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Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity / / Michael Field, Matthew Nicol
| Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity / / Michael Field, Matthew Nicol |
| Autore | Field Mike |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 515.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ergodic theory
Diffeomorphisms |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0401-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Equivariant Geometry and Dynamics""; ""2.1. Lie groups, Î?-manifolds and representations""; ""2.1.1. Compact Lie groups""; ""2.1.2. Î?-manifolds""; ""2.2. Equivariant dynamical systems""; ""2.2.1. Discrete dynamical systems""; ""2.2.2. Skew and principal extensions""; ""2.2.3. Continuous dynamical systems""; ""2.3. Local theory""; ""2.4. Invariant subspaces and transversality""; ""2.5. Basic sets for equivariant diffeomorphisms""; ""Chapter 3. Technical preliminaries""; ""3.1. Geometry of group actions and maps""
""4.4. Existence of Î?-regular Markov partitions""""Chapter 5. Transversally hyperbolic sets""; ""5.1. Transverse hyperbolicity""; ""5.2. Properties of transversally hyperbolic sets""; ""5.3. Î?-expansiveness""; ""5.4. Stability properties of transversally hyperbolic sets""; ""5.5. Subshifts of finite type and attractors""; ""5.6. Local product structure""; ""5.7. Expansiveness and shadowing""; ""5.8. Stability of basic sets""; ""Chapter 6. Markov partitions for basic sets""; ""6.1. Rectangles""; ""6.2. Slices""; ""6.3. Pre-Markov partitions""; ""6.4. Proper and admissible rectangles"" ""6.5. Î?-regular Markov partitions""""6.6. Construction of Î?-regular Markov partitions""; ""Part 2. Stable Ergodicity""; ""Chapter 7. Preliminaries""; ""7.1. Metrics""; ""7.2. The Haar lift""; ""7.3. Isotropy and ergodicity""; ""7.4. Î?-regular Markov partitions""; ""7.5. Measures on the orbit space""; ""7.6. Spectral characterization of ergodicity and weak-mixing""; ""Chapter 8. LivÅ¡ic regularity and ergodic components""; ""8.1. LivÅ¡ic regularity""; ""8.2. Structure of ergodic components""; ""Chapter 9. Stable Ergodicity""; ""9.1. Stable ergodicity: Î? compact and connected"" ""9.2. Stable ergodicity: Î? semisimple""""9.3. Stable ergodicity for attractors""; ""9.4. Stable ergodicity and SRB attractors""; ""Appendix A. On the absolute continuity of v""; ""Bibliography"" |
| Record Nr. | UNINA-9910480873103321 |
Field Mike
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity / / Michael Field, Matthew Nicol
| Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity / / Michael Field, Matthew Nicol |
| Autore | Field Mike |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 515.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ergodic theory
Diffeomorphisms |
| ISBN | 1-4704-0401-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Equivariant Geometry and Dynamics""; ""2.1. Lie groups, Î?-manifolds and representations""; ""2.1.1. Compact Lie groups""; ""2.1.2. Î?-manifolds""; ""2.2. Equivariant dynamical systems""; ""2.2.1. Discrete dynamical systems""; ""2.2.2. Skew and principal extensions""; ""2.2.3. Continuous dynamical systems""; ""2.3. Local theory""; ""2.4. Invariant subspaces and transversality""; ""2.5. Basic sets for equivariant diffeomorphisms""; ""Chapter 3. Technical preliminaries""; ""3.1. Geometry of group actions and maps""
