Invitation to Ergodic Theory

Zusammenfassung Gives an introduction to basic concepts in ergodic theory such as recurrence! ergodicity! the ergodic theorem! mixing! and weak mixing. In particular! this book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Caratheodory extension theorem.

Zusammenfassung
Gives an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. In particular, this book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Caratheodory extension theorem.