Dirichlet forms and Brownian motion penetrating fractals

Authors
Jonsson, A
Citation
A. Jonsson, Dirichlet forms and Brownian motion penetrating fractals, POTENT ANAL, 13(1), 2000, pp. 69-80
Citations number
8
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
13
Issue
1
Year of publication
2000
Pages
69 - 80
Database
ISI
SICI code
0926-2601(200008)13:1<69:DFABMP>2.0.ZU;2-Q
Abstract
Can a Brownian motion penetrate the two-dimensional Sierpinski gasket? This question was studied in [8], and an affirmative answer was given. In this paper, the problem is studied with a different approach, using Dirichlet fo rms and function space theory. The results obtained are somewhat different from, and from certain aspects more general than, the results in [8].