LEADER 04667nam 2200577 450 001 9910808666703321 005 20220824043848.0 010 $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(RPAM)17132026 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$dİ2012 215 $a1 online resource (280 p.) 225 1 $aContemporary mathematics,$v567$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-6922-1 320 $aIncludes bibliographical references. 327 $aPreface -- 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. 410 0$aContemporary mathematics (American Mathematical Society).$v567$x0271-4132 606 $aErgodic theory 606 $aTopological dynamics 615 0$aErgodic theory. 615 0$aTopological dynamics. 676 $a515/.39 686 $a37Axx$a37Bxx$a37Dxx$a20Exx$a20Pxx$a20Nxx$a22Fxx$2msc 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 $a9910808666703321 996 $aDynamical systems and group actions$93938238 997 $aUNINA