Brownian motion on the Sierpinski carpet

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  • 9 December 2008
Abstract
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpinski carpet that is invariant with respectto the local symmetries of the carpet. Consequently for each suchfractal the law of Brownian motion is uniquely determined and theLaplacian is well defined.

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