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Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces

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ISBN-10: 0198596855

ISBN-13: 9780198596851

Edition: 1991

Authors: Tim Bedford, Michael Keane, Caroline Series

List price: $35.00
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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…    
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Book details

List price: $35.00
Copyright year: 1991
Publisher: Oxford University Press, Incorporated
Publication date: 5/9/1991
Binding: Paperback
Pages: 388
Size: 6.13" wide x 9.25" long x 0.94" tall
Weight: 1.430
Language: English

An Introduction to Hyperbolic Geometry
Ergodic Theory and Subshifts of Finite Type
Dynamics of Geodesic and Horocycle Flows on Surfaces of Constant Negative Curvature
Geodesic Flows, Interval Maps, and Symbolic Dynamics
Geometrical Methods of Symbolic Coding
Closed geodesics and Zeta Functions
Continued Fractions and Related Transformations
Probabilistic Methods in Certain Counting Problems of Ergodic Theory
A Measure on the Limit Set of a Discrete Group
Infinite Groups As Geometric Objects (after Gromov)
The Theory of Negatively Curved Spaces and Groups