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Lévy Flights and Related Topics in Physics

Proceedings of the International Workshop Held at Nice, France, 27–30 June 1994

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Micheal F. Shlesinger
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  2. George M. Zaslavsky
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  3. Uriel Frisch
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Part of the book series: Lecture Notes in Physics (LNP, volume 450)

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Table of contents (22 papers)

  1. Front Matter

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  2. Variability of anomalous transport exponents versus different physical situations in geophysical and laboratory turbulence

    • A. Tsinober
    Pages 1-33

  3. Conditionally-averaged dynamics of turbulence, new scaling and stochastic modelling

    • Evgeny A. Novikov
    Pages 35-50

  4. Observation of anomalous diffusion and Lévy flights

    • Eric R. Weeks, T. H. Solomon, Jeffrey S. Urbach, Harry L. Swinney
    Pages 51-71

  5. Chaotic lagrangian motion on a rotating sphere

    • Vered Rom-Kedar, Yona Dvorkin, Nathan Paldor
    Pages 72-87

  6. Lévy walks and lattice gas hydrodynamics

    • F. Hayot, L. Wagner
    Pages 88-95

  7. Definition of stable laws, infinitely divisible laws, and Lévy processes

    • Jean-Pierre Kahane
    Pages 97-109

  8. Introduction to fractal sums of pulses

    • Benoit B. Mandelbrot
    Pages 110-123

  9. Time scales in noisy conservative systems

    • Albert Fannjiang
    Pages 124-139

  10. Geometric constructions in multifractality formalism

    • Michael Blank
    Pages 140-149

  11. Lévy walks in chaotic systems: Useful formulas and recent applications

    • T. Geisel
    Pages 151-173

  12. Transport and large scale stochasticity for a nonperiodic generalisation of the standard map

    • Sadruddin Benkadda, Brigitte R. Ragot, Yves Elskens
    Pages 174-181

  13. Blowout bifurcations: Symmetry breaking of spatially symmetric chaotic states

    • Edward Ott, John C. Sommerer, Thomas M. Antonsen Jr., Shankar Venkataramani
    Pages 182-195

  14. Lévy description of anomalous diffusion in dynamical systems

    • J. Klafter, G. Zumofen, M. F. Shlesinger
    Pages 196-215

  15. From Lévy flights to the fractional kinetic equation for dynamical chaos

    • G. M. Zaslavsky
    Pages 216-236

  16. More Lévy distributions in physics

    • J. P. Bouchaud
    Pages 237-250

  17. Aspects of Lévy flights in a quenched random force field

    • Hans C. Fogedby
    Pages 251-261

  18. Universality of escape from a half-space for symmetrical random walks

    • Uriel Frisch, Hélène Frisch
    Pages 262-268

  19. Derivation of Lévy-type anomalous superdiffusion from generalized statistical mechanics

    • Constantino Tsallis, André M. C. de Souza, Roger Maynard
    Pages 269-289

  20. A dynamical model leading to the breakdown of the Green-Kubo predictions

    • Elena Floriani, György Trefán, Paolo Grigolini, Bruce J. West
    Pages 290-299
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Keywords

About this book

P. Lévy's work on random walks with infinite moments, developed more than half a century ago, has now been fully appreciated as a foundation of probabilistic aspects of fractals and chaos as well as scale-invariant processes. This is the first book for physicists devoted to Lévy processes. It includes thorough review articles on applications in fluid and gas dynamics, in dynamical systems including anomalous diffusion and in statistical mechanics. Various articles approach mathematical problems and finally the volume addresses problems in theoretical biology. The book is introduced by a personal recollection of P. Lévy written by B. Mandelbrot.

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