A random walk on the profinite completion of a finitely generated group

DOI10.1016/j.spl.2018.07.016zbMath1406.60109OpenAlexW2884536234WikidataQ129483983 ScholiaQ129483983MaRDI QIDQ1726719

Samuel Estala-Arias, Manuel Cruz-López

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.07.016

zbMATH Keywords

random walksprofinite completionsprofinite groups

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Probability theory on algebraic and topological structures (60B99)

Cites Work

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• Markov processes on the adeles and Dedekind's zeta function
• Dirichlet forms and symmetric Markov processes.
• A random walk on the profinite completion of \(\mathbb{Z}\)
• A random walk on \(p\)-adics -- the generator and its spectrum
• Local properties of Lévy processes on a totally disconnected group
• Markov processes on the adeles and Chebyshev function
• Invariant ultrametrics and Markov processes on the finite adèle ring of \(\mathbb{Q}\)
• The baseleaf preserving mapping class group of the universal hyperbolic solenoid

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