\(p\)-adic Brownian motion over \(\mathbb Q_p\)

DOI10.1134/S0081543809020102zbMath1185.60056OpenAlexW2031938493MaRDI QIDQ1048421

Kenji Kamizono

Publication date: 12 January 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809020102

zbMATH Keywords

approximationBrownian motion over the \(p\)-adic numbers, random walks over the \(p\)-adic numbers

Mathematics Subject Classification ID

Stochastic processes (60G99)

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Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ \(Q_p\)-valued jump processes associated with linear and nonlinear pseudo-differential equations ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ On \(p\)-adic mathematical physics

Cites Work

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• Stochastic \(p\)-adic equations of mathematical physics
• p -adic Brownian motion
• Symmetric stochastic integrals with respect to p-adic Brownian motion
• ULTRAMETRIC RANDOM FIELD