Around quantum ergodicity

Abstract

We discuss Shnirelman's Quantum Ergodicity Theorem, giving an outline of a proof and an overview of some of the recent developments in mathematical Quantum Chaos.

arXiv comment18 pages, 3 figures; minor revisions following the referee's comments. To appear special issue of Annales Mathématiques du Québec in honor of Alexander Shnirelman's 75th birthday

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Cited by in corpus (2)

• Semiclassical measures for higher dimensional quantum cat maps
• Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on ${\mathrm{SL}}_2(\mathbb{Z})\backslash {\mathrm{SL}}_2(\mathbb{R})$