Download or read book The Ergodic Theory of Discrete Sample Paths written by Paul C. Shields and published by American Mathematical Soc.. This book was released on 1996 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about finite-alphabet stationary processes, which are important in physics, engineering, and data compression. The focus is on the combinatorial properties of typical finite sample paths drawn from a stationary, ergodic process. A primary goal, only partially realized, is to develop a theory based directly on sample path arguments with minimal appeals to the probability formalism. A secondary goal is to give a careful presentation of the many models for stationary finite-alphabet processes that have been developed in probability theory, ergodic theory, and information theory.