Lévy flights and related topics in physics : proceedings of the international workshop held at Nice, France, 27-30 June 1994
著者
書誌事項
Lévy flights and related topics in physics : proceedings of the international workshop held at Nice, France, 27-30 June 1994
（Lecture notes in physics, 450）
Springer-Verlag, c1995
- : pbk
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
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ISBN 9783540592228
内容説明
P. Levy's work on random walks with infinite moments, developed more than half a century ago, has been appreciated as a foundation of probabilistic aspects of fractals and chaos as well as scale-invariant processes. This is a book for physicists devoted to Levy processes. It includes 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.
- 巻冊次
-
: pbk ISBN 9783662140482
内容説明
P. Levy'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 Levy 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. Levy written by B. Mandelbrot.
目次
Variability of anomalous transport exponents versus different physical situations in geophysical and laboratory turbulence.- Conditionally-averaged dynamics of turbulence, new scaling and stochastic modelling.- Observation of anomalous diffusion and Levy flights.- Chaotic lagrangian motion on a rotating sphere.- Levy walks and lattice gas hydrodynamics.- Definition of stable laws, infinitely divisible laws, and Levy processes.- to fractal sums of pulses.- Time scales in noisy conservative systems.- Geometric constructions in multifractality formalism.- Levy walks in chaotic systems: Useful formulas and recent applications.- Transport and large scale stochasticity for a nonperiodic generalisation of the standard map.- Blowout bifurcations: Symmetry breaking of spatially symmetric chaotic states.- Levy description of anomalous diffusion in dynamical systems.- From Levy flights to the fractional kinetic equation for dynamical chaos.- More Levy distributions in physics.- Aspects of Levy flights in a quenched random force field.- Universality of escape from a half-space for symmetrical random walks.- Derivation of Levy-type anomalous superdiffusion from generalized statistical mechanics.- A dynamical model leading to the breakdown of the Green-Kubo predictions.- Ultra-slow convergence to a Gaussian: The truncated Levy flight.- Fractals in physiological control: From heart beat to gait.- Long-range correlations and generalized Levy walks in DNA sequences.
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