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Basic Ergodic Theory (Birkhäuser Advanced Texts Basler Lehrbücher) by M. G. Nadkarni (auth.) is a nonfiction available to read on EtoBox.

What is Basic Ergodic Theory (Birkhäuser Advanced Texts Basler Lehrbücher) about?

This is an introductory book on ergodic theory. The presentation has a slow pace and the book can be read by anyone with a background in basic measure theory and metric topology. In particular, the first two chapters, the elements of ergodic theory, can form a course of four to six lectures at the advanced undergraduate or the beginning graduate level. A new feature of the book is that the basic topics of ergodic theory such as the Poincaré recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics centering around the Glimm-Effros theorem are discussed, topics which have so far not found a place in texts on ergodic theory. In this second edition, a section on rank one automorphisms and a brief discussion of the ergodic theorem due to Wiener and Wintner have been added. "This relatively short book is, for anyone new to ergodic theory, admirably broad in scope. The exposition is clear, and the brevity of the book has not been achieved by giving terse pro

Who reads Basic Ergodic Theory (Birkhäuser Advanced Texts Basler Lehrbücher)?

Author

M. G. Nadkarni (auth.)

Publisher

Birkhäuser, Birkhäuser Basel, Imprint

Published

1995

Language

EN

ISBN

9783034897952

Category

nonfiction

Subjects

Mathematics, Stem