LEADER 04765nam 2200625 450 001 9910480995303321 005 20170821165731.0 010 $a0-8218-8539-1 035 $a(CKB)3240000000070090 035 $a(EBL)3113201 035 $a(SSID)ssj0000626095 035 $a(PQKBManifestationID)11371804 035 $a(PQKBTitleCode)TC0000626095 035 $a(PQKBWorkID)10629130 035 $a(PQKB)10828308 035 $a(MiAaPQ)EBC3113201 035 $a(PPN)197102107 035 $a(EXLCZ)993240000000070090 100 $a20120124h20122012 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aDynamical systems and group actions /$fLewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2012] 210 4$d©2012 215 $a1 online resource (280 p.) 225 1 $aContemporary mathematics ;$vvolume 567 300 $aDescription based upon print version of record. 311 $a0-8218-6922-1 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""4. Irreversible dynamics. Weighted shifts and Perrona???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"" 327 $a""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"" 327 $a""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"" 327 $a""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 Kinga???s rank-one theorems: Flows and a???a??¿-actions""; ""1. Introduction""; ""2. Preliminaries and notations"" 327 $a""3. Rank-one flows"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 567. 606 $aErgodic theory 606 $aTopological dynamics 608 $aElectronic books. 615 0$aErgodic theory. 615 0$aTopological dynamics. 676 $a515/.39 702 $aBowen$b Lewis$f1972- 702 $aGrigorchuk$b R. I. 702 $aVorobets$b Yaroslav$f1971- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480995303321 996 $aDynamical systems and group actions$92122805 997 $aUNINA