Classification Problems in Ergodic Theory

Classification Problems in Ergodic Theory

4.11 - 1251 ratings - Source

The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest.Therefore the map g1(x, y) =f(x, y) /h(x, y) is homotopicto f and g1(x, 0) =g1(Tx, l) = l for all x a‚n X. For each x 6 X let M(x) be the number of times the loop g1(x, y) wraps around K as y increases from 0 to 1. Then M :X a€”agt; Z is continuous and, anbsp;...

Title:Classification Problems in Ergodic Theory
Author:William Parry, Selim Tuncel
Publisher:Cambridge University Press - 1982-07-08


You Must CONTINUE and create a free account to access unlimited downloads & streaming