vix.ing · top · new · best · stats · spec

An improved upper bound for critical value of the contact process on ℤd with d≥ 3

2018/02/07 by Xue, Xiaofeng
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1802.02394

Abstract

In this paper we give an improved upper bound for critical value λc of the basic contact process on the lattice ℤd with d≥ 3. As a direct corollary of out result, λc≤ 0.384. when d=3.

Related