This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, presents all of the major areas of ergodic theory, including recent developments in the Sarnak conjecture via ergodic theory tools, the entropy theory for nonamenable group actions, and interval exchange transformations. In addition, the new edition features expanded coverage of Poisson dynamical systems as a part of dynamical systems of probabilistic origin, as well as the interplay of ergodic theory with operator algebras and new applications to billiards and surface dynamics.
Addresses the latest developments in the field
Provides comprehensive references to classic papers as well as the most recent literature
Includes in-depth, essay-length chapters on key topics
Cesar Silva
Sarnak conjecture entropy theory for nonamenable group actions interval exchange transformations Poisson dynamical systems dynamical systems of probabilistic origin