Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces (Oxford Science Publications) pdf epub fb2

Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces (Oxford Science Publications) by - epub fb2 djvu

Author: -
Title: Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces (Oxford Science Publications)
ISBN: 0198596855
ISBN13: 978-0198596851
Other Formats: doc mbr azw rtf
Pages: 388 pages
Publisher: Oxford University Press (May 9, 1991)
Language: English
Size EPUB version: 1881 kb
Size FB2 version: 1414 kb
Category: Science & Math
Subcategory: Mathematics

This textbook provides an introductory survey of the interaction between ergodic theory and hyperbolic geometry suitable for postgraduate students coming to these subjects for the first time. The aim of the volume is to explore the rich interplay between the two subjects and to present some of the new directions that research has taken. The chapters are all written by experts in their respective fields and the editors have gone to great pains to ensure that the volume as a whole provides an accessible and up-to-date introduction to a very active area of research. As a result it will form essential reading for all those embarking on research in this subject as well as for those whose current research touches on topics covered here. Prerequisites are little more than a familiarity with the basics of topology, analysis, and group theory as might be gained from an undergraduate degree course. Early chapters present an introduction to the fundamental concepts of hyperbolic geometry and ergodic theory. Subsequent chapters develop more advanced topics such as explicit coding methods, symbolic dynamics, the theory of nuclear operators as applied to the Ruelle-Perron-Frobenius (or transfer) operator, the Patterson measure, and the connections with finiteness phenomena in the structure of hyperbolic groups and Gromov's theory of hyperbolic spaces.

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