The Ergodic Theory of Discrete Sample Paths - Couverture rigide

Livre 9 sur 190: Graduate Studies in Mathematics

Shields, Paul C.

 
9780821804773: The Ergodic Theory of Discrete Sample Paths
Couverture rigide
ISBN 10 : 0821804774 ISBN 13 : 9780821804773
Editeur : American Mathematical Society, 1996

Synopsis

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.It has emphasis on recent combinatorial results about sample paths. It presents a careful treatment of many models found to be useful in engineering. It includes applications of entropy ideas to coding, sample path structure, distribution estimation, recurrence times, waiting times, and prefix trees. It covers simplification, adaptation, and updating to the process setting of Ornstein isomorphism theory.

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Éditeur
American Mathematical Society
Date d'édition
1996
Langue
anglais
ISBN 10 
0821804774
ISBN 13 
9780821804773
Reliure
Relié
Nombre de pages
249
Coordonnées du fabricant
non disponible
Personne responsable
non disponible