Scarring on Invariant Manifolds for Perturbed Quantized Hyperbolic Toral Automorphisms

Dubi Kelmer

Type: Article

Publication Date: 2007-09-03

Citations: 12

DOI: https://doi.org/10.1007/s00220-007-0331-2

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Long Time Propagation and Control on Scarring for Perturbed Quantized Hyperbolic Toral Automorphisms	2005	Jean‐Marc Bouclet Stephan De Bièvre
+	Controlling strong scarring for quantized ergodic toral automorphisms	2003	Francesco Bonechi Stephan De Bièvre
+	Controlling strong scarring for quantized ergodic toral automorphisms	2002	Francesco Bonechi Stephan De Bièvre
+ PDF Chat	On the Maximal Scarring for Quantum Cat Map Eigenstates	2004	Frédéric Faure S. Nonnenmacher
+	Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus	2005	Dubi Kelmer
+	Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus	2005	Dubi Kelmer
+ PDF Chat	Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus	2010	Dubi Kelmer
+	Homoclinic processes and invariant measures for hyperbolic toral automorphisms	2010	Mikhail Gordin
+	Rigidity of measures on the torus: smooth stabilizers and entropy	2010	Aaron Brown
+	Rigidity of measures on the torus: smooth stabilizers and entropy	2010	Aaron Brown
+	Ergodic properties of quantized toral automorphisms	1995	Sławomir Klimek A. Leśniewski Neepa T. Maitra Ron Rubin
+ PDF Chat	Scarring for quantum maps with simple spectrum	2011	Dubi Kelmer
+	Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales	2020	Xiaolong Han
+	Kolmogorov tori of perturbations of integrable reversible diffeomorphisms and vectorfields	1986	Mikhail B. Sevryuk
+ PDF Chat	On Quantum Ergodicity for Linear Maps of the Torus	2001	P. Kurlberg Ze x E v Rudnick
+ PDF Chat	Upper Bounds on the Rate of Quantum Ergodicity	2006	Roman Schubert
+ PDF Chat	Quantisations of Piecewise Parabolic Maps on the Torus and their Quantum Limits	2008	Cheng-Hung Chang Tyll Krüger Roman Schubert Serge Troubetzkoy
+ PDF Chat	Scarred Eigenstates for Quantum Cat Maps of Minimal Periods	2003	Frédéric Faure Stéphane Nonnenmacher Stephan De Bièvre
+ PDF Chat	Ergodic properties of quantized toral automorphisms	1997	Sławomir Klimek Andrzej Leśniewski Neepa T. Maitra Ron Rubin
+	Hyperbolicity, semigroup actions, and their role in the theory of complex dynamical systems	2020	Lorenzo Guerini

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	On the Fluctuations of Matrix Elements of the Quantum Cat Map	2010	Lior Rosenzweig
+ PDF Chat	Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold	2007	Nalini Anantharaman Stéphane Nonnenmacher
+ PDF Chat	Quantisations of Piecewise Parabolic Maps on the Torus and their Quantum Limits	2008	Cheng-Hung Chang Tyll Krüger Roman Schubert Serge Troubetzkoy
+ PDF Chat	Resonant eigenstates for a quantized chaotic system	2007	Stéphane Nonnenmacher Mathieu Rubin
+ PDF Chat	Joint quasimodes, positive entropy, and quantum unique ergodicity	2014	Shimon Brooks Elon Lindenstrauss
+ PDF Chat	Scarring for quantum maps with simple spectrum	2011	Dubi Kelmer
+ PDF Chat	Maximal scarring for eigenfunctions of quantum graphs	2018	Gregory Berkolaiko Brian Winn
+ PDF Chat	Partially localized quasimodes in large subspaces	2013	Shimon Brooks
+	Joint Quasimodes, Positive Entropy, and Quantum Unique Ergodicity	2011	Shimon Brooks Elon Lindenstrauss
+	On the fluctuations of matrix elements of the quantum cat map	2009	Lior Rosenzweig

Works Cited by This (14)

Action	Title	Year	Authors
+	Lectures on partial hyperbolicity and stable ergodicity	2004	Yakov Pesin
+ PDF Chat	Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus	2010	Dubi Kelmer
+ PDF Chat	Equipartition of the eigenfunctions of quantized ergodic maps on the torus	1996	A. Bouzouina Stephan De Bièvre
+ PDF Chat	Hecke theory and equidistribution for the quantization of linear maps of the torus	2000	Pär Kurlberg Zeév Rudnick
+	On the quantisation of Arnold's cat	1990	Stefan Knabe
+ PDF Chat	Invariant measures and arithmetic quantum unique ergodicity	2006	Elon Lindenstrauss
+	Controlling strong scarring for quantized ergodic toral automorphisms	2003	Francesco Bonechi Stephan De Bièvre
+	Mathematical Aspects of Quantum Maps	2007	Mirko Degli Esposti Sandro Graffi
+ PDF Chat	Long Time Propagation and Control on Scarring for Perturbed Quantized Hyperbolic Toral Automorphisms	2005	Jean‐Marc Bouclet Stephan De Bièvre
+	Uniform distribution of eigenfunctions on compact hyperbolic surfaces	1987	Steven Zelditch