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Cumulant Approach of Arbitrary Truncated Levy Flight [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2010
The problem of an arbitrary truncated Levy flight description using the method of cumulant approach has been solved. The set of cumulants of the truncated Levy distribution given the assumption of arbitrary truncation has been found.
Vinogradov, Dmitry V.
core   +2 more sources

Cuckoo Search via Levy Flights [PDF]

open access: yes, 2009
In this paper, we intend to formulate a new metaheuristic algorithm, called Cuckoo Search (CS), for solving optimization problems. This algorithm is based on the obligate brood parasitic behaviour of some cuckoo species in combination with the Levy ...
Deb, Suash, Yang, Xin-She
core   +2 more sources

Computer Simulation Study of the Levy Flight Process [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2010
Random walk simulation of the Levy flight shows a linear relation between the mean square displacement and time. We have analyzed different aspects of this linearity.
Bouchaud   +22 more
core   +2 more sources

Mean number of visits to sites in Levy flights [PDF]

open access: yesPhysical Review E, 2006
Formulas are derived to compute the mean number of times a site has been visited during symmetric Levy flights. Unrestricted Levy flights are considered first, for lattices of any dimension: conditions for the existence of finite asymptotic maps of the ...
Ferraro, M, Zaninetti, L
core   +5 more sources

Mutations as Levy flights [PDF]

open access: yesScientific Reports, 2021
AbstractData from a long time evolution experiment with Escherichia Coli and from a large study on copy number variations in subjects with European ancestry are analyzed in order to argue that mutations can be described as Levy flights in the mutation space. These Levy flights have at least two components: random single-base substitutions and large DNA
Dario A. Leon, Augusto Gonzalez
openaire   +4 more sources

Lévy flights and earthquakes [PDF]

open access: yesGeophysical Research Letters, 2000
Lévy flights representation is proposed to describe earthquake characteristics like the distribution of waiting times and position of hypocenters in a seismic region. Over 7500 microearthquakes and earthquakes from 1985 to 1994 were analyzed to test that its spatial and temporal distributions are such that can be described by a Lévy flight with ...
Sotolongo-Costa, O.   +4 more
openaire   +2 more sources

Clustering Using Levy Flight Cuckoo Search [PDF]

open access: yes, 2012
In this paper, a comparative study is carried using three nature-inspired algorithms namely Genetic Algorithm (GA), Particle Swarm Optimization (PSO) and Cuckoo Search (CS) on clustering problem. Cuckoo search is used with levy flight. The heavy-tail property of levy flight is exploited here.
Senthilnath, J   +3 more
openaire   +2 more sources

Slow Lévy flights [PDF]

open access: yesPhysical Review E, 2016
Among Markovian processes, the hallmark of Lévy flights is superdiffusion, or faster-than-Brownian dynamics. Here we show that Lévy laws, as well as Gaussian distributions, can also be the limit distributions of processes with long-range memory that exhibit very slow diffusion, logarithmic in time.
Boyer, D., Pineda, I.
openaire   +4 more sources

Levy Flights Over Quantum Paths [PDF]

open access: yesVolume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 2005
An impact of integration over the paths of the Le´vy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox H-function. A new equation for the kernel of a partical in the box has been found.
openaire   +4 more sources

Lévy flights and Lévy-Schrödinger semigroups [PDF]

open access: yesOpen Physics, 2010
Abstract We analyze two different confining mechanisms for Lévy flights in the presence of external potentials. One of them is due to a conservative force in the corresponding Langevin equation. Another is implemented by Lévy-Schrödinger semigroups which induce so-called topological Lévy processes (Lévy flights with locally modified jump
openaire   +3 more sources

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