Ergodic Theory and Related Topics III

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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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.

• Ergodic theory
• Probability theory
• Stochastic processes
• Variance
• linear optimization
• mixing
• stochastic process

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