Pollicott, Mark.

Dynamical systems and ergodic theory - Cambridge : Cambridge University Press, 1998. - xiii, 179 p. : ill. ; 24 cm. - London Mathematical Society student texts ; 40 .

Includes bibliographical references and index.

This book is essentially a 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 master's 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).

9780521575997


Topological dynamics.
Ergodic theory.
Topological entropy.
Ergodic measures.