Speciale Aanbieding Dynamical Systems II Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics – Ya.G. Sinai

Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented – hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully…