Invariant ultrametrics and Markov processes on the finite adèle ring of \(\mathbb{Q}\)

DOI10.1134/S2070046616020011zbMath1370.11127MaRDI QIDQ2628820

Samuel Estala-Arias, Manuel Cruz-López

Publication date: 18 July 2016

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

random walksultrametricsprofinite completionfinite adèle group

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Adèle rings and groups (11R56)

Related Items (6)

Non-Archimedean analysis and a wave-type pseudodifferential equation on finite adèles ⋮ A random walk on the profinite completion of \(\mathbb{Z}\) ⋮ A heat equation on some adic completions of \(\mathbb{Q}\) and ultrametric analysis ⋮ A random walk on the profinite completion of a finitely generated group ⋮ Pseudodifferential operators and Markov processes on certain totally disconnected groups ⋮ Pseudodifferential operators and Markov processes on adèles

Cites Work

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• Number theory as the ultimate physical theory
• Local properties of Lévy processes on a totally disconnected group
• Markov processes on the adeles and Chebyshev function
• Wavelets on ultrametric spaces
• Diffusion on locally compact ultrametric spaces.
• Adic Topologies for the Rational Integers
• Jump processes on leaves of multibranching trees

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