MARC details
| 000 -LEADER |
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| fixed length control field |
03289nam a2200433 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
EBC807302 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MiAaPQ |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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| fixed length control field |
m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
101129s2011 enk sb 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| Canceled/invalid LC control number |
2010050336 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9780521888851 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9781139185677 (e-book) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(MiAaPQ)EBC807302 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(Au-PeEL)EBL807302 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(CaPaEBR)ebr10521005 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(CaONFJC)MIL338392 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)782877021 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MiAaPQ |
| Transcribing agency |
MiAaPQ |
| Modifying agency |
MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA611.5 |
| Item number |
.D685 2011 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515/.39 |
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Downarowicz, Tomasz, |
| Dates associated with a name |
1956- |
| 245 10 - TITLE STATEMENT |
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| Title |
Entropy in dynamical systems |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
Tomasz Downarowicz. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| 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 |
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| Extent |
xii, 391 p. |
| 490 1# - SERIES STATEMENT |
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| Series statement |
New mathematical monographs ; |
| Volume number/sequential designation |
18 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. [379]-385) and index. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| 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. |
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| 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"-- |
| -- |
Provided by publisher. |
| 533 ## - REPRODUCTION NOTE |
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| Type of reproduction |
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Topological entropy |
| Form subdivision |
Textbooks. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Topological dynamics |
| Form subdivision |
Textbooks. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
New mathematical monographs ; |
| Volume number/sequential designation |
18. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://ebookcentral.proquest.com/lib/bcsl-ebooks/detail.action?docID=807302">https://ebookcentral.proquest.com/lib/bcsl-ebooks/detail.action?docID=807302</a> |
| Public note |
Click to View |