This book, titled "Ergodic Theory on Compact Spaces," is part of the Lecture Notes in Mathematics series, edited by A. Dold and B. Eckmann. It is authored by Manfred Denker, Christian Grillenberger, and Karl Sigmund. The book was published by Springer-Verlag in 1976. The content covers various aspects of ergodic theory, focusing on compact spaces. It includes topics such as measure-theoretical dynamical systems, information and entropy, topological entropy, expansive homeomorphisms, subshifts of finite type, and embedding theorems for aperiodic transformations. The book also discusses specific results like Krieger's theorem and the embedding theorem of Jewett and Krieger. The structure of the book is organized into chapters, each delving into specific areas of ergodic theory, with a detailed bibliography, index, and list of symbols provided at the end.This book, titled "Ergodic Theory on Compact Spaces," is part of the Lecture Notes in Mathematics series, edited by A. Dold and B. Eckmann. It is authored by Manfred Denker, Christian Grillenberger, and Karl Sigmund. The book was published by Springer-Verlag in 1976. The content covers various aspects of ergodic theory, focusing on compact spaces. It includes topics such as measure-theoretical dynamical systems, information and entropy, topological entropy, expansive homeomorphisms, subshifts of finite type, and embedding theorems for aperiodic transformations. The book also discusses specific results like Krieger's theorem and the embedding theorem of Jewett and Krieger. The structure of the book is organized into chapters, each delving into specific areas of ergodic theory, with a detailed bibliography, index, and list of symbols provided at the end.