Diffusion processes with ultrametric jumps

DOI10.1016/S0034-4877(07)00025-0zbMath1210.60092OpenAlexW2054251812MaRDI QIDQ2477366

Witold Karwowski

Publication date: 13 March 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(07)00025-0

zbMATH Keywords

diffusionjumpsspin glassesDirichlet formsultrametricityp-adics

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Diffusion processes (60J60) Probabilistic potential theory (60J45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (14)

Stochastic Processes on Ends of Tree and Dirichlet Forms ⋮ Besov space and trace theorem on a local field and its application ⋮ Introduction: Advancing Non-Archimedean Mathematics ⋮ Introduction: Nature and Its Mathematics ⋮ Random processes on non-Archimedean spaces ⋮ Blow-up phenomena for \(p\)-adic semilinear heat equations ⋮ Sub- and super-diffusion on Cantor sets: beyond the paradox ⋮ Ultrametric diffusion, exponential landscapes, and the first passage time problem ⋮ Finite time blow-up for a \(p\)-adic nonlocal semilinear ultradiffusion equation ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ Nonlocal operators, parabolic-type equations, and ultrametric random walks ⋮ Dirichlet forms for diffusion in \(\mathbb R^2\) and jumps on fractals: the regularity problem ⋮ \(p\)-adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes ⋮ Non-local operators, non-Archimedean parabolic-type equations with variable coefficients and Markov processes

Cites Work

• Closability and resolvent of Dirichlet forms perturbed by jumps
• Dirichlet forms and symmetric Markov processes
• A random walk on \(p\)-adics -- the generator and its spectrum
• Jump processes on leaves of multibranching trees
• Unnamed Item

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