Jia-Ming Xu

Airy limit for the Jack process and topological expansion

For every $\beta>0$, we establish multi-time soft-edge moment convergence for the Jack--Plancherel process, a discrete $\beta$-analogue of Dyson Brownian motion. The limiting moments admit an absolutely convergent expansion in terms of nonnegative Brownian bridges decorated by pairs of equal and opposite jumps. At equa...