Ergodic Theory and Related Topics III: Proceedings of the International Conference held in Güstrow, Germany, October 22-27, 1990
Ulrich Krengel, Karin Richter, Volker Warstat
Springer Berlin Heidelberg, May 6, 1992 - Mathematics - 240 pages
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.
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Symbolic dynamics for angledoubling on the circle
Spectral Decomposition Periods of Cycles and a Conjecture
The AbramovRokhlin Formula
10 other sections not shown
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a-equivalence absolutely focusing angle assume asymptotical stability asymptotically belongs billiards branched manifolds called Cantor set choose chord compact conjugate point consecutive reflections consider constant construction contains continuous function continuous map convergence Corollary covering curvature decomposition defined denote density diffeomorphism disjoint disk dynamical systems endpoints entropy equation equivalent ergodic theory exists expanding attractors factor finite fixed focusing component following properties geodesic flow gmp-transformation harmonic measure Hausdorff dimension Hausdorff measures Hence homeomorphism immersion implies inequality integrable intersect interval itineraries Julia set lamination Lebesgue locally flattening Markov operator Math measure preserving transformation Moreover n-disk n-manifold neighbourhood obtain parabolic periodic point positive PQ-interval probability space Proof of Theorem proposition prove rational maps real number rectangles Riemannian metric satisfied Section semigroup sequence slice refinement stable foliation stochastic sublemma submeasure subset subwords tangent topological unique unstable manifolds zero