A dynamical system is a continuous self-map of a compact metric space. Topological dynamics studies the iterations of such a map, or equivalently, the trajector

Nearly one hundred years ago Jacques Hadamard used infinite sequences of symbols to analyze the distribution of geodesics on certain surfaces. That was the begi

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills th

Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this

This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to p