A lift of spatially inhomogeneous Markov process to extensions of the field of \(p\)-adic numbers

DOI10.1016/j.spa.2010.10.008zbMath1229.11151OpenAlexW2030892526MaRDI QIDQ550143

Yoichi Tsuzuki, Hiroshi Kaneko

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.spa.2010.10.008

zbMATH Keywords

Markov process\(p\)-adic field

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• Analytic potential theory over the \(p\)-adics
• Quantizations and symbolic calculus over the \(p\)-adic numbers
• A random walk on \(p\)-adics -- the generator and its spectrum
• Hausdorff measure for a stable-like process over an infinite extension of a local field
• Transition semi-groups on a local field induced by Galois group and their representation
• Hierarchical structures and asymmetric stochastic processes on p-adics and adeles
• Capacities associated with Dirichlet space on an infinite extension of a local field
• Extension of measures to infinite dimensional spaces over \(p\)-adic field.