Mark Pollicott, Michiko Yuri, Pollicott Mark

Dynamical Systems and Ergodic Theory

• Gebundenes Buch

Produktbeschreibung

Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 196
• Erscheinungstermin: 31. Januar 2008
• Englisch
• Abmessung: 235mm x 157mm x 15mm
• Gewicht: 443g
• ISBN-13: 9780521572941
• ISBN-10: 0521572940
• Artikelnr.: 23526964

Inhaltsangabe

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.