Markov processes on the adeles and representations of Euler products

DOI10.1007/s10959-009-0222-xzbMath1203.60112OpenAlexW2137662959MaRDI QIDQ1960228

Kumi Yasuda

Publication date: 13 October 2010

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-009-0222-x

zbMATH Keywords

Markov processzeta functionEuler productadeles

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (5)

Wavelet analysis on adeles and pseudo-differential operators ⋮ Markov processes on the adeles and Dedekind's zeta function ⋮ Parabolic type equations and Markov stochastic processes on adeles ⋮ Probabilistic trace and Poisson summation formulae on locally compact abelian groups ⋮ Pseudodifferential operators and Markov processes on adèles

Cites Work

• Semi-stable processes on local fields
• Dirichlet forms and symmetric Markov processes
• A random walk on \(p\)-adics -- the generator and its spectrum
• Basic number theory.
• Hierarchical structures and asymmetric stochastic processes on p-adics and adeles
• Markov Chains
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