Details

Autor(en) / Beteiligte

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

Titel

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

Ist Teil von

• Discrete mathematics, 1992-11, Vol.109 (1-3), p.193-202

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

1992

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• This paper outlines a graph-theoretical approach to the study of the harmonic measure on the two-dimensional Cantor set. The Cantor set is regarded as the space of ends of a (nonplanar) graph with a tree-like structure. The method is based upon the combinatorics of the random walk with internal states induced on this graph by Brownian motion, and it could be used for numerical approximation.