SU\G(𝔾)/K·U

Joint quasimodes, positive entropy, and quantum unique ergodicity

Shimon Brooks, Elon Lindenstrauss

Type: Article

Publication Date: 2014-02-28

Citations: 36

DOI: https://doi.org/10.1007/s00222-014-0502-7

Locations

  • arXiv (Cornell University) - View - PDF
  • CiteSeer X (The Pennsylvania State University) - View - PDF
  • Inventiones mathematicae - View

Similar Works

Action Title Year Authors
+ PDF Chat The Eigenvector Moment Flow and Local Quantum Unique Ergodicity 2016 Paul Bourgade
H. T. Yau
+ Quantum ergodic theorems 1984 Dėnes Petz
+ Transitivity and ergodicity of quantum systems 1988 Heide Narnhofer
Walter Thirring
H. Wiklicky
+ Quantum Unique Ergodicity and Random Waves on Graphs 2016
+ Weak quantum ergodicity 1998 L. Kaplan
Eric J. Heller
+ Ergodicity in classical and quantum statistical mechanics 1976 W. Guz
+ The Ergodic Theorem in Quantum Statistical Mechanics 1963
+ PDF Chat Ergodic dynamics and thermalization in an isolated quantum system 2016 C. Neill
P. Roushan
M.T.C. Fang
Yu Chen
Michael Kolodrubetz
Z. Chen
A. Megrant
R. Barends
B. Campbell
B. Chiaro
+ Ergodic Properties in Quantum Systems 1992 Walter Thirring
+ Ergodic quantum Markov semigroups and decoherence 2014 Raffaella Carbone
E. Sasso
Veronica UmanitĂ 
+ ERGODIC THEOREM IN QUANTUM MECHANICS 1950 O.A. Varsavsky
+ Quantum Ergodicity and Mixing 2005 Steve Zelditch
+ Ergodic theory, randomness, and dynamical systems 1974 Donald Ornstein
+ PDF Chat Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions 2022 Nalini Anantharaman
+ PDF Chat Ergodic Quantum Computing 2005 Dominik Janzing
PaweƂ Wocjan
+ On Quantum Unique Ergodicity for Locally Symmetric Spaces 2007 Lior Silberman
Akshay Venkatesh
+ PDF Chat Towards a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems 2013 Ignacio S. Gomez
Mario Castagnino
+ PDF Chat Adelic Dynamics and Arithmetic Quantum Unique Ergodicity 2004 Elon Lindenstrauss
+ ERGODICITY, PURE STATES ULTRAMETRICITY AND FLUCTUATION-DISSIPATION THEOREM 1986
+ Ergodic theory, irreversibility and relativistic symmetry 1993 Ben Romanin

Works That Cite This (35)

Action Title Year Authors
+ PDF Chat Small Scale Equidistribution of Random Eigenbases 2016 Xiaolong Han
+ PDF Chat Positive Entropy Using Hecke Operators at a Single Place 2020 Zvi Shem‐Tov
+ PDF Chat Strong Scarring of Logarithmic Quasimodes 2017 Suresh Eswarathasan
Stéphane Nonnenmacher
+ PDF Chat Quantum Ergodicity and Averaging Operators on the Sphere 2015 Shimon Brooks
E. Masson
Elon Lindenstrauss
+ PDF Chat Lp Norms of Eigenfunctions on Regular Graphs and on the Sphere 2018 Shimon Brooks
E. Masson
+ PDF Chat Delocalisation of eigenfunctions on large genus random surfaces 2022 Joe Thomas
+ PDF Chat Quantum ergodicity and Benjamini–Schramm convergence of hyperbolic surfaces 2017 E. Masson
Tuomas Sahlsten
+ Quantum Ergodicity and Averaging Operators on the Sphere 2015 Shimon Brooks
E. Masson
Elon Lindenstrauss
+ Eisenstein Quasimodes and Semiclassical Behavior of Expectation Values 2022 Shimon Brooks
+ Macroscopic limits of chaotic eigenfunctions 2021 Semyon Dyatlov

Works Cited by This (32)

Action Title Year Authors
+ Discrete Subgroups of Lie Groups 1972 M. S. Raghunathan
+ Lectures on modular correspondences 1955 Martin Eichler
+ Quantum unique ergodicity for SL_2(Z)\H 2009 K. Soundararajan
+ PDF Chat Scarring on Invariant Manifolds for Perturbed Quantized Hyperbolic Toral Automorphisms 2007 Dubi Kelmer
+ PDF Chat Spectra of hyperbolic surfaces 2003 Peter Sarnak
+ Entropy of Quantum Limits 2003 Jean Bourgain
Elon Lindenstrauss
+ PDF Chat Partially localized quasimodes in large subspaces 2013 Shimon Brooks
+ PDF Chat Entropy of Semiclassical Measures of the Walsh-Quantized Baker’s Map 2006 Nalini Anantharaman
Stéphane Nonnenmacher
+ L ∞ Norms of Eigenfunctions of Arithmetic Surfaces 1995 Henryk Iwaniec
Peter Sarnak
+ PDF Chat Invariant measures and arithmetic quantum unique ergodicity 2006 Elon Lindenstrauss