@article{64641, author = {{Glöckner, Helge}}, issn = {{0092-7872}}, journal = {{Communications in Algebra}}, keywords = {{22E50, 20D35, 20E06}}, number = {{7}}, pages = {{2981–2988}}, title = {{{The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup}}}, doi = {{10.1080/00927872.2015.1065859}}, volume = {{44}}, 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}}, } @inproceedings{31368, author = {{Hilgert, Joachim and Hoffmann, Max and Panse, Anja}}, booktitle = {{Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik.}}, editor = {{Paravicini, Walther and Schnieder, Jörn}}, pages = {{23–26}}, publisher = {{WTM-Verlag}}, title = {{{Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten}}}, year = {{2015}}, } @book{31373, author = {{Hilgert, Joachim and Hoffmann, Max and Panse, Anja}}, isbn = {{9783662455111}}, publisher = {{Springer}}, title = {{{Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent}}}, doi = {{10.1007/978-3-662-45512-8}}, year = {{2015}}, } @article{38037, author = {{Rösler, Margit and Voit, Michael}}, issn = {{1815-0659}}, journal = {{Symmetry, Integrability and Geometry: Methods and Applications}}, keywords = {{Geometry and Topology, Mathematical Physics, Analysis}}, number = {{013}}, pages = {{18pp}}, publisher = {{SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}}, title = {{{A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian}}}, doi = {{10.3842/sigma.2015.013}}, volume = {{11}}, year = {{2015}}, } @unpublished{64738, author = {{Glöckner, Helge}}, title = {{{Fundamentals of submersions and immersions between infinite-dimensional manifolds}}}, year = {{2015}}, } @unpublished{64737, author = {{Glöckner, Helge}}, title = {{{Measurable regularity properties of infinite-dimensional Lie groups}}}, year = {{2015}}, } @unpublished{64761, author = {{Eyni, Jan Milan}}, title = {{{A Lie group structure on the group of real analytic diffeomorphisms of a compact real analytic manifold with corners}}}, year = {{2015}}, } @unpublished{64766, author = {{Nikitin, Natalie}}, title = {{{Exponential laws for weighted function spaces and regularity of weighted mapping groups}}}, year = {{2015}}, } @article{64749, author = {{Alzaareer, Hamza and Schmeding, Alexander}}, issn = {{0723-0869}}, journal = {{Expositiones Mathematicae}}, keywords = {{46E50, 26E15, 34A12, 26E25, 46T05}}, number = {{2}}, pages = {{184–222}}, title = {{{Differentiable mappings on products with different degrees of differentiability in the two factors}}}, doi = {{10.1016/j.exmath.2014.07.002}}, volume = {{33}}, year = {{2015}}, } @article{64752, author = {{Schmeding, A.}}, issn = {{0012-3862}}, journal = {{Dissertationes Mathematicae}}, keywords = {{58D05, 22E65, 46T05, 57R18, 53C20}}, pages = {{179}}, title = {{{The diffeomorphism group of a non-compact orbifold}}}, doi = {{10.4064/dm507-0-1}}, volume = {{507}}, year = {{2015}}, } @article{64665, author = {{Dahmen, Rafael and Glöckner, Helge}}, issn = {{0001-6969}}, journal = {{Acta Scientiarum Mathematicarum}}, keywords = {{34G20, 34C11, 34A12}}, number = {{3-4}}, pages = {{457–468}}, title = {{{Bounded solutions of finite lifetime to differential equations in Banach spaces}}}, doi = {{10.14232/actasm-014-271-7}}, volume = {{81}}, 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}}, } @inproceedings{31369, author = {{Panse, Anja and Hilgert, Joachim and Hoffmann, Max}}, booktitle = {{Beiträge zum Mathematikunterricht 2014}}, editor = {{Roth, Jürgen and Ames, Judith}}, pages = {{883–886}}, publisher = {{WTM-Verlag}}, title = {{{Handlungsbedarf in fachmathematischen Veranstaltungen? – Spezielle Maßnahmen an der Universität Paderborn}}}, doi = {{10.17877/DE290R-15591}}, year = {{2014}}, } @article{51394, author = {{Hilgert, Joachim and Möllers, J. and Kobayashi, T.}}, journal = {{J. Math. Soc. Japan}}, pages = {{349--414}}, title = {{{Minimal representations via Bessel operators}}}, volume = {{66}}, year = {{2014}}, } @article{51393, author = {{Hilgert, Joachim and Wurzbacher, T. and Alldridge, A.}}, journal = {{Math. Z.}}, pages = {{441--492}}, title = {{{Singular superspaces}}}, volume = {{278}}, year = {{2014}}, } @inbook{51466, author = {{Hilgert, Joachim and Ólafsson, G.}}, booktitle = {{Developments and Retrospectives in Lie Theory - Geometric and Analytic Methods}}, editor = {{Mason, G. and Penkov, I. and Wolf, J.A.}}, publisher = {{Springer}}, title = {{{The Radon transform and its dual for limits of symmetric spaces}}}, volume = {{37}}, year = {{2014}}, } @inbook{51465, author = {{Hilgert, Joachim and Hoffmann, M. and Panse, A.}}, booktitle = {{Beiträge zum Mathematikunterricht 2014}}, editor = {{Roth, J. and Ames, J.}}, publisher = {{WTM Verlag}}, title = {{{Schwierigkeiten von Studienanfängern, verschiedene Lehrmethoden und Fragen an die Didaktik}}}, 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}}, }