Remarks on quantum ergodicity
Document type :
Article dans une revue scientifique: Article original
DOI :
Permalink :
Title :
Remarks on quantum ergodicity
Author(s) :
Journal title :
Journal of modern dynamics
Pages :
119-133
Publisher :
American Institute of Mathematical Sciences
Publication date :
2013-05-01
ISSN :
1930-5311
English keyword(s) :
eigenfunctions of the Laplacian
quantum ergodicity
nonuniform hyperbolicity
quantum ergodicity
nonuniform hyperbolicity
HAL domain(s) :
Mathématiques [math]/Théorie spectrale [math.SP]
Mathématiques [math]/Physique mathématique [math-ph]
Mathématiques [math]/Systèmes dynamiques [math.DS]
Mathématiques [math]/Physique mathématique [math-ph]
Mathématiques [math]/Systèmes dynamiques [math.DS]
English abstract : [en]
We prove a generalized version of the Quantum Ergodicity Theorem on smooth compact Riemannian manifolds without boundary. We apply it to prove some asymptotic properties on the distribution of typical eigenfunctions of the ...
Show more >We prove a generalized version of the Quantum Ergodicity Theorem on smooth compact Riemannian manifolds without boundary. We apply it to prove some asymptotic properties on the distribution of typical eigenfunctions of the Laplacian in geometric situations where the Liouville measure is not (or not known to be) ergodic.Show less >
Show more >We prove a generalized version of the Quantum Ergodicity Theorem on smooth compact Riemannian manifolds without boundary. We apply it to prove some asymptotic properties on the distribution of typical eigenfunctions of the Laplacian in geometric situations where the Liouville measure is not (or not known to be) ergodic.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Comment :
12 pages. Compared with previous version, some details added and presentation improved.
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Source :
Submission date :
2025-01-24T10:21:22Z
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