@article{Lin2022, 
author = {Yusen Lin},
title = {Periodic measures of reaction-diffusion lattice systems driven by superlinear noise},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {1},
pages = {35-51},
keywords = {superlinear noise, periodic measure, reaction-diffusion lattice system},
url = {https://www.sciopen.com/article/10.3934/era.2022002},
doi = {10.3934/era.2022002},
abstract = {The periodic measures are investigated for a class of reaction-diffusion lattice systems driven by superlinear noise defined on  Zk. The existence of periodic measures for the lattice systems is established in  l2 by Krylov-Bogolyubov's method. The idea of uniform estimates on the tails of solutions is employed to establish the tightness of a family of distribution laws of the solutions.}
}