Non-equilibrium fluctuations of the weakly asymmetric normalized binary contact path process

Xiaofeng Xue and Linjie Zhao

Stochastic Processes and their Applications, 2021, vol. 135, issue C, 227-253

Abstract: This paper is a further investigation of the problem studied in Xue and Zhao (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.

Keywords: Normalized binary contact path process; Non-equilibrium fluctuations; Fourth moment; Generalized OU process (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spa.2021.02.004

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