Description of logarithmic relaxation by a model of a hierarchical random walk.

zbMath1037.60089MaRDI QIDQ1425716

V. A. Avetisov, Sergei V. Kozyrev, Albert Kh. Bikulov

Publication date: 17 March 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

hierarchical random walk\(p\)-adic numberlogarithmic relaxation

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

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Non-Archimedean reaction-ultradiffusion equations and complex hierarchic systems ⋮ Estimates of certain exit probabilities for \(p\)-adic Brownian bridges ⋮ \(p\)-adic Brownian motion as a limit of discrete time random walks ⋮ Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator ⋮ Components and exit times of Brownian motion in two or more \(p\)-adic dimensions ⋮ Blow-up phenomena for \(p\)-adic semilinear heat equations ⋮ Ultrametric diffusion, exponential landscapes, and the first passage time problem ⋮ Finite time blow-up for a \(p\)-adic nonlocal semilinear ultradiffusion equation ⋮ Parabolic type equations and Markov stochastic processes on adeles ⋮ Nonlocal operators, parabolic-type equations, and ultrametric random walks ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ Gene expression from 2-adic dynamical systems

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