Elementary Linear Algebra

Science & Math

Paul C. Shields

Mathematics

Worth Publishers

<p>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.</p>

The Ergodic Theory of Discrete Sample Paths (Graduate Studies in Mathematics, 13)

American Mathematical Society

See the best price to sell, buy, or rent books by Paul C. Shields. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Paul C. Shields

See the best price to sell, buy, or rent books by Paul C. Shields. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Elementary Linear Algebra

The Ergodic Theory of Discrete Sample Paths (Graduate Studies in Mathematics, 13)