Some aspects of \(m\)-adic analysis and its applications to \(m\)-adic stochastic processes

DOI10.1134/S2070046611010043zbMath1268.60076arXiv1012.1248MaRDI QIDQ1760254

Alexander P. Zubarev, Mikhail V. Dolgopolov

Publication date: 13 November 2012

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

Full work available at URL: https://arxiv.org/abs/1012.1248

zbMATH Keywords

\(m\)-adic analysis\(m\)-adic continuous time random walk process\(m\)-adic stochastic processes

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Stochastic processes (60G99) Applications of functional analysis in probability theory and statistics (46N30)

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Cites Work

• Tables of integrals for complex-valued functions of \(p\)-adic arguments
• On \(p\)-adic mathematical physics
• \(p\)-adic spherical coordinates and their applications
• Random Walks on Lattices. II
• 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
• Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
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