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Ergodic Theory and Related Topics III

Proceedings of the International Conference held in Güstrow, Germany, October 22-27, 1990

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. Ulrich Krengel
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  2. Karin Richter
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  3. Volker Warstat
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1514)

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Table of contents (18 papers)

  1. Front Matter

    Pages I-VI
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  2. Symbolic dynamics for angle-doubling on the circle I. The topology of locally connected Julia sets

    • Christoph Bandt, Karsten Keller
    Pages 1-23

  3. Spectral decomposition, periods of cycles and a conjecture of M. Misiurewicz for graph maps

    • A. M. Blokh
    Pages 24-31

  4. The Abramov-Rokhlin formula

    • Thomas Bogenschütz, Hans Crauel
    Pages 32-35

  5. Expanding attractors with stable foliations of class C 0

    • H. G. Bothe
    Pages 36-61

  6. On absolutely focusing mirrors

    • L. A. Bunimovich
    Pages 62-82

  7. Upper and lower class results for subsequences of the Champernowne number

    • M. Denker, K. F. Krämer
    Pages 83-89

  8. The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps

    • Manfred Denker, Mariusz Urbański
    Pages 90-113

  9. On the construction of generalized measure preserving transformations with given marginals

    • Theodore P. Hill, Ulrich Krengel
    Pages 114-123

  10. Positive entropy implies infinite Lp-multiplicity for p>1

    • Anzelm Iwanik
    Pages 124-127

  11. On mixing generalized skew products

    • Zbigniew S. Kowalski
    Pages 128-130

  12. Ergodic properties of the stable foliations

    • François Ledrappier
    Pages 131-145

  13. Ergodic theorem along a return time sequence

    • Emmanuel Lesigne
    Pages 146-152

  14. Some limit theorems for Markov operators and their applications

    • Jan Malczak
    Pages 153-162

  15. Generic properties of one-dimensional dynamical systems

    • Ivan Mizera
    Pages 163-173

  16. Hölder continuity of the holonomy maps for hyperbolic basic sets I

    • J. Schmeling, Ra. Siegmund-Schultze
    Pages 174-191

  17. Peculiar submeasures on finite algebras

    • Jan Sipos
    Pages 192-197

  18. Invariance principles and central limit theorems for nonadditive, stationary processes

    • Ulrich Wacker
    Pages 198-228

  19. Fixed point rays of nonexpansive mappings

    • Rainer Wittmann
    Pages 229-233

  20. Back Matter

    Pages 234-236
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Ergodic Theory and Related Topics III

  • Book Subtitle: Proceedings of the International Conference held in Güstrow, Germany, October 22-27, 1990

  • Editors: Ulrich Krengel, Karin Richter, Volker Warstat

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0097523

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-55444-8Published: 06 May 1992

  • eBook ISBN: 978-3-540-47076-2Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 240

  • Topics: Probability Theory and Stochastic Processes, Real Functions

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