04765nam 2200625 450 991048099530332120170821165731.00-8218-8539-1(CKB)3240000000070090(EBL)3113201(SSID)ssj0000626095(PQKBManifestationID)11371804(PQKBTitleCode)TC0000626095(PQKBWorkID)10629130(PQKB)10828308(MiAaPQ)EBC3113201(PPN)197102107(EXLCZ)99324000000007009020120124h20122012 uy| 0engur|n|---|||||txtccrDynamical systems and group actions /Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editorsProvidence, Rhode Island :American Mathematical Society,[2012]©20121 online resource (280 p.)Contemporary mathematics ;volume 567Description based upon print version of record.0-8218-6922-1 Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;v. 567.Ergodic theoryTopological dynamicsElectronic books.Ergodic theory.Topological dynamics.515/.39Bowen Lewis1972-Grigorchuk R. I.Vorobets Yaroslav1971-MiAaPQMiAaPQMiAaPQBOOK9910480995303321Dynamical systems and group actions2122805UNINA