Chaos and Chance: An Introduction to Stochastic Aspects of Dynamics / Edition 1

by Arno Berger

Overview

With emphasis on stochastic aspects of deterministic systems this short book introduces the reader to the basic facts and some special topics of applied ergodic theory. It adresses advanced undergraduate and graduate students from various disciplines, i.e. mathematicians, physicists, electrical and mechanical engineers. Based upon a sound (but non-technical) mathematical introduction, a number of typical examples from applications (mostly from mechanics) are thoroughly discussed. By studying both probabilistic and deterministic features of dynamical systems the reader will develop what might be considered a unified view on chaos and chance as two sides of the same thing.

Product Details

ISBN-13:	9783110169904
Publisher:	De Gruyter
Publication date:	10/16/2001
Series:	De Gruyter Textbook
Edition description:	New Edition
Pages:	255
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

About the Author

Arno Berger is a Lecturer in Mathematics at the University of Canterbury in Christchurch, New Zealand. He has held positions in Austria, Germany, Great Britain and the United States.

Table of Contents

Introduction ｷ Basic aspects of discrete dynamical systems ｷ Ergodic theory I - Foundations ｷ Ergodic theory II - Applications ｷ The dynamical evolution of measures