Random walks on finite nilpotent groups driven by long-jump measures

DOI10.1214/22-EJP745zbMath1486.60006arXiv1911.06309OpenAlexW2988699915MaRDI QIDQ2119684

Yanyan Li

Publication date: 30 March 2022

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

Full work available at URL: https://arxiv.org/abs/1911.06309

zbMATH Keywords

mixing timerandom walk on finite groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Random walks and isoperimetric profiles under moment conditions
• Nash inequalities for finite Markov chains
• Random walks on nilpotent groups driven by measures supported on powers of generators
• Moderate growth and random walk on finite groups
• On-diagonal lower bounds for heat kernels and Markov chains
• Long range random walks and associated geometries on groups of polynomial growth
• Croissance polynomiale et périodes des fonctions harmoniques
• Random walks and anO*(n5) volume algorithm for convex bodies
• On the stability of the behavior of random walks on groups
• Random walks under slowly varying moment conditions on groups of polynomial volume growth
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