Ultrametricity of fluctuation dynamic mobility of protein molecules

DOI10.1134/S0081543809020060zbMath1179.92007MaRDI QIDQ1048414

V. A. Avetisov, Albert Kh. Bikulov

Publication date: 12 January 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Biochemistry, molecular biology (92C40) Biophysics (92C05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (11)

\(p\)-adic mathematical physics: the first 30 years ⋮ 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 ⋮ Riesz kernels and pseudodifferential operators attached to quadratic forms over \(p\)-adic fields ⋮ Finite time blow-up for a \(p\)-adic nonlocal semilinear ultradiffusion equation ⋮ Parabolic type equations and Markov stochastic processes on adeles ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ Probability density functions and the dynamics of complex systems associated to some classes of non-Archimedean pseudo-differential operators

Cites Work

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• First passage time distribution and the number of returns for ultrametric random walks
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes

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