Problem of the first passage time for \(p\)-adic diffusion

DOI10.1134/S2070046610020019zbMath1255.60010MaRDI QIDQ1760220

Albert Kh. Bikulov

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

first passage time\(p\)-adic diffusionLevy process on \(p\)-adic numbers

Mathematics Subject Classification ID

Diffusion processes (60J60) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator ⋮ \(p\)-adic Markov process and the problem of first return over balls

Cites Work

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• A random walk on \(p\)-adics -- the generator and its spectrum
• First passage time distribution and the number of returns for ultrametric random walks
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• p-adic description of characteristic relaxation in complex systems
• Application ofp-adic analysis to models of breaking of replica symmetry

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