4 papers
math.GR2025
Some results of cohomological properties of -group and non-inner automorphism with order on non-abelian finite -group
Wei Xu
Any non-abelian finite -group has a non-inner automorphism of order .
math.PR2025
Asymptotics for Exponential Functionals of Random Walks
Wei Xu
This paper provides a detailed description for the asymptotics of exponential functionals of random walks with light/heavy tails. We give the convergence rate based on the key obse…
math.PR2025
Mean-Field Limits for Nearly Unstable Hawkes Processes
Grégoire Szymanski, Wei Xu
In this paper, we establish general scaling limits for nearly unstable Hawkes processes in a mean-field regime by extending the method introduced by Jaisson and Rosenbaum. Under a…
math.PR2024
Scaling Limit Theorems for Multivariate Hawkes Processes and Stochastic Volterra Equations with Measure Kernel
Wei Xu
This paper is devoted to establishing the full scaling limit theorems for multivariate Hawkes processes. Under some mild conditions on the exciting kernels, we develop a new way to…