Dynamical systems and group actions / / Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2012]; ©2012
• Descrizione fisica: 1 online resource (280 p.)
• Disciplina: 515/.39
• Soggetto topico: Ergodic theory; Topological dynamics
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): BowenLewis <1972->; GrigorchukR. I.; VorobetsYaroslav <1971->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• 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""
• Titolo autorizzato: Dynamical systems and group actions
• ISBN: 0-8218-8539-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480995303321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 567.