威尼斯人

摘要：

        Probability and statistics span a spectrum from highly theoretical to deeply applied. In this talk, I will present two distinct research projects from my group. First, we establish a rigorous proof of the sample-path large deviation principle for 2D stochastic vortex dynamics, providing the mathematical foundation for the microcanonical variational principle proposed by Lars Onsager. Second, we introduce a novel statistical inference method for noninvasive preimplantation genetic testing of monogenic diseases, significantly improving accuracy to meet clinical application requirements.