Stochastic \(p\)-adic equations of mathematical physics

DOI10.1007/BF02557352zbMath0951.60073OpenAlexW2170418089MaRDI QIDQ1567773

Albert Kh. Bikulov

Publication date: 13 December 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557352

zbMATH Keywords

\(p\)-adic Brownian sheet\(p\)-adic Lévy Brownian motion\(p\)-adic white noise\(p\)-adic Wiener process

Mathematics Subject Classification ID

Random fields (60G60) General quantum mechanics and problems of quantization (81S99) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic analysis (60H99)

Related Items (5)

Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ APPLICATION OF p-ADIC ANALYSIS TO TIME SERIES ⋮ \(p\)-adic Brownian motion over \(\mathbb Q_p\)

Cites Work

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• Investigation of \(p\)-adic Green's function
• A random walk on \(p\)-adics -- the generator and its spectrum
• Stochastic integrals and stochastic differential equations over the field of \(p\)-adic numbers
• Hierarchical structures and asymmetric stochastic processes on p-adics and adeles

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