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Continuity of the asymptotic shape of the supercritical contact process

Abstract : We prove the continuity of the shape governing the asymptotic growth of the supercritical contact process in Z^d , with respect to the infection parameter. The proof is valid in any dimension d ≥ 1.
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https://hal.archives-ouvertes.fr/hal-01115786
Contributor : Olivier Garet <>
Submitted on : Wednesday, February 11, 2015 - 5:38:07 PM
Last modification on : Friday, March 27, 2020 - 3:57:39 AM
Document(s) archivé(s) le : Tuesday, May 12, 2015 - 11:38:37 AM

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  • HAL Id : hal-01115786, version 1
  • ARXIV : 1502.03557

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Olivier Garet, Régine Marchand, Marie Théret. Continuity of the asymptotic shape of the supercritical contact process. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2015, 20 (92), pp.1-11. ⟨hal-01115786⟩

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