Proves finiteness of λ_c(μ) for the 1D renewal contact process when interarrival distributions are arithmetic or have uniformly small atomic components on short intervals.
Durrett.Ten lectures on particle systems, volume 1608 ofLecture Notes in Math
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Improved Survival Results for the One-Dimensional Renewal Contact Process
Proves finiteness of λ_c(μ) for the 1D renewal contact process when interarrival distributions are arithmetic or have uniformly small atomic components on short intervals.