The harmonic measure of balls in random trees

DOI10.1214/15-AOP1050zbMath1358.05084arXiv1304.7190MaRDI QIDQ516119

Jean-François Le Gall, Nicolas Curien

Publication date: 22 March 2017

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7190

zbMATH Keywords

Brownian motionHausdorff dimensionharmonic measurerandom walkGalton-Watson treerandom treeconductance

Mathematics Subject Classification ID

Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Probabilistic potential theory (60J45) Distance in graphs (05C12) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Random walks on graphs (05C81)

Related Items (3)

Invariant measures, Hausdorff dimension and dimension drop of some harmonic measures on Galton-Watson trees ⋮ Typical behavior of the harmonic measure in critical Galton-Watson trees with infinite variance offspring distribution ⋮ Branching random walks conditioned on particle numbers

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