Dynamics, Ergodic Theory, and Geometry. Mathematical Sciences Research Institute Publications, Volume 54. (Electronic book text)

Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop on 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial progress. One of the major surveys is on symplectic geometry, which is closely related to classical mechanics and is an exciting addition to modern geometry as well as a research area that has recently experienced explosive growth. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this a fascinating look at the state of the art.