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math.PR2024
Ergodicity for Ginzburg-Landau equation with complex-valued space-time white noise on two-dimensional torus
Huiping Chen, Yong Chen, Yong Liu
We investigate the global well-posedness and ergodicity of the complex Ginzburg-Landau equation with a general nonlinear term on the two-dimensional torus, driven by complex-valued…
math.PR2024
Berry-Esséen bound for complex Wiener-Itô integral
Huiping Chen, Yong Chen, Yong Liu
For complex multiple Wiener-Itô integral, we present Berry-Esséen upper and lower bounds in terms of moments and kernel contractions under the Wasserstein distance. As a corollary,…