摘要：We consider a model of random melting skew Young diagram whose northwest and southeast corners melt independently at two rates $\gamma_1$ and $\gamma_2$ respectively. We find an exact formula for the joint distribution of the location of the last melting box and the melting time for an arbitrary initial skew Young diagram. This formula is suitable for asymptotic analysis for some special initial skew Young diagrams. As applications, we show how this result is related to the argmax of the sum of two independent Airy-type processes, such as two parabolic Airy2 processes, or a parabolic Airy2 process and an Airy1 process.

报告人简介：Dr. Zhipeng Liu is an associate professor at the University of Kansas. He got his bachelor's and master's degrees at Peking University and his Ph.D. at the University of Michigan. He was a Courant Instructor at the Courant Institute, NYU, before moving to the University of Kansas, where he was an assistant professor and then an associate professor. He mainly worked on random growth models and interacting particle systems, and the universal limiting behaviors behind these models. He has published papers in the Journal of the American Mathematical Society, Communications in Pure and Applied Mathematics, Annals of Probability, Probability Theory and Related Fields, Communications in Mathematical Physics, and other journals.