Ergodic Theory - Independence and Dichotomies Kerr David Professor of Cancer Medicine University of Oxford UK and Adjunct Professor of MedicinePevná vazba
Ergodic Theory - Independence and Dichotomies Kerr David Professor of Cancer Medicine University of Oxford UK and Adjunct Professor of MedicinePevná vazba This book provides an introduction to the…
Specifikacia Ergodic Theory - Independence and Dichotomies Kerr David Professor of Cancer Medicine University of Oxford UK and Adjunct Professor of MedicinePevná vazba
Ergodic Theory - Independence and Dichotomies Kerr David Professor of Cancer Medicine University of Oxford UK and Adjunct Professor of MedicinePevná vazba
This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy.The structure of the book is designed to be flexible enough to serve a variety of readers. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability.
Researchers in ergodic theory and related areas will also find the book valuable as a The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course.