Infinite-Scale Percolation in a New Type of Branching Diffusion Processes

Abstract

We give an account of matter and (basically) a solution of a new class of problems synthesizing percolation theory and branching diffusion processes. They led us to realizing a novel type of stochastic processes, namely branching processes with diffusion on the space of parameters distinguishing the branching `particles' each other.

Comments: 20 pages