3 papers
math.PR2026
Optimal Sobolev Rate for Gaussian Density Approximation of Wiener Chaos Vectors
Huiping Chen, Yong Chen, Yong Liu
Let be a sequence of random vectors with identity covariance matrix whose components belong to the same fixed Wiener chaos, and assume that converges in law to a stan…
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,…