Entropy in dynamical systems (Record no. 196676)

MARC details
000 -LEADER
fixed length control field 03059nam a2200349 a 4500
001 - CONTROL NUMBER
control field ebr10521005
003 - CONTROL NUMBER IDENTIFIER
control field CaPaEBR
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m u
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn|||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 101129s2011 enk sb 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
Canceled/invalid LC control number 2010050336
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780521888851 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781139185677 (e-book)
040 ## - CATALOGING SOURCE
Original cataloging agency CaPaEBR
Transcribing agency CaPaEBR
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)774385269
050 14 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA611.5
Item number .D685 2011eb
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.39
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Downarowicz, Tomasz,
Dates associated with a name 1956-
245 10 - TITLE STATEMENT
Title Entropy in dynamical systems
Medium [electronic resource] /
Statement of responsibility, etc. Tomasz Downarowicz.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Cambridge ;
-- New York :
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. 2011.
300 ## - PHYSICAL DESCRIPTION
Extent xii, 391 p.
490 1# - SERIES STATEMENT
Series statement New mathematical monographs ;
Volume/sequential designation 18
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (p. [379]-385) and index.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: Introduction; Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy; 2. Dynamical entropy of a process; 3. Entropy theorems in processes; 4. Kolmogorov-Sinai entropy; 5. The ergodic law of series; Part II. Entropy in Topological Dynamics: 6. Topological entropy; 7. Dynamics in dimension zero; 8. The entropy structure; 9. Symbolic extensions; 10. A touch of smooth dynamics; Part III. Entropy Theory for Operators: 11. Measure theoretic entropy of stochastic operators; 12. Topological entropy of a Markov operator; 13. Open problems in operator entropy; Appendix A. Toolbox; Appendix B. Conditional S-M-B; List of symbols; References; Index.
520 ## - SUMMARY, ETC.
Summary, etc. "This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theorem, the Krieger Generator Theorem and, among the newest developments, the ergodic law of series. In Part II, after an expanded exposition of classical topological entropy, the book addresses symbolic extension entropy. It offers deep insight into the theory of entropy structure and explains the role of zero-dimensional dynamics as a bridge between measurable and topological dynamics. Part III explains how both measure-theoretic and topological entropy can be extended to operators on relevant function spaces. Intuitive explanations, examples, exercises and open problems make this an ideal text for a graduate course on entropy theory. More experienced researchers can also find inspiration for further research"--
Assigning source Provided by publisher.
533 ## - REPRODUCTION NOTE
Type of reproduction Electronic reproduction.
Place of reproduction Palo Alto, Calif. :
Agency responsible for reproduction ebrary,
Date of reproduction 2013.
Note about reproduction Available via World Wide Web.
-- Access may be limited to ebrary affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topological entropy
Form subdivision Textbooks.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Topological dynamics
Form subdivision Textbooks.
655 #7 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Source of term local
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element ebrary, Inc.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title New mathematical monographs ;
Volume/sequential designation 18.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://site.ebrary.com/lib/daystar/Doc?id=10521005">http://site.ebrary.com/lib/daystar/Doc?id=10521005</a>
Public note An electronic book accessible through the World Wide Web; click to view

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