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Ergodic Theory of Fibred Systems and Metric Number Theory

Ergodic Theory of Fibred Systems and Metric Number Theory

Hardcover

CalculusGeneral Mathematics

Currently unavailable to order

ISBN10: 0198534884
ISBN13: 9780198534884
Publisher: Oxford Univ Pr
Published: Mar 2 1995
Pages: 320
Language: English
The application of ergodic theory to numerous problems in metric number theory--possible when a fibred system is constructed--has yielded promising results. This book details the basic notion of fibred systems, most of which are connected with f-expansions. Topics include multidimensional continued fractions (such as the recent applications of subadditive ergodic theorems to Diophantine approximation), ergodicity, conservativity, the existence of invariant measures, and the Ruelle-Freobenius-Perron transfer operator. Containing a wealth of information previously unavailable in book form, Ergodic Theory of Fibred Systems and Metric Number Theory will be welcomed by advanced students and researchers in chaos theory, number theory, and physics.

Also from

Schweiger, Fritz

Also in

Calculus