Combinatorial Constructions in Ergodic Theory and Dynamics (University Lecture Series)

About this book

This part contains a definitive account of the general concept of periodic approximation (Sections 1 and 5), its applications to establishing genericity of various ergodic properties in a variety of categories (Sections 2, 6 and 7), a description in the purely measurable setting of the construction at the core of the approximation by conjugations method (Section 8), and a selection of illustrations of how the periodic approximation method is used to study various subtle, primarily spectral, properties of measure-preserving transformations (Sections 3 and 4).