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Article Dans Une Revue Stochastic Processes and their Applications Année : 2021

Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process

Xiaofeng Xue
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  • PersonId : 1087943
Linjie Zhao
  • Fonction : Auteur
  • PersonId : 1087944

Résumé

This paper is a further investigation of the problem studied in [Xue & Zhao, Stochastic processes and their applications, 2020], where the authors proved a law of large numbers for the empirical measure of the weakly asymmetric normalized binary contact path process on Zd , d ≥ 3, and then conjectured that a central limit theorem should hold under a non-equilibrium initial condition. We prove that the aforesaid conjecture is true when the dimension d of the underlying lattice and the infection rate λ of the process are sufficiently large.
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Dates et versions

hal-03103489 , version 1 (08-01-2021)

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Citer

Xiaofeng Xue, Linjie Zhao. Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process. Stochastic Processes and their Applications, 2021, 135, pp.227-253. ⟨10.1016/j.spa.2021.02.004⟩. ⟨hal-03103489⟩
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