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

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 Z(d), 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. of the process are sufficiently large. (C) 2021 Elsevier B.V. All rights reserved.