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Record Nr. |
UNINA9910480995303321 |
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Titolo |
Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2012] |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (280 p.) |
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Collana |
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Contemporary mathematics ; ; volume 567 |
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Disciplina |
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Soggetti |
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Ergodic theory |
Topological dynamics |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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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"" |
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