This book is an essentially self contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a masters level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der waerden's theorem and szemerdi's theorem).
Dynamical Systems and Ergodic Theory (London Mathematical Society Student Texts) -
Mark Pollicott, Michiko Yuri
Cambridge University Press
1998
196 páginas
6h 32m
ISBN-13: 9780521575997
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