BV}},
title = {{{Quantum ergodicity and symmetry reduction}}},
doi = {{10.1016/j.jfa.2017.02.013}},
volume = {{273}},
year = {{2017}},
}
@article{31274,
author = {{Borthwick, David and Weich, Tobias}},
issn = {{1664-039X}},
journal = {{Journal of Spectral Theory}},
keywords = {{Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{2}},
pages = {{267--329}},
publisher = {{European Mathematical Society - EMS - Publishing House GmbH}},
title = {{{Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions}}},
doi = {{10.4171/jst/125}},
volume = {{6}},
year = {{2016}},
}
@article{31289,
author = {{Weich, Tobias}},
issn = {{1424-0637}},
journal = {{Annales Henri Poincaré}},
keywords = {{Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics}},
number = {{1}},
pages = {{37--52}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}}},
doi = {{10.1007/s00023-016-0514-5}},
volume = {{18}},
year = {{2016}},
}
@article{31291,
abstract = {{We consider a simple model of an open partially expanding map. Its trapped set ${\mathcal{K}}$ in phase space is a fractal set. We first show that there is a well-defined discrete spectrum of Ruelle resonances which describes the asymptotic of correlation functions for large time and which is parametrized by the Fourier component $\unicode[STIX]{x1D708}$ in the neutral direction of the dynamics. We introduce a specific hypothesis on the dynamics that we call ‘minimal captivity’. This hypothesis is stable under perturbations and means that the dynamics is univalued in a neighborhood of ${\mathcal{K}}$. Under this hypothesis we show the existence of an asymptotic spectral gap and a fractal Weyl law for the upper bound of density of Ruelle resonances in the semiclassical limit $\unicode[STIX]{x1D708}\rightarrow \infty$. Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results.}},
author = {{ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias}},
issn = {{0143-3857}},
journal = {{Ergodic Theory and Dynamical Systems}},
keywords = {{Applied Mathematics, General Mathematics}},
number = {{1}},
pages = {{1--58}},
publisher = {{Cambridge University Press (CUP)}},
title = {{{Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps}}},
doi = {{10.1017/etds.2015.34}},
volume = {{37}},
year = {{2015}},
}
@article{31293,
author = {{Weich, Tobias}},
issn = {{0010-3616}},
journal = {{Communications in Mathematical Physics}},
keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{2}},
pages = {{727--765}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Resonance Chains and Geometric Limits on Schottky Surfaces}}},
doi = {{10.1007/s00220-015-2359-z}},
volume = {{337}},
year = {{2015}},
}
@article{31294,
author = {{Weich, Tobias}},
issn = {{0022-2488}},
journal = {{Journal of Mathematical Physics}},
keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{10}},
publisher = {{AIP Publishing}},
title = {{{Equivariant spectral asymptotics forh-pseudodifferential operators}}},
doi = {{10.1063/1.4896698}},
volume = {{55}},
year = {{2014}},
}
@article{32025,
author = {{Küster, Benjamin}},
journal = {{Communications in Mathematics}},
number = {{2}},
pages = {{141 -- 149}},
title = {{{Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra}}},
volume = {{22}},
year = {{2014}},
}
@article{31296,
author = {{Barkhofen, Sonja and Faure, F and Weich, Tobias}},
issn = {{0951-7715}},
journal = {{Nonlinearity}},
keywords = {{Applied Mathematics, General Physics and Astronomy, Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{8}},
pages = {{1829--1858}},
publisher = {{IOP Publishing}},
title = {{{Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}}},
doi = {{10.1088/0951-7715/27/8/1829}},
volume = {{27}},
year = {{2014}},
}
@article{31297,
author = {{Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}},
issn = {{1367-2630}},
journal = {{New Journal of Physics}},
keywords = {{General Physics and Astronomy}},
number = {{3}},
publisher = {{IOP Publishing}},
title = {{{Formation and interaction of resonance chains in the open three-disk system}}},
doi = {{10.1088/1367-2630/16/3/033029}},
volume = {{16}},
year = {{2014}},
}
@article{31298,
author = {{Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}},
issn = {{0031-9007}},
journal = {{Physical Review Letters}},
keywords = {{General Physics and Astronomy}},
number = {{16}},
publisher = {{American Physical Society (APS)}},
title = {{{Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}}},
doi = {{10.1103/physrevlett.110.164102}},
volume = {{110}},
year = {{2013}},
}
@article{31300,
author = {{Potzuweit, A. and Weich, Tobias and Barkhofen, Sonja and Kuhl, U. and Stöckmann, H.-J. and Zworski, M.}},
issn = {{1539-3755}},
journal = {{Physical Review E}},
keywords = {{Industrial and Manufacturing Engineering, Metals and Alloys, Strategy and Management, Mechanical Engineering}},
number = {{6}},
publisher = {{American Physical Society (APS)}},
title = {{{Weyl asymptotics: From closed to open systems}}},
doi = {{10.1103/physreve.86.066205}},
volume = {{86}},
year = {{2012}},
}