3 papers
math.AG2025
Strong approximation for the intersection of two quadrics
Dasheng Wei, Jie Xu, Yi Zhu
We study strong approximation for the intersection of two affine quadrics. As its application, we prove the fibration method for weak approximation over number fields of rank four…
math.DS2025
Stochastic Periodic Solutions for Newtonian Systems via Lyapunov Function
Junxia Duan, Jifa Jiang, Jie Xu
This paper establishes an existence theory for distributed periodic solutions to Newton's equation with stochastic time-periodic forcing, where the friction matrix is the Hessian o…
stat.AP2024
Experimental Designs for Optimizing Last-Mile Delivery
Nicholas Rios, Jie Xu
Companies like Amazon and UPS are heavily invested in last-mile delivery problems. Optimizing last-delivery operations not only creates tremendous cost savings for these companies…