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020 _a9783540492252
_9978-3-540-49225-2
024 7 _a10.1007/3-540-59222-9
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aSCI055000
_2bisacsh
072 7 _aPHS
_2thema
072 7 _aPHDT
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082 0 4 _a621
_223
245 1 0 _aLévy Flights and Related Topics in Physics
_h[electronic resource] :
_bProceedings of the International Workshop Held at Nice, France, 27–30 June 1994 /
_cedited by Micheal F. Shlesinger, George M. Zaslavsky, Uriel Frisch.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1995.
300 _aXV, 350 p. 26 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v450
505 0 _aVariability 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.
520 _aP. 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.
650 0 _aThermodynamics.
650 0 _aDistribution (Probability theory.
650 0 _aMathematical physics.
650 0 _aStatistical physics.
650 1 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aShlesinger, Micheal F.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aZaslavsky, George M.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aFrisch, Uriel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662140482
776 0 8 _iPrinted edition:
_z9783662140475
776 0 8 _iPrinted edition:
_z9783540592228
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v450
856 4 0 _uhttps://doi.org/10.1007/3-540-59222-9
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
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