Topics in Dynamics and Ergodic Theory

This Book Contains A Collection Of Survey Papers By Leading Researchers In Ergodic Theory Low-Dimensional And Topological Dynamics And It Comprises Nine Chapters On A Range Of Important Topics. These Include: The Role And Usefulness Of Ultrafilters In Ergodic Theory Topological Dynamics And Ramsey Theory; Topological Aspects Of Kneading Theory Together With An Analogous 2-Dimensional Theory Called Pruning; The Dynamics Of Markov Odometers Bratteli-Vershik Diagrams And Orbit Equivalence Of Non-Singular Automorphisms; Geometric Proofs Of Mather''S Connecting And Accelerating Theorems; Recent Results In One Dimensional Smooth Dynamics; Periodic Points Of Nonexpansive Maps; Arithmetic Dynamics; The Defect Of Factor Maps; Entropy Theory For Actions Of Countable Amenable Groups.