ENGLISH

The Ergodic Theory of Discrete Sample Paths

By Paul C. Shields

Book information

Publisher
American Mathematical Society
Year
1996
ISBN
0821804774, 9780821804773
LCC
QA313 .S55 1996
Language
english
Format
DJVU
Filesize
3 MB (3385725 bytes)
Series
Graduate Studies in Mathematics 13
Pages
257\257
Topic
Education
DPI
600
Time added
2011-06-04 13:46:07

Description

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. Features: 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.

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