Harmonic measure of the planar Cantor set from the viewpoint of graph theory

DOI10.1016/0012-365X(92)90290-VzbMath0782.05085OpenAlexW1990449304MaRDI QIDQ686301

Wolfgang Woess, Massimo A. Picardello, Mitchell H. Taibleson

Publication date: 14 October 1993

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(92)90290-v

zbMATH Keywords

graphBrownian motionharmonic measurerandom walktwo-dimensional Cantor set

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Graph theory (05C99) Other combinatorial set theory (03E05) Hausdorff and packing measures (28A78) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (1)

Twist points of the von Koch snowflake

Cites Work

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• Hausdorff dimension of harmonic measures in the plane
• On the dimension of harmonic measure of Cantor repellers
• Über die Enden diskreter Räume und Gruppen
• On the support of harmonic measure for sets of Cantor type

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