Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics

by L.A. Bunimovich (translator)

I. General Ergodic Theory of Groups of Measure Preserving Transformations.- 1. Basic Notions of Ergodic Theory and Examples of Dynamical Systems.- 2. Spectral Theory of Dynamical Systems.- 3. Entropy Theory of Dynamical Systems.- 4. Periodic Approximations and Their Applications. Ergodic Theorems, Spectral and Entropy Theory for the General Group Actions.- 5. Trajectory Theory.- II. Ergodic Theory of Smooth Dynamical Systems.- 6. Stochasticity of Smooth Dynamical Systems. The Elements of KAM-Theory.- 7. General Theory of Smooth Hyperbolic Dynamical Systems.- 8. Dynamical Systems of Hyperbolic Type with Singularities.- 9. Ergodic Theory of One-Dimensional Mappings.- III. Dynamical Systems of Statistical Mechanics and Kinetic Equations.- 10. Dynamical Systems of Statistical Mechanics.- 11. Existence and Uniqueness Theorems for the Boltzmann Equation.

296 pages, Paperback

First published December 13, 1996