Lévy Flights and Related Topics in Physics Proceedings of the International Workshop Held at Nice, France, 27–30 June 1994

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 i...

Full description

Bibliographic Details
Other Authors: Shlesinger, Michael F. (Editor), Zaslavsky, George M. (Editor), Frisch, Uriel (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1995, 1995
Edition:1st ed. 1995
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03531nmm a2200373 u 4500
001 EB000658950
003 EBX01000000000000000512032
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783540492252 
100 1 |a Shlesinger, Michael F.  |e [editor] 
245 0 0 |a Lévy Flights and Related Topics in Physics  |h Elektronische Ressource  |b Proceedings of the International Workshop Held at Nice, France, 27–30 June 1994  |c edited by Michael F. Shlesinger, George M. Zaslavsky, Uriel Frisch 
250 |a 1st ed. 1995 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1995, 1995 
300 |a XV, 350 p. 26 illus  |b online resource 
505 0 |a 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 Lévy flights -- Chaotic lagrangian motion on a rotating sphere -- Lévy walks and lattice gas hydrodynamics -- Definition of stable laws, infinitely divisible laws, and Lévy processes -- to fractal sums of pulses -- Time scales in noisy conservative systems -- Geometric constructions in multifractality formalism -- Lévy 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 -- Lévy description of anomalous diffusion in dynamical systems -- From Lévy flights to the fractional kinetic equation for dynamical chaos -- More Lévy distributions in physics -- Aspects of Lévy flights in a quenched random force field -- Universality of escape from a half-space for symmetrical random walks -- Derivation of Lévy-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 Lévy flight -- Fractals in physiological control: From heart beat to gait -- Long-range correlations and generalized Lévy walks in DNA sequences 
653 |a Complex Systems 
653 |a Thermodynamics 
653 |a Probability Theory 
653 |a System theory 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Mathematical Methods in Physics 
653 |a Probabilities 
700 1 |a Zaslavsky, George M.  |e [editor] 
700 1 |a Frisch, Uriel  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Physics 
028 5 0 |a 10.1007/3-540-59222-9 
856 4 0 |u https://doi.org/10.1007/3-540-59222-9?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.1 
520 |a 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