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arXiv · 1011.0420

Regeneration of extremal particles for one-dimensional contact processes

Achillefs Tzioufas
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Abstract

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.

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Achillefs Tzioufas. 2010-11-01. Regeneration of extremal particles for one-dimensional contact processes. https://arxiv.org/abs/1011.0420

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