# American Institute of Mathematical Sciences

January  2007, 1(1): 1-35. doi: 10.3934/jmd.2007.1.1

## Open problems in dynamics and related fields

 1 172 Sloan, Caltech, Pasadena, CA 91125, United States

Received  March 2006 Revised  April 2006 Published  October 2006

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.
Citation: Alexander Gorodnik. Open problems in dynamics and related fields. Journal of Modern Dynamics, 2007, 1 (1) : 1-35. doi: 10.3934/jmd.2007.1.1
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