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arXiv · 1802.02394

An improved upper bound for critical value of the contact process on $\mathbb{Z}^d$ with $d\geq 3$

Xiaofeng Xue
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Abstract

In this paper we give an improved upper bound for critical value $\lambda_c$ of the basic contact process on the lattice $\mathbb{Z}^d$ with $d\geq 3$. As a direct corollary of out result, \[ \lambda_c\leq 0.384. \] when $d=3$.

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Xiaofeng Xue. 2018-02-07. An improved upper bound for critical value of the contact process on $\mathbb{Z}^d$ with $d\geq 3$. https://arxiv.org/abs/1802.02394

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