Ergodic Theory and Related Topics III: Proceedings of the International Conference held in Güstrow, Germany, October 22-27, 1990

ISBN-13: 9783540554448 / Angielski / Miękka / 1992 / 240 str.

Ulrich Krengel;Karin Richter;Volker Warstat

Opis

The proceedings of the Third International Conference on Ergodic Theory and Related Topics, held in Gustrow, Germany, in October 1990. The conference examined recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory.

Spis treści

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.

O autorze

Prof. Dr. rer. nat. Ulrich Krengel lehrt am Institut für Mathematische Stochastik der Universität Göttingen.