The Ergodic Theory of Discrete Sample Paths (Graduate Studies in Mathematics, V. 13) - Paul C. Shields (1996)
ISBN 0821804774
Subject Ergodic theory; Measure-preserving transformations; Stochastic processes
Publisher Amer Mathematical Society
Publication Date July 1996
Format Hardcover (259 x 183 mm)
Language e
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.


Emphasis on recent combinatorial results about sample paths.

Careful treatment of many models found to be useful in engineering.

Applications of entropy ideas to coding, sample path structure, distribution estimation, recurrence times, waiting times, and prefix trees.

Simplification, adaptation, and updating to the process setting of Ornstein isomorphism theory.

Personal Details
Collection Status In Collection
Index 61
Read It Yes
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Product Details
LoC Classification QA313 .S55 1996 vol 13
Dewey 519.2/32
Cover Price $41.00
No. of Pages 249