报告题目：Non-intersecting Squared Bessel Process: Linear Spectral Statistics and Dynamical Entanglement Entropy  

报告人： 黄友益 中央密苏里大学   

报告时间： 2026年1月5日  10:00-11:00  

报告地点：五教 5206

摘要:

We study a dynamical extension of the Wishart–Laguerre ensemble arising from non-intersecting squared Bessel processes and compute the average entanglement entropy of the resulting dynamical entanglement model. Our approach is based on recurrence relations of spectral moments of the non-intersecting squared Bessel process. In particular, we work with spectral moments of real indices beyond the conventional integer setting, thereby enabling the computation of logarithmic observables in addition to polynomial ones. Along the way, we obtain new results for the underlying multiple orthogonal polynomials of modified Bessel weights, including structure and recurrence relations, as well as a Christoffel–Darboux formula for the correlation kernels.