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Dirichlet Forms and Brownian Motion Penetrating Fractals |
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| Authors: | Jonsson Alf |
| Affiliation: | (1) Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden |
| 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 forms and function space theory. The results obtained are somewhat different from, and from certain aspects more general than, the results in [8]. |
| Keywords: | Dirichlet forms Sierpinski gasket Brownian motion |
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