Brownian motion on fractals and function spaces.
Alf Jonsson (1996)
Mathematische Zeitschrift
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Alf Jonsson (1996)
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We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpi´nski 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.
Bernt Oksendal (1988)
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Krysztof Burdza (1986)
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Tsirelson, Boris (1998)
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Jonathan Warren (1999)
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