The Ergodic Theory of Discrete Sample Paths : Graduate Studies in Mathematics - Paul C. Shields

The Ergodic Theory of Discrete Sample Paths

By: Paul C. Shields

Hardcover | 1 January 1996

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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.

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