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The conformal loop ensemble CLE_kappa is the canonical conformally invariant probability measure on non-crossing loops in a proper simply connected domain in the complex plane. The parameter kappa var...
A GRAIN OF DUST FALLING THROUGH A SIERPINSKI GASKET
Binomial random variables fractals Hausdorff dimension random walks self-similarity
2007/12/12
In this paper we analyze the downward random motion of a particle in a vertical, bounded, Sierpinski gasket $G$, where at each layer either absorption or delays are considered. In the case of motion w...