2 papers
math.OC2025
EV Charging in Smart