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Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Proceedings of the XXXIst Winter School of Theoretical Physics Held in Karpacz, Poland 13–24 February 1995

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Piotr Garbaczewski
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  2. Marek Wolf
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  3. Aleksander Weron
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Part of the book series: Lecture Notes in Physics (LNP, volume 457)

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Table of contents (42 papers)

  1. Front Matter

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  2. Stochastic processes from deterministic dynamics

    • Christian Beck
    Pages 1-19

  3. The interplay of classical and quantum stochastics: Diffusion, measurement and filtering

    • V. P. Belavkin
    Pages 21-40

  4. Event enhanced and piecewise deterministic quantum theory or the right jump at the right place

    • Ph. Blanchard, A. Jadczyk
    Pages 41-50

  5. Wave mechanics: The interplay between stochastics and quanta

    • A.M. Cetto, L. de la Peña
    Pages 51-73

  6. Lévy processes and relativistic quantum dynamics

    • Piotr Garbaczewski
    Pages 75-86

  7. Quantum coherence and decoherence in a classically chaotic experimentally accessible quantum optical system

    • Robert Graham
    Pages 87-100

  8. Anomalous diffusion, spontaneous localizations and the correspondence principle

    • Paolo Grigolini
    Pages 101-119

  9. Quantum open systems as random classical dynamical systems

    • Z. Haba
    Pages 121-134

  10. Large-Scale Structure of the Universe and Asymptotics of Burgers' Turbulence with Heavy-tailed Dependent Data Yiming Hue and

    • W. A. Woyczynskil, Yiming Hu
    Pages 135-149

  11. Convergence of iterative methods in perturbation theory

    • H. R. Jauslini, M. Govin, M. Cibils
    Pages 151-159

  12. Eigenfunction expansions for time dependent hamiltonians

    • H. R. Jauslin, S. Guerin, A. Deroussiaux
    Pages 161-168

  13. Strange attractors in higher-dimensional phase space

    • Tomasz Kapitaniak, Jerzy Wojewoda
    Pages 169-177

  14. Mathematical classification of complete chaos

    • Michael Keane
    Pages 179-182

  15. Anomalous diffusion and Lévy statistics in intermittent chaotic systems

    • J. Klafter, G. Zumofen, M. F. Shlesinger
    Pages 183-210

  16. Classical and quantum chaotic scattering

    • Ying-Cheng Lai
    Pages 211-234

  17. From fractals to stochastic differential equations

    • Andrzej Lasota
    Pages 235-255

  18. Dissipative structures and weak turbulence

    • Paul Manneville
    Pages 257-272

  19. Entropy and quantum characteristic exponents. steps towards a quantum pesin theory

    • R. Vilela Mendes
    Pages 273-282

  20. Rigorous numerics of chaotic dynamical systems

    • Marian Mrozek
    Pages 283-296
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Keywords

About this book

The study of chaotic behaviour of dynamical systems has triggered new efforts to reconcile deterministic and stochastic processes as well as classical and quantum physics. New efforts are made to understand complex and unpredictable behaviour. The papers collected in this volume give a broad overview of these activities. Readers will get a glimpse of the growing importance of Lévy processes for physics. They will find new views on fundamental concepts of quantum physics and will see many applications of chaotic and essentially random phenomena to a number of physical problems.

Reviews

"In my opinion this book is essential reading for anyone who wants to become or stay up to date in the modern developments of chaos and quantum chaology." Contemporary Physics

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