Phase transition for large dimensional contact process with random recovery rates on open clusters

2014/09/25 by Xue, Xiaofeng
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1409.7248

Abstract

In this paper we are concerned with contact process with random recovery rates on open clusters of bond percolation on ℤ^d. Let ξ be a positive random variable, then we assigned i. i. d. copies of ξ on the vertices as the random recovery rates. Assuming that each edge is open with probability p and log d vertices are occupied at t=0, we prove that the following phase transition occurs. When the infection rate λλ_c, the process survives with high probability.

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