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Dirichlet forms and Brownian motion penetrating fractals
Umeå University, Faculty of Science and Technology, Department of mathematics.
2000 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 13, no 1, 69-80 p.Article in journal (Refereed) Published
Abstract [en]

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].

Place, publisher, year, edition, pages
Dordrecht: Kluwer Academic Publishers, 2000. Vol. 13, no 1, 69-80 p.
Keyword [en]
Dirichlet forms, Sierpinski gasket, Brownian motion
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-19710DOI: 10.1023/A:1008601800611ISI: 000088042600003OAI: oai:DiVA.org:umu-19710DiVA: diva2:202395
Available from: 2009-03-10 Created: 2009-03-10 Last updated: 2017-12-13Bibliographically approved

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