The contact process on a tree: Behavior near the first phase transition

C. Chris Wu

Stochastic Processes and their Applications, 1995, vol. 57, issue 1, 99-112

Abstract: We study the critical behavior of the contact process on a homogeneous tree. It is shown that if the degree of the tree is greater than four, then the survival probability [theta]([lambda]) behaves like ([lambda] - [lambda]c)[beta] with [beta] = 1 when [lambda] is near but above the critical point [lambda]c, and the expected infection time [chi]([lambda]) behaves like ([lambda]c - [lambda])-[gamma] with [gamma] = 1 when [lambda] is near but below [lambda]c. Analogous results for the oriented percolation model are also obtained.

Keywords: Contact; Process; Oriented; percolation; Critical; exponents (search for similar items in EconPapers)
Date: 1995
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