Uniqueness of Brownian motion on Sierpiński carpets
نویسندگان
چکیده
منابع مشابه
Uniqueness of Brownian motion on Sierpinski carpets
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpinski carpet that is invariant with respect to the local symmetries of the carpet. Consequently for each such fractal the law of Brownian motion is uniquely determined and the Laplacian is well defined. Research partially supported by NSERC (Canada), and EPSRC (UK). Research partially...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2010
ISSN: 1435-9855
DOI: 10.4171/jems/211