Abstract
We show that for a uniformly irreducible random walk on a graph, with bounded range, there is a Floyd function for which the random walk converges to its corresponding Floyd boundary. Moreover if we add the assumptions, p (n) (v, w)≤Cρ n, where ρ<1 is the spectral radius, then for any Floyd function f that satisfies ∑∞ n=1 nf(n)<∞, the Dirichlet problem with respect to the Floyd boundary is solvable.
Originalsprache | englisch |
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Seiten (von - bis) | 183-194 |
Seitenumfang | 12 |
Fachzeitschrift | Arkiv för Matematik |
Jahrgang | 60 |
Ausgabenummer | 1 |
DOIs | |
Publikationsstatus | Veröffentlicht - 16 Mai 2022 |
ASJC Scopus subject areas
- Mathematik (insg.)