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Transition density estimates for Brownian motion on scale irregular Sierpinski gaskets

Transition density estimates for Brownian motion on scale irregular Sierpinski gaskets

We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not have any exact self-similarity. We obtain transition density estimates for this process which are up to constants best possible. Nous construisons un mouvement Brownien sur une classe de fractals homogènes en espace mais …