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

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  • Xue, Xiaofeng
  • Zhao, Linjie

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.

Suggested Citation

  • Xue, Xiaofeng & Zhao, Linjie, 2021. "Non-equilibrium fluctuations of the weakly asymmetric normalized binary contact path process," Stochastic Processes and their Applications, Elsevier, vol. 135(C), pages 227-253.
    • Handle: RePEc:eee:spapps:v:135:y:2021:i:c:p:227-253
    DOI: 10.1016/j.spa.2021.02.004
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    References listed on IDEAS

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    1. Ravishankar, K., 1992. "Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in d," Stochastic Processes and their Applications, Elsevier, vol. 42(1), pages 31-37, August.
    2. Xue, Xiaofeng & Zhao, Linjie, 2020. "Hydrodynamics of the weakly asymmetric normalized binary contact path process," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6757-6782.
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    Cited by:

    1. Xue, Xiaofeng, 2023. "Hydrodynamics of a class of N-urn linear systems," Stochastic Processes and their Applications, Elsevier, vol. 156(C), pages 69-100.

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