Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces (Oxford Science Publications) - Tim Bedford, Bedford, T, Keane, M. S, Series, Caroline (1991)
ISBN 0198596855
Subject Ergodic theory; Symbolic dynamics; Geometry, Hyperbolic
Publisher Oxford University Press, USA
Publication Date 5/9/1991
Format Paperback (235 x 156 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 325
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA611.5.E74 1991
Dewey 515/.42
Cover Price $35.00
No. of Pages 388