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Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors
| Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Ergodic theory
Topological dynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8539-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Bibliography""; ""Hyperfinite actions on countable sets and probability measure spaces""; ""1. Introduction""; ""Acknowledgement""; ""2. The Stone-Cech compactification""; ""3. Geometrically hyperfinite actions""; ""4. Graphs and graphings""; ""5. On faithfulness""; ""6. On a problem of van Douwen""; ""7. A topologically free, hyperfinite action of a nonamenable group""; ""References""; ""A road to the spectral radius of transfer operators""; ""1. Introduction""; ""2. Reversible dynamics. Spectral radius and ergodic measures""; ""3. Irreversible-reversible dynamics""
""4. Irreversible dynamics. Weighted shifts and Perronâ€?Frobenius operators. Spectral radius and entropy""""5. Spectral potential of a transfer operator. Convexity, Legendre duality and thermodynamics""; ""6. Spectral potentials and dual entropy""; ""7. -entropy and variational principle for transfer operators""; ""8. Properties of -entropy. Entropy Statistic Theorem and Variational Principle for -entropy""; ""9. Variational principle for weighted shift operators""; ""10. Multiterm functional operators. Variational principles etc.""; ""References"" ""A condition for weak mixing of induced IETs""""1. IETs: Minimality, ergodicity and mixing""; ""2. The results""; ""3. Some notation, terminology and lemmas""; ""4. Proof of Theorem 3""; ""5. Proof of Theorem 2""; ""6. Proof of Proposition 3""; ""7. Two extensions of Theorem 1""; ""8. Final comments""; ""References""; ""Every countably infinite group is almost Ornstein""; ""1. Introduction""; ""2. Preliminaries""; ""3. Almost Ornstein groups""; ""4. Measurable subgroups""; ""5. Ornstein groups""; ""References""; ""Fair dice-like hyperbolic systems""; ""1. Introduction"" ""2. Definitions and main results""""Concluding remarks""; ""References""; ""Complexity and heights of tori""; ""1. Introduction""; ""2. Spectral preliminaries for discrete tori""; ""3. Spectral preliminaries for continuous tori""; ""4. Asymptotics""; ""5. Proof of the corollaries""; ""References""; ""Flows with uncountable but meager group of self-similarities""; ""0. Introduction""; ""1. Gaussian examples""; ""2. Poisson flows""; ""3. Concluding remarks and problems""; ""References""; ""The universal minimal space of the homeomorphism group of a h-homogeneous space""; ""1. Introduction"" ""2. Preliminaries""""3. Basic properties of h-homogeneous spaces""; ""4. Calculation of the universal minimal space""; ""References""; ""Generic eigenvalues, generic factors and weak disjointness""; ""1. Introduction""; ""2. Generic eigenvalues and weakly scattering""; ""3. Generic homomorphisms, generic factors and weak disjointness""; ""4. Relations among several scattering properties""; ""5. Scattering properties in an almost equicontinuous system""; ""References""; ""Around Kingâ€?s rank-one theorems: Flows and â??â?¿-actions""; ""1. Introduction""; ""2. Preliminaries and notations"" ""3. Rank-one flows"" |
| Record Nr. | UNINA-9910480995303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors
| Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Ergodic theory
Topological dynamics |
| ISBN | 0-8218-8539-1 |
| Classificazione | 37Axx37Bxx37Dxx20Exx20Pxx20Nxx22Fxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Bibliography -- Hyperfinite actions on countable sets and probability measure spaces -- 1. Introduction -- Acknowledgement -- 2. The Stone-Cech compactification -- 3. Geometrically hyperfinite actions -- 4. Graphs and graphings -- 5. On faithfulness -- 6. On a problem of van Douwen -- 7. A topologically free, hyperfinite action of a nonamenable group -- References -- A road to the spectral radius of transfer operators -- 1. Introduction -- 2. Reversible dynamics. Spectral radius and ergodic measures -- 3. Irreversible-reversible dynamics -- 4. Irreversible dynamics. Weighted shifts and Perron-Frobenius operators. Spectral radius and entropy -- 5. Spectral potential of a transfer operator. Convexity, Legendre duality and thermodynamics -- 6. Spectral potentials and dual entropy -- 7. Entropy and variational principle for transfer operators -- 8. Properties of -entropy. Entropy Statistic Theorem and Variational Principle for -entropy -- 9. Variational principle for weighted shift operators -- 10. Multiterm functional operators. Variational principles etc. -- References -- A condition for weak mixing of induced IETs -- 1. IETs: Minimality, ergodicity and mixing -- 2. The results -- 3. Some