Rate of convergence for large coupling limits by brownian motion
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Annales de l'I.H.P. Physique théorique
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Annales de l'I.H.P. Physique théorique
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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.
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