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Infinite-scale percolation in a new type of branching diffusion process

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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 “particles” from each other.

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Authors and Affiliations

  1. Department of Physics, Stanford University, 94305-4060, Stanford, California

    A. Mezhlumian

  2. Department of Mathematics, University of California, 92717, Irvine, California

    S. A. Molchanov

Authors
  1. A. Mezhlumian
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  2. S. A. Molchanov
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On leave from L. D. Landau Institute for Theoretical Physics, Moscow, Russia.

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Mezhlumian, A., Molchanov, S.A. Infinite-scale percolation in a new type of branching diffusion process. J Stat Phys 71, 799–816 (1993). https://doi.org/10.1007/BF01058448

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  • DOI: https://doi.org/10.1007/BF01058448

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