Title | Dynamical Systems II [electronic resource] : Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics / edited by Ya. G. Sinai |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989 |
Connect to | http://dx.doi.org/10.1007/978-3-662-06788-8 |
Descript | IX, 284 p. online resource |
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