Wasserstein convergence rate of invariant measures for stochastic Schrodinger delay lattice systems

This paper is concerned with the convergence of invariant measures in the Wasserstein sense for the stochastic Schr & ouml;dinger delay lattice systems as delay parameter rho or parameter 9 approaches zero. Through pth-order moment estimates of solutions to systems, as well as the Holder continuity estimates of solutions with respect to time, we obtain the convergence of solutions about initial data and the above parameters. Then together with high-order moment estimates of invariant measures, we prove that the unique invariant measure of such delay lattice system converges to the invariant measure of limiting system in the Wasserstein sense as delay parameter rho or parameter 9 approaches zero, and the corresponding convergence rate is also obtained. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.