Search reliability and search efficiency of combined Lévy–Brownian motion: long relocations mingled with thorough local exploration

DOI10.1088/1751-8113/49/39/394002zbMath1350.60044arXiv1609.03822OpenAlexW3104115863MaRDI QIDQ2826722

Ralf Metzler, Vladimir V. Palyulin, Aleksei V. Chechkin, Rainer Klages

Publication date: 18 October 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03822

zbMATH Keywords

Brownian motionfractional Fokker-Planck equationbiological systemsLévy flightssearch reliability

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Brownian motion (60J65) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05)

Related Items (9)

First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method ⋮ Generalized diffusion and random search processes ⋮ First passage time moments of asymmetric Lévy flights ⋮ Preface: Marian Smoluchowski’s 1916 paper—a century of inspiration ⋮ Anomalous diffusion and random search in xyz-comb: exact results ⋮ Conservative random walks in confining potentials ⋮ Stochastic dynamics driven by combined Lévy–Gaussian noise: fractional Fokker–Planck–Kolmogorov equation and solution ⋮ First-passage properties of asymmetric Lévy flights ⋮ Random search on comb

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