Potential theory of random wlaks on Abelian groups

DOI10.1007/BF02392007zbMath0183.47201OpenAlexW2087165912MaRDI QIDQ2535622

Charles J. Stone, Sidney C. Port

Publication date: 1969

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392007

zbMATH Keywords

probability theory

Related Items

Potential theory for infinitely divisible processes on Abelian groups, Random walks with killing, Tail homogeneity of invariant measures of multidimensional stochastic recursions in a critical case, Ground states for nonlocal Schrödinger type operators on locally compact abelian groups, On homogeneous and oscillating random walks on the integers, Local time penalizations with various clocks for Lévy processes, On the invariant measure of the random difference equation \(X_{n} = a_{n}x_{n - 1} + b_{n}\) in the critical case, Marches récurrentes au sens de Harris sur les groupes localement compacts. I, Recurrent random walks on certain classes of groups, On invariant measures of stochastic recursions in a critical case, Renewal theory on the affine group of an oriented tree, Sur la théorie du renouvellement pour les groupes non abeliens, On the derivative martingale in a branching random walk, Infinitely divisible processes and their potential theory. II, Unions of random walk and percolation on infinite graphs, Fixed points of the smoothing transformation, Comportement asymptotique du noyau potentiel sur les groupes de Lie, Transient Markov convolution semi-groups and the associated negative definite functions, Unnamed Item, [https://portal.mardi4nfdi.de/wiki/Publication:4775260 Marches al�atoires sur un groupe nilpotent]

Cites Work

• Limit theorems involing capacities for recurrent Markov chains
• Random walk on countably infinite Abelian groups
• Ratio theorems for random walks. I
• Products of independent random elements in a topological group
• On Absolutely Continuous Components and Renewal Theory
• Ratio Limit Theorems for Random Walks on Groups
• Random walks. I
• On the Potential Operator for One-Dimensional Recurrent Random Walks
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item