notation, terminology and lemmas -- 4. Proof of Theorem 3 -- 5. Proof of Theorem 2 -- 6. Proof of Proposition 3 -- 7. Two extensions of Theorem 1 -- 8. Final comments -- References -- Every countably infinite group is almost Ornstein -- 1. Introduction -- 2. Preliminaries -- 3. Almost Ornstein groups -- 4. Measurable subgroups -- 5. Ornstein groups -- References -- Fair dice-like hyperbolic systems -- 1. Introduction -- 2. Definitions and main results -- Concluding remarks -- References -- Complexity and heights of tori -- 1. Introduction -- 2. Spectral preliminaries for discrete tori -- 3. Spectral preliminaries for continuous tori -- 4. Asymptotics -- 5. Proof of the corollaries -- References -- Flows with uncountable but meager group of self-similarities -- 0. Introduction -- 1. Gaussian examples -- 2. Poisson flows -- 3. Concluding remarks and problems -- References -- The universal minimal space of the homeomorphism group of a h-homogeneous space -- 1. Introduction -- 2. Preliminaries -- 3. Basic properties of h-homogeneous spaces -- 4. Calculation of the universal minimal space -- References -- Generic eigenvalues, generic factors and weak dis-jointness -- 1. Introduction -- 2. Generic eigenvalues and weakly scattering -- 3. Generic homomorphisms, generic factors and weak disjointness -- 4. Relations among several scattering properties -- 5. Scattering properties in an almost equicontinuous system -- References -- Around King's rank-one theorems: Flows and actions -- 1. Introduction -- 2. Preliminaries and notations -- 3. Rank-one flows. |
| Record Nr. | UNINA-9910788637403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors
| Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Ergodic theory
Topological dynamics |
| ISBN | 0-8218-8539-1 |
| Classificazione | 37Axx37Bxx37Dxx20Exx20Pxx20Nxx22Fxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Bibliography -- Hyperfinite actions on countable sets and probability measure spaces -- 1. Introduction -- Acknowledgement -- 2. The Stone-Cech compactification -- 3. Geometrically hyperfinite actions -- 4. Graphs and graphings -- 5. On faithfulness -- 6. On a problem of van Douwen -- 7. A topologically free, hyperfinite action of a nonamenable group -- References -- A road to the spectral radius of transfer operators -- 1. Introduction -- 2. Reversible dynamics. Spectral radius and ergodic measures -- 3. Irreversible-reversible dynamics -- 4. Irreversible dynamics. Weighted shifts and Perron-Frobenius operators. Spectral radius and entropy -- 5. Spectral potential of a transfer operator. Convexity, Legendre duality and thermodynamics -- 6. Spectral potentials and dual entropy -- 7. Entropy and variational principle for transfer operators -- 8. Properties of -entropy. Entropy Statistic Theorem and Variational Principle for -entropy -- 9. Variational principle for weighted shift operators -- 10. Multiterm functional operators. Variational principles etc. -- References -- A condition for weak mixing of induced IETs -- 1. IETs: Minimality, ergodicity and mixing -- 2. The results -- 3. Some notation, terminology and lemmas -- 4. Proof of Theorem 3 -- 5. Proof of Theorem 2 -- 6. Proof of Proposition 3 -- 7. Two extensions of Theorem 1 -- 8. Final comments -- References -- Every countably infinite group is almost Ornstein -- 1. Introduction -- 2. Preliminaries -- 3. Almost Ornstein groups -- 4. Measurable subgroups -- 5. Ornstein groups -- References -- Fair dice-like hyperbolic systems -- 1. Introduction -- 2. Definitions and main results -- Concluding remarks -- References -- Complexity and heights of tori -- 1. Introduction -- 2. Spectral preliminaries for discrete tori -- 3. Spectral preliminaries for continuous tori -- 4. Asymptotics -- 5. Proof of the corollaries -- References -- Flows with uncountable but meager group of self-similarities -- 0. Introduction -- 1. Gaussian examples -- 2. Poisson flows -- 3. Concluding remarks and problems -- References -- The universal minimal space of the homeomorphism group of a h-homogeneous space -- 1. Introduction -- 2. Preliminaries -- 3. Basic properties of h-homogeneous spaces -- 4. Calculation of the universal minimal space -- References -- Generic eigenvalues, generic factors and weak dis-jointness -- 1. Introduction -- 2. Generic eigenvalues and weakly scattering -- 3. Generic homomorphisms, generic factors and weak disjointness -- 4. Relations among several scattering properties -- 5. Scattering properties in an almost equicontinuous system -- References -- Around King's rank-one theorems: Flows and actions -- 1. Introduction -- 2. Preliminaries and notations -- 3. Rank-one flows. |
| Record Nr. | UNINA-9910808666703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||