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Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces by Michael Keane (1991, Trade Paperback)

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About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100198596855

ISBN-139780198596851

eBay Product ID (ePID)57623

Product Key Features

Number of Pages384 Pages

Publication NameErgodic Theory, Symbolic Dynamics, and Hyperbolic Spaces

LanguageEnglish

Publication Year1991

SubjectGeometry / Non-Euclidean, Life Sciences / Botany, Transformations

TypeTextbook

AuthorMichael Keane

Subject AreaMathematics, Science

FormatTrade Paperback

Dimensions

Item Height0.9 in

Item Weight23.1 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN90-049666

Dewey Edition20

IllustratedYes

Dewey Decimal515/.42

SynopsisThis 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.

LC Classification NumberQA611.5.E74 1991