Open Access
April, 1995 Improved Upper Bounds for the Contact Process Critical Value
Thomas M. Liggett
Ann. Probab. 23(2): 697-723 (April, 1995). DOI: 10.1214/aop/1176988285


The best known upper bound for the critical value $\lambda_c$ of the basic one dimensional contact process is 2. Most techniques for finding bounds on critical values have the property that they can be modified in order to obtain improved bounds. This seemed not to be the case for the approach which yielded $\lambda_c \leq 2$ for the basic contact process. In this paper, we propose a technique for generating better bounds in this context. To illustrate its use, we carry out the full program in one case, with the conclusion that $\lambda_c \leq 1.942$.


Download Citation

Thomas M. Liggett. "Improved Upper Bounds for the Contact Process Critical Value." Ann. Probab. 23 (2) 697 - 723, April, 1995.


Published: April, 1995
First available in Project Euclid: 19 April 2007

zbMATH: 0832.60093
MathSciNet: MR1334167
Digital Object Identifier: 10.1214/aop/1176988285

Primary: 60K35

Keywords: contact process , critical value

Rights: Copyright © 1995 Institute of Mathematical Statistics

Vol.23 • No. 2 • April, 1995
Back to Top