Ergodic Theory and Related Topics III [electronic resource] : Proceedings of the International Conference held in Güstrow, Germany, October 22–27, 1990 / edited by Ulrich Krengel, Karin Richter, Volker Warstat.

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.

The 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.