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Infinite-scale percolation in a new type of branching diffusion process
Authors:A. Mezhlumian  S. A. Molchanov
Affiliation:(1) Department of Physics, Stanford University, 94305-4060 Stanford, California;(2) Department of Mathematics, University of California, 92717 Irvine, California
Abstract:
We give an account and (basically) a solution of a new class of problems synthesizing percolation theory and branching diffusion processes. They lead to a novel type of stochastic process, namely branching processes with diffusion on the space of parameters distinguishing the branching ldquoparticlesrdquo from each other.On leave from L. D. Landau Institute for Theoretical Physics, Moscow, Russia.
Keywords:Branching diffusion  multiscale percolation
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