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A Markov Chain Algorithm for determining Crossing Times through nested Graphs

Abstract : According to the by now established theory developed in order to define a Laplacian or ― equivalently ― a Brownian motion on a nested fractal, one has to solve certain renormalization problems. In this paper, we present a Markov chain algorithm solving the problem for certain classes of simple fractals $K$ provided that there exists a unique Brownian motion and hence, a unique Laplacian on $K$.
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https://hal.inria.fr/hal-01194670
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Uta Freiberg, Christoph Thäle. A Markov Chain Algorithm for determining Crossing Times through nested Graphs. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.501-518, ⟨10.46298/dmtcs.3587⟩. ⟨hal-01194670⟩

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