LEADER 05273nam 22007335 450 001 996466693803316 005 20200701133747.0 010 $a3-540-49225-9 024 7 $a10.1007/3-540-59222-9 035 $a(CKB)1000000000234262 035 $a(SSID)ssj0000324405 035 $a(PQKBManifestationID)12064891 035 $a(PQKBTitleCode)TC0000324405 035 $a(PQKBWorkID)10304930 035 $a(PQKB)11247325 035 $a(DE-He213)978-3-540-49225-2 035 $a(PPN)155187732 035 $a(EXLCZ)991000000000234262 100 $a20121227d1995 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLévy Flights and Related Topics in Physics$b[electronic resource] $eProceedings of the International Workshop Held at Nice, France, 27?30 June 1994 /$fedited by Michael F. Shlesinger, George M. Zaslavsky, Uriel Frisch 205 $a1st ed. 1995. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1995. 215 $a1 online resource (XV, 350 p. 26 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v450 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-59222-9 327 $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. 330 $aP. Lévy's work on random walks with infinite moments, developed more than half a century ago, has now been fully appreciated as a foundation of probabilistic aspects of fractals and chaos as well as scale-invariant processes. This is the first book for physicists devoted to Lévy processes. It includes thorough review articles on applications in fluid and gas dynamics, in dynamical systems including anomalous diffusion and in statistical mechanics. Various articles approach mathematical problems and finally the volume addresses problems in theoretical biology. The book is introduced by a personal recollection of P. Lévy written by B. Mandelbrot. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v450 606 $aStatistical physics 606 $aDynamical systems 606 $aThermodynamics 606 $aProbabilities 606 $aPhysics 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aThermodynamics. 615 0$aProbabilities. 615 0$aPhysics. 615 14$aComplex Systems. 615 24$aThermodynamics. 615 24$aProbability Theory and Stochastic Processes. 615 24$aMathematical Methods in Physics. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.1/59282 702 $aShlesinger$b Michael F$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aZaslavsky$b George M$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFrisch$b Uriel$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a996466693803316 996 $aLévy Flights and Related Topics in Physics$92519153 997 $aUNISA