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Dynamical systems and ergodic theory

Author: Mark Pollicott; Michiko Yuri
Publisher: Cambridge ; New York : Cambridge University Press, 1998.
Series: London Mathematical Society student texts, 40.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Pollicott, Mark.
Dynamical systems and ergodic theory.
Cambridge ; New York : Cambridge University Press, 1998
(DLC) 97008812
(OCoLC)37106946
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mark Pollicott; Michiko Yuri
ISBN: 9781107088955 110708895X 9781139173049 1139173049
OCLC Number: 852896242
Description: 1 online resource (xiii, 179 pages) : illustrations.
Contents: Introduction and preliminaries; Part I. Topological Dynamics: 1. Examples and basic properties; 2. An application of recurrence to arithmetic progressions; 3. Topological entropy; 4. Interval maps; 5. Hyperbolic toral automorphisms; 6. Rotation numbers; Part II. Measurable Dynamics: 7. Invariant measures; 8. Measure theoretic entropy; 9. Ergodic measures; 10. Ergodic theorems; 11. Mixing; 12. Statistical properties; Part III. Supplementary Chapters: 13. Fixed points for the annulus; 14. Variational principle; 15. Invariant measures for commuting transformations; 16. An application of ergodic theory to arithmetic progressions.
Series Title: London Mathematical Society student texts, 40.
Responsibility: Mark Pollicott, Michiko Yuri.
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' ... the volume achieves its goals well. It covers a broad range of topics clearly and succinctly ... There is much material here to interest and stimulate the reader ... I thoroughly recommend it Read more...

 
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