Transitions on a noncompact Cantor set and random walks on its defining tree

DOI10.1214/12-AIHP496zbMath1286.31006MaRDI QIDQ376693

Jun Kigami

Publication date: 19 November 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aihp/1380718739

zbMATH Keywords

treerandom walksMartin boundaryDirichlet forms\(p\)-adic numbersjump processnoncompact Cantor set

Mathematics Subject Classification ID

Related Items (13)

Stochastic Processes on Ends of Tree and Dirichlet Forms ⋮ Random walks and induced Dirichlet forms on self-similar sets ⋮ Nonlocal Schrödinger equations in metric measure spaces ⋮ Random processes on non-Archimedean spaces ⋮ Sub- and super-diffusion on Cantor sets: beyond the paradox ⋮ Convergences and projection Markov property of Markov processes on ultrametric spaces ⋮ Ultrametric diffusion, exponential landscapes, and the first passage time problem ⋮ A convergence of hunt processes on the ring of \(p\)-adic integers and its application to a random fractal ⋮ A Dirichlet space on ends of tree and Dirichlet forms with a nodewise orthogonal property ⋮ Orlicz norm and Sobolev-Orlicz capacity on ends of tree based on probabilistic Bessel kernels ⋮ Heat kernels for isotropic-like Markov generators on ultrametric spaces: a survey ⋮ A chip-firing and a Riemann-Roch theorem on an ultrametric space ⋮ Non-local operators, non-Archimedean parabolic-type equations with variable coefficients and Markov processes

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