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 θ(λ) behaves like ( λ − λ c) β with β = 1 when λ is near but above the critical point λ c, and the expected infection time χ(λ) behaves like ( λ c − λ) − γ with γ = 1 when λ is near but below λ c. Analogous results for the oriented percolation model are also obtained.
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