LEADER 04734nam 2200685 450 001 996466621403316 005 20220907191949.0 010 $a3-540-47076-X 024 7 $a10.1007/BFb0097523 035 $a(CKB)1000000000437114 035 $a(SSID)ssj0000322958 035 $a(PQKBManifestationID)12117796 035 $a(PQKBTitleCode)TC0000322958 035 $a(PQKBWorkID)10290113 035 $a(PQKB)10124480 035 $a(DE-He213)978-3-540-47076-2 035 $a(MiAaPQ)EBC5585701 035 $a(Au-PeEL)EBL5585701 035 $a(OCoLC)1066180991 035 $a(MiAaPQ)EBC6842116 035 $a(Au-PeEL)EBL6842116 035 $a(OCoLC)793079293 035 $a(PPN)155232096 035 $a(EXLCZ)991000000000437114 100 $a20220907d1992 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aErgodic theory and related topics III $eproceedings of the international conference held in Gu?strow, Germany, October 22-27, 1990 /$fUlrich Krengel, K. Richter, Volker Warstat, editors 205 $a1st ed. 1992. 210 1$aBerlin :$cSpringer-Verlag,$d[1992] 210 4$d©1992 215 $a1 online resource (VIII, 240 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1514 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-55444-0 327 $aSymbolic dynamics for angle-doubling on the circle I. The topology of locally connected Julia sets -- Spectral decomposition, periods of cycles and a conjecture of M. Misiurewicz for graph maps -- The Abramov-Rokhlin formula -- Expanding attractors with stable foliations of class C 0 -- On absolutely focusing mirrors -- Upper and lower class results for subsequences of the Champernowne number -- The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps -- On the construction of generalized measure preserving transformations with given marginals -- Positive entropy implies infinite Lp-multiplicity for p>1 -- On mixing generalized skew products -- Ergodic properties of the stable foliations -- Ergodic theorem along a return time sequence -- Some limit theorems for Markov operators and their applications -- Generic properties of one-dimensional dynamical systems -- Hölder continuity of the holonomy maps for hyperbolic basic sets I -- Peculiar submeasures on finite algebras -- Invariance principles and central limit theorems for nonadditive, stationary processes -- Fixed point rays of nonexpansive mappings. 330 $aThe purpose of the conference was to represent recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory, stochastic processes, operator theory and statistical physics. Only original research papers that do not appear elsewhere are included in the proceedings. Their topics include: C(2)-diffeomorphisms of compact Riemann manifolds, geodesic flows, chaotic behaviour in billards, nonlinear ergodic theory, central limit theorems for subadditive processes, Hausdorff measures for parabolic rational maps, Markov operators, periods of cycles, Julia sets, ergodic theorems. From the Contents: L.A. Bunimovich: On absolutely focusing mirrors.- M. Denker, M. Urbanski: The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps.- F. Ledrappier: Ergodic properties of the stable foliations.- U. Wacker: Invariance principles and central limit theorems for nonadditive stationary processes.- J. Schmeling, R. Siegmund-Schultze: Hoelder continuity of the holonomy map for hyperbolic basic sets.- A.M. Blokh: The spectral decomposition, periods of cycles and Misiurewicz conjecture for graph maps.- and contributions by Chr. Bandt and K. Keller, T. Bogenschutz andH. Crauel, H.G. Bothe, M. Denker and K.F. Kramer, T.P. Hill and U. Krengel, A. Iwanik, Z.S. Kowalski, E. Lesigne, J. Malczak, I. Mizera, J. Sipos, R. Wittmann. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1514. 517 3 $aErgodic theory and related topics 3 517 3 $aErgodic theory and related topics three 606 $aErgodic theory$vCongresses 606 $aMeasure theory$vCongresses 606 $aTopological dynamics 615 0$aErgodic theory 615 0$aMeasure theory 615 0$aTopological dynamics. 676 $a515.48 702 $aKrengel$b Ulrich$f1937- 702 $aRichter$b K.$f1951- 702 $aWarstat$b Volker 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466621403316 996 $aErgodic theory and related topics III$9262305 997 $aUNISA