""4.4. Existence of Î?-regular Markov partitions""""Chapter 5. Transversally hyperbolic sets""; ""5.1. Transverse hyperbolicity""; ""5.2. Properties of transversally hyperbolic sets""; ""5.3. Î?-expansiveness""; ""5.4. Stability properties of transversally hyperbolic sets""; ""5.5. Subshifts of finite type and attractors""; ""5.6. Local product structure""; ""5.7. Expansiveness and shadowing""; ""5.8. Stability of basic sets""; ""Chapter 6. Markov partitions for basic sets""; ""6.1. Rectangles""; ""6.2. Slices""; ""6.3. Pre-Markov partitions""; ""6.4. Proper and admissible rectangles"" ""6.5. Î?-regular Markov partitions""""6.6. Construction of Î?-regular Markov partitions""; ""Part 2. Stable Ergodicity""; ""Chapter 7. Preliminaries""; ""7.1. Metrics""; ""7.2. The Haar lift""; ""7.3. Isotropy and ergodicity""; ""7.4. Î?-regular Markov partitions""; ""7.5. Measures on the orbit space""; ""7.6. Spectral characterization of ergodicity and weak-mixing""; ""Chapter 8. LivÅ¡ic regularity and ergodic components""; ""8.1. LivÅ¡ic regularity""; ""8.2. Structure of ergodic components""; ""Chapter 9. Stable Ergodicity""; ""9.1. Stable ergodicity: Î? compact and connected"" ""9.2. Stable ergodicity: Î? semisimple""""9.3. Stable ergodicity for attractors""; ""9.4. Stable ergodicity and SRB attractors""; ""Appendix A. On the absolute continuity of v""; ""Bibliography"" |
| Record Nr. | UNINA-9910788746603321 |
|
Field Mike
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity / / Michael Field, Matthew Nicol
| Ergodic theory of equivariant diffeomorphisms : Markov partitions and stable ergodicity / / Michael Field, Matthew Nicol |
| Autore | Field Mike |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 515.48 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ergodic theory
Diffeomorphisms |
| ISBN | 1-4704-0401-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Equivariant Geometry and Dynamics""; ""2.1. Lie groups, Î?-manifolds and representations""; ""2.1.1. Compact Lie groups""; ""2.1.2. Î?-manifolds""; ""2.2. Equivariant dynamical systems""; ""2.2.1. Discrete dynamical systems""; ""2.2.2. Skew and principal extensions""; ""2.2.3. Continuous dynamical systems""; ""2.3. Local theory""; ""2.4. Invariant subspaces and transversality""; ""2.5. Basic sets for equivariant diffeomorphisms""; ""Chapter 3. Technical preliminaries""; ""3.1. Geometry of group actions and maps""
""4.4. Existence of Î?-regular Markov partitions""""Chapter 5. Transversally hyperbolic sets""; ""5.1. Transverse hyperbolicity""; ""5.2. Properties of transversally hyperbolic sets""; ""5.3. Î?-expansiveness""; ""5.4. Stability properties of transversally hyperbolic sets""; ""5.5. Subshifts of finite type and attractors""; ""5.6. Local product structure""; ""5.7. Expansiveness and shadowing""; ""5.8. Stability of basic sets""; ""Chapter 6. Markov partitions for basic sets""; ""6.1. Rectangles""; ""6.2. Slices""; ""6.3. Pre-Markov partitions""; ""6.4. Proper and admissible rectangles"" ""6.5. Î?-regular Markov partitions""""6.6. Construction of Î?-regular Markov partitions""; ""Part 2. Stable Ergodicity""; ""Chapter 7. Preliminaries""; ""7.1. Metrics""; ""7.2. The Haar lift""; ""7.3. Isotropy and ergodicity""; ""7.4. Î?-regular Markov partitions""; ""7.5. Measures on the orbit space""; ""7.6. Spectral characterization of ergodicity and weak-mixing""; ""Chapter 8. LivÅ¡ic regularity and ergodic components""; ""8.1. LivÅ¡ic regularity""; ""8.2. Structure of ergodic components""; ""Chapter 9. Stable Ergodicity""; ""9.1. Stable ergodicity: Î? compact and connected"" ""9.2. Stable ergodicity: Î? semisimple""""9.3. Stable ergodicity for attractors""; ""9.4. Stable ergodicity and SRB attractors""; ""Appendix A. On the absolute continuity of v""; ""Bibliography"" |
| Record Nr. | UNINA-9910820408503321 |
|
Field Mike
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||