Exponential rate for the contact process extinction time

Schapira, Bruno; Valesin, Daniel

doi:10.5802/afst.1683

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Proof Of Theorem 11(ii)1

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2022

2024

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“…, n} d . The following result follows from Proposition 3.2 in [27] (which in turn is proved using results from [6] and [24]). For the rest of this section we fix d ≥ 2 and p > p c (Z d ).…”

Section: Proof Of Theorem 11(ii)mentioning

confidence: 78%

Results on the contact process with dynamic edges or under renewals

Hilário¹,

Ungaretti²,

Valesin

et al. 2022

Electron. J. Probab.

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We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument for proving extinction in such models. With this method, we obtain results on the phase diagram of two models: the Contact Process on Dynamic Edges introduced by Linker and Remenik and a generalization of the Renewal Contact Process introduced by Fontes, Marchetti, Mountford and Vares.

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Section: Proof Of Theorem 11(ii)mentioning

confidence: 78%