Title: Dynamical systems, ergodic theory, and applications /
Authors: Bunimovich, L. A.; Sinaĭ, I︠A︡. G.
Date: 2000
Publisher: Springer,
Physical description: x, 459 pages : illustrations ; 24 cm.
Language: English
LC classification: Q
Abstract: "This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. The ergodic theory of smooth dynamical systems is treated. Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations."--Jacket.
Contents: I. General ergodic theory of groups of measure preserving transformations -- II. Ergodic theory of smooth dynamical systems -- III. Dynamical systems on homogeneous spaces -- IV. The dynamics of billiard flows in rational polygons -- V. Dynamical systems of statistical mechanics and kinetic equations.
Notes: First ed.: Ergodic theory with applications to dynamical systems and statistical mechanics. "The first edition of this book was published as Dynamical systems II, Volume 2 of the Encyclopaedia of Mathematical Sciences." Translated from the Russian.
Subject headings (LCSH): Celestial mechanics.; Differentiable dynamical systems.; Ergodic theory.; Mathematical physics.; Mechanics, Analytic.