Time-inhomogeneous stochastic processes on the \(p\)-adic number field

DOI10.2748/tmj/1113247446zbMath1036.60053OpenAlexW2037319622MaRDI QIDQ1422330

Hiroshi Kaneko

Publication date: 11 February 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247446

zbMATH Keywords

stochastic differential equationmartingalestochastic integral\(p\)-adic number

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dirichlet forms (31C25) Martingales with continuous parameter (60G44) (p)-adic and power series fields (11D88)

Related Items (7)

Sobolev space and Dirichlet space associated with symmetric Markov process on a local field ⋮ A stochastic \(p\)-adic model of the capillary flow in porous random medium ⋮ Random processes on non-Archimedean spaces ⋮ Transition semi-groups on a local field induced by Galois group and their representation ⋮ Weak solutions of stochastic differential equations over the field of \(p\)-adic numbers ⋮ \((r, p)\)-capacity and Hausdorff measure on a local field ⋮ Hausdorff dimension and hierarchical system dynamics

Cites Work

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• Local properties of Lévy processes on a totally disconnected group
• A class of spatially inhomogeneous Dirichlet spaces on the \(p\)-adic number field.
• A Saint-Venant type principle for Dirichlet forms on discontinuous media
• Hierarchical structures and asymmetric stochastic processes on p-adics and adeles

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