Under general decay conditions on long-range interactions, the supercritical contact process on Z^d remains supercritical after truncation and the probability of never recovering is continuous.
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The truncation property and continuity for the long-range contact process on $\mathbb{Z}^d$
Under general decay conditions on long-range interactions, the supercritical contact process on Z^d remains supercritical after truncation and the probability of never recovering is continuous.