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

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9780821804773: The Ergodic Theory of Discrete Sample Paths (Graduate Studies in Mathematics)

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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From the Publisher:

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.

Review:

"This is a well-written book. Being an expert in the field, the author has chosen his own way of organization and presentation of the material. The result is a unique book with many interesting details for the expert and a text for the graduate student which is well thought out ... covers important and useful aspects of probabilistic discrete-sample-paths theory." -- -- Mathematical Reviews

"This is an interesting and well-written account of the ergodic theory of stationary processes from the viewpoint of entropy theory. This book is a beautiful and very readable treatment of an important part of ergodic theory. It is written by an expert in the field who has made very significant contributions and who has an excellent knowledge of the great relevance of the theory to other fields such as information theory ... strongly recommend this book to anyone who is interested in ergodic theory, stochastic processes or information theory." -- Bulletin of the London Mathematical Society

"A very original book on a topic of current interest written by an experienced author." -- Zentralblatt fur Mathematik

A very original book on a topic of current interest written by an experienced author. --Zentralblatt für Mathematik

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Paul C. Shields
Editore: American Mathematical Society, United States (1996)
ISBN 10: 0821804774 ISBN 13: 9780821804773
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Descrizione libro American Mathematical Society, United States, 1996. Hardback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821804773

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2.

Paul C. Shields
Editore: American Mathematical Society, United States (1996)
ISBN 10: 0821804774 ISBN 13: 9780821804773
Nuovi Rilegato Quantità: 1
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Descrizione libro American Mathematical Society, United States, 1996. Hardback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780821804773

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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, The Ergodic Theory of Discrete Sample Paths, Paul C. Shields, 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. Codice libro della libreria B9780821804773

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Descrizione libro American Mathematical Society, 1996. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821804773

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Descrizione libro American Mathematical Society, 1996. Hardcover. Condizione libro: New. Codice libro della libreria SONG0821804774

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Descrizione libro American Mathematical Society, 1996. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. 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. Codice libro della libreria 1007130041

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Descrizione libro American Mathematical Society, 1996. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821804774

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Descrizione libro American Mathematical Society, 1996. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821804774

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Descrizione libro Amer Mathematical Society, 1996. Hardcover. Condizione libro: Brand New. 249 pages. 10.75x7.50x0.75 inches. In Stock. Codice libro della libreria __0821804774

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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97808218047731.0

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