Ergodic Theory via Joinings

Introduction General group actions: Topological dynamics Dynamical systems on Lebesgue spaces Ergodicity and mixing properties Invariant measures on topological systems Spectral theory Joinings Some applications of joinings Quasifactors Isometric and weakly mixing extensions The Furstenberg-Zimmer structure theorem Host's theorem Simple systems and their self-joinings Kazhdan's property and the geometry of $M_{\Gamma}(\mathbf{X})$ Entropy theory for $\mathbb{Z}$-systems: Entropy Symbolic representations Constructions The relation between measure and topological entropy The Pinsker algebra, CPE and zero entropy systems Entropy pairs Krieger's and Ornstein's theorems Prerequisite background and theorems…