Regeneration of extremal particles for one-dimensional contact processes

A. Tzioufas

2015, v.21, Issue 2, 275-282


A new, conceptual proof approach for establishing the existence of regenerative space-time points for symmetric, translation invariant, finite-range interaction contact processes on survival is shown. The proof is elementary, complements the original one, and employs symmetry-based coupling arguments and a new consequence of convergence to equilibrium of the process in order to circumvent the original block construction.

Keywords: contact process, coupling, regenerative space-time points


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