TY - JOUR
T1 - The contact process on a tree
T2 - Behavior near the first phase transition
AU - Wu, C. Chris
N1 - Funding Information:
Supported in part by a Research Development Grant from the Penn State University. *E-mail: CCW3@psuvm.psu.edu.
PY - 1995/5
Y1 - 1995/5
N2 - 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 θ(λ) behaves like (λ - λc)β with β = 1 when λ is near but above the critical point λc, and the expected infection time χ(λ) behaves like (λc - λ)-γ with γ = 1 when λ is near but below λc. Analogous results for the oriented percolation model are also obtained.
AB - 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 θ(λ) behaves like (λ - λc)β with β = 1 when λ is near but above the critical point λc, and the expected infection time χ(λ) behaves like (λc - λ)-γ with γ = 1 when λ is near but below λc. Analogous results for the oriented percolation model are also obtained.
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U2 - 10.1016/0304-4149(94)00080-D
DO - 10.1016/0304-4149(94)00080-D
M3 - Article
AN - SCOPUS:0002988718
SN - 0304-4149
VL - 57
SP - 99
EP - 112
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
IS - 1
ER -