Description
Book SynopsisThis volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems.
Table of ContentsIntroduction to Ergodic Theory Ergodic Theory: Basic Examples and Constructions Ergodicity and Mixing Properties Ergodic Theory: Recurrence Ergodic Theorems Spectral Theory of Dynamical Systems Joinings in Ergodic Theory Entropy in Ergodic Theory Isomorphism Theory in Ergodic Theory Dynamical Systems of Probabilistic Origin: Gaussian and Poisson Systems Ergodic Theory: Non-singular Transformations Sarnak’s Conjecture from the Ergodic Theory Point of View Smooth Ergodic Theory Ergodic and spectral theory of area-preserving flows on surfaces Pressure and Equilibrium States in Ergodic Theory Parallels Between Topological Dynamics and Ergodic Theory Symbolic Dynamics Operator ergodic theory Dynamical Systems and C-algebras The complexity and the structure and classification of Dynamical Systems Ergodic Theory: Interactions with Combinatorics and Number Theory Ergodic Theory on Homogeneous Spaces and Metric Number Theory Ergodic Theory: Rigidity Chaos and Ergodic Theory Ergodic Theory: Fractal Geometry
