2 papers
math.PR2026
Mean-Field Stochastic PDEs: Well-posedness and Quantitative Dimension-Free Propagation of Chaos
Wei Hong, Wei Liu, Luhan Yang
This work investigates the mean-field stochastic PDEs involving a class of pseudo-monotone kernels. We first study the well-posedness -- in both the strong and weak sense -- within…
math.PR2024
Large Deviation Principle for Multi-Scale Fully Local Monotone Stochastic Dynamical Systems with Multiplicative Noise
Wei Hong, Wei Liu, Luhan Yang
This paper is devoted to proving the small noise asymptotic behaviour, particularly large deviation principle, for multi-scale stochastic dynamical systems with fully local monoton…