Nonlocal operators, parabolic-type equations, and ultrametric random walks

DOI10.1063/1.4828857zbMath1288.82027arXiv1308.5013OpenAlexW2035553977MaRDI QIDQ5410929

Leonardo Fabio Chacón-Cortés, Wilson A. Zuniga-Galindo

Publication date: 17 April 2014

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

Full work available at URL: https://arxiv.org/abs/1308.5013

zbMATH Keywords

random walksnonlocal operatorsparabolic-type pseudodifferential equations

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (20)

A stochastic \(p\)-adic model of the capillary flow in porous random medium ⋮ Erratum: “Nonlocal operators, parabolic-type equations, and ultrametric random walks” [J. Math. Phys. 54, 113503 (2013)] ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators ⋮ Brownian motion and finite approximations of quantum systems over local fields ⋮ Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator ⋮ Some classes of non-Archimedean pseudo-differential operators related to Bessel potentials ⋮ Transport through a network of capillaries from ultrametric diffusion equation with quadratic nonlinearity ⋮ Blow-up phenomena for \(p\)-adic semilinear heat equations ⋮ Ultrametric diffusion, exponential landscapes, and the first passage time problem ⋮ \(p\)-adic wavelets and their applications ⋮ Heat Traces and Spectral Zeta Functions for $p$-adic Laplacians ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ Continuous time \(p\)-adic random walks and their path integrals ⋮ Transience and recurrence of random walks on percolation clusters in an ultrametric space ⋮ Probability density functions and the dynamics of complex systems associated to some classes of non-Archimedean pseudo-differential operators ⋮ \(p\)-adic Markov process and the problem of first return over balls ⋮ Non-Archimedean pseudodifferential operators and Feller semigroups ⋮ Non-local operators, non-Archimedean parabolic-type equations with variable coefficients and Markov processes ⋮ Local well-posedness of the Cauchy problem for a \(p\)-adic Nagumo-type equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parabolic type equations and Markov stochastic processes on adeles
• Pseudo-differential operators with semi-quasielliptic symbols over \(p\)-adic fields
• Path integrals for a class of \(p\)-adic Schrödinger equations
• \(p\)-adic pseudodifferential operators and analytic continuation of replica matrices
• Taibleson operators, \(p\)-adic parabolic equations and ultrametric diffusion
• On \(p\)-adic mathematical physics
• Noncommutative classical and quantum mechanics for quadratic Lagrangians (Hamiltonians)
• Description of logarithmic relaxation by a model of a hierarchical random walk.
• Parabolic equations and Markov processes over \(p\)-adic fields
• Diffusion processes with ultrametric jumps
• Wavelets on ultrametric spaces
• \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
• First passage time distribution and the number of returns for ultrametric random walks
• Fourier Analysis on Local Fields. (MN-15)
• One-Parameter Semigroups for Linear Evolution Equations
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• p-adic description of characteristic relaxation in complex systems
• Pseudodifferential operators on ultrametric spaces and ultrametric wavelets

This page was built for publication: Nonlocal operators, parabolic-type equations, and ultrametric random walks