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The purpose of the conference was to represent recentdevelopments in measure theoretic, differentiable andtopological dynamical systems as well as connections toprobability theory, stochastic processes, operator theoryand statistical physics. Only original research papers thatdo not appear elsewhere are included in the proceedings.Their topics include: C(2)-diffeomorphisms of compactRiemann manifolds, geodesic flows, chaotic behaviour inbillards, nonlinear ergodic theory, central limit theoremsfor subadditive processes, Hausdorff measures for parabolicrational maps, Markov operators, periods of cycles, Juliasets, ergodic theorems.From the Contents: L.A. Bunimovich: On absolutely focusingmirrors.- M. Denker, M. Urbanski: The dichotomy of Hausdorffmeasures and equilibrium states for parabolic rationalmaps.- F. Ledrappier: Ergodic properties of the stablefoliations.- U. Wacker: Invariance principles and centrallimit theorems for nonadditive stationary processes.- J.Schmeling, R. Siegmund-Schultze: Hoelder continuity of theholonomy map for hyperbolic basic sets.- A.M. Blokh: Thespectral decomposition, periods of cycles and Misiurewiczconjecture 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.
List of contents
Symbolic 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.
About the author
Prof. Dr. rer. nat. Ulrich Krengel lehrt am Institut für Mathematische Stochastik der Universität Göttingen.
