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Dynamical systems and ergodic theory /
Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1998.
|
| Colección: | London Mathematical Society student texts ;
40. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBSCO_ocn852896242 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 100 | 1 | |a Pollicott, Mark. | |
| 245 | 1 | 0 | |a Dynamical systems and ergodic theory / |c Mark Pollicott, Michiko Yuri. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1998. | ||
| 300 | |a 1 online resource (xiii, 179 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society student texts ; |v 40 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Series Page; Title; Copyright; CONTENTS; INTRODUCTION; PRELIMINARIES; 1 Conventions; 2 Notation; 3 Prerequisites in point set topology (CHAPTERs 1-6); 4 Pre-requisites in measure theory (CHAPTERs 7-12); 5 Subadditive sequences; References; CHAPTER 1 EXAMPLES AND BASIC PROPERTIES; 1.1 Examples; 1.2 Transitivity; 1.3 Other characterizations of transitivity; 1.4 Transitivity for subshifts of finite type; 1.5 Minimality and the Birkhoff recurrence theorem; 1.6 Commuting homeomorphisms; 1.7 Comments and references; References | |
| 505 | 8 | |a CHAPTER 2 AN APPLICATION OF RECURRENCE TO ARITHMETIC PROGRESSIONS2.1 Van der Waerden's theorem; 2.2 A dynamical proof; 2.3. The proofs of Sublemma 2.2.2 and Sublemma 2.2.3; 2.4 Comments and references; References; CHAPTER 3 TOPOLOGICAL ENTROPY; 3.1 Definitions; 3.2 The Perron-Frobenious theorem and subshifts of finite type; 3.3 Other definitions and examples; 3.4 Conjugacy; 3.5 Comments and references; References; CHAPTER 4 INTERVAL MAPS; 4.1 Fixed points and periodic points; 4.2 Topological entropy of interval maps; 4.3 Markov maps; 4.4 Comments and references; References | |
| 505 | 8 | |a CHAPTER 5 HYPERBOLIC TORAL AUTOMORPHISMS5.1 Definitions; 5.2 Entropy for Hyperbolic Toral Automorphisms; 5.3 Shadowing and semi-conjugacy; 5.4 Comments and references; References; CHAPTER 6 ROTATION NUMBERS; 6.1 Homeomorphisms of the circle and rotation numbers; 6.2 Denjoy's theorem; 6.3 Comments and references; References; CHAPTER 7 INVARIANT MEASURES; 7.1 Definitions and characterization of invariant measures; 7.2 Borel sigma-algebras for compact metric spaces; 7.3 Examples of invariant measures; 7.4 Invariant measures for other actions; 7.5 Comments and references; References | |
| 505 | 8 | |a CHAPTER 8 MEASURE THEORETIC ENTROPY8.1 Partitions and conditional expectations; 8.2 The entropy of a partition; 8.3 The entropy of a transformation; 8.4 The increasing martingale theorem; 8.5 Entropy and sigma-algebras; 8.6 Conditional entropy; 8.7 Proofs of Lemma 8.7 and Lemma 8.8; 8.8 Isomorphism; 8.9 Comments and references; References; CHAPTER 9 ERGODIC MEASURES; 9.1 Definitions and characterization of ergodic measures; 9.2 Poincare recurrence and Kac's theorem; 9.3 Existence of ergodic measures; 9.4 Some basic constructions in ergodic theory; 9.4.1 Skew products | |
| 505 | 8 | |a 9.4.2 Induced transformations and Rohlin towers9.4.3 Natural extensions; 9.5 Comments and references; References; CHAPTER 10 ERGODIC THEOREMS; 10.1 The Von Neumann ergodic theorem; 10.2 The Birkhoff theorem (for ergodic measures); 10.3 Applications of the ergodic theorems; 10.4 The Birkhoff theorem (for invariant measures); 10.5 Comments and references; References; CHAPTER 11 MIXING PROPERTIES; 11.1 Weak mixing; 11.2 A density one convergence characterization of weak mixing; 11.3 A generalization of the von Neumann ergodic theorem; 11.4 The spectral viewpoint | |
| 520 | |a Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Topological dynamics. | |
| 650 | 0 | |a Ergodic theory. | |
| 650 | 6 | |a Dynamique topologique. | |
| 650 | 6 | |a Théorie ergodique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Ergodic theory. |2 fast |0 (OCoLC)fst00914656 | |
| 650 | 7 | |a Topological dynamics. |2 fast |0 (OCoLC)fst01152680 | |
| 650 | 7 | |a Dynamisches System |2 gnd | |
| 650 | 7 | |a Ergodentheorie |2 gnd | |
| 650 | 1 | 7 | |a Ergodiciteit. |2 gtt |
| 650 | 1 | 7 | |a Dynamische systemen. |2 gtt |
| 650 | 7 | |a Dynamique topologique. |2 ram | |
| 650 | 7 | |a Théorie ergodique. |2 ram | |
| 700 | 1 | |a Yuri, Michiko, |d 1956- | |
| 776 | 0 | 8 | |i Print version: |a Pollicott, Mark. |t Dynamical systems and ergodic theory. |d Cambridge ; New York : Cambridge University Press, 1998 |z 0521572940 |w (DLC) 97008812 |w (OCoLC)37106946 |
| 830 | 0 | |a London Mathematical Society student texts ; |v 40. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570398 |z Texto completo |
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