Ergodic Theory Of Fibred Systems And Metric Number Theory

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.