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The Ergodic Theory of Discrete Sample Paths by Paul C. Shields (Hardcover, 2007)
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The focus is on the combinatorial properties of typical finite sample paths drawn from a stationary, ergodic process. 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.It has emphasis on recent combinatorial results about sample paths.