This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. 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. 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. 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. Researchers in ergodic theory and related areas will also find the book valuable as a reference.
This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. 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. 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. 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. Researchers in ergodic theory and related areas will also find the book valuable as a reference.
Lei Ao, who was born with the possession of a vicious beast, possessed a power that even he couldn't control. After unintentionally obtaining the Bloodthirsty Demon Saber, his fate had been completely changed. You have a magical equipment? I stole from you! Do you have an unparalleled divine art? It's still you! The number one beauty in the world? You will chase after him if you have something to eat! The most handsome guy in the world? I'll turn you into a pig head right now! Wielding the Bloodthirsty Demon Saber, stepping on the Fifth Constellation Diagram, using the Heaven Collapsing Hand to destroy the heaven and earth, using peerless domineering aura to descend upon the cultivation world! The previous book (Monarch of this world) has been completed. Please be at ease with your collection of new books! Close]
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.