A class of spatially inhomogeneous Dirichlet spaces on the \(p\)-adic number field.

DOI10.1016/S0304-4149(99)00124-6zbMath1047.60077WikidataQ126439483 ScholiaQ126439483MaRDI QIDQ1877508

Hiroshi Kaneko

Publication date: 7 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

recurrencetransience\(p\)-adic numberFourier transformationinhomogeneous stochastic processes

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Algebraic number theory: local fields (11S99)

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Cites Work

• On conservativeness and recurrence criteria for Markov processes.
• Symmetric Markov processes
• Dirichlet forms and symmetric Markov processes
• A random walk on \(p\)-adics -- the generator and its spectrum
• Asymptotics and spectral results for random walks on \(p\)-adics
• Local properties of Lévy processes on a totally disconnected group
• 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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