Combinatorial Constructions in Ergodic Theory and Dynamics (University Lecture Series)
Publisher: American Mathematical Society
Published: November 1, 2003
Language: eng
Format: Paperback
Number of pages: 121
ISBN-13: 9780821834961
Subjects: Calculus & mathematical analysis; Non-linear science; Science/Mathematics; Differentiable dynamical systems; Mathematics; Calculus; Differentiable dynamical syste; Combinatorial analysis; Ergodic theory
First sentence: 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).