Invariant measures exist for perturbed continuum contact processes without the criticality condition, and local mortality peaks do not lead to extinction, characterized via the Feynman-Kac formula.
Lenard, Correlation functions and the uniqueness of the state in classical statistical mechanics, Comm
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Persistence in perturbed contact models in continuum
Invariant measures exist for perturbed continuum contact processes without the criticality condition, and local mortality peaks do not lead to extinction, characterized via the Feynman-Kac formula.