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Journal Articles Stochastic Processes and their Applications Year : 2021

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

Xiaofeng Xue
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  • PersonId : 1087943
Linjie Zhao
  • Function : Author
  • PersonId : 1087944

Abstract

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 and versions

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

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  • HAL Id : hal-03103489 , version 1

Cite

Xiaofeng Xue, Linjie Zhao. Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process. Stochastic Processes and their Applications, 2021. ⟨hal-03103489⟩
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