Open problems in dynamics and related fields

Alexander Gorodnik

doi:10.3934/jmd.2007.1.1

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2007, Volume 1, Issue 1: 1-35. Doi: 10.3934/jmd.2007.1.1

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Open problems in dynamics and related fields

Alexander Gorodnik^1,

1.
172 Sloan, Caltech, Pasadena, CA 91125

Received: March 2006

Revised: April 2006

Published: October 2006

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Abstract

The paper discusses a number of open questions,which were collected during the AIM workshop “Emerging applications of measure rigidity”. The main emphasis is made on the rigidity problems in the theory of dynamical systems and their connections with Diophantine approximation, arithmetic geometry, and quantum chaos.

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Mathematics Subject Classification: Primary: 37-02; Secondary: 11-02, 14-02, 81-02.

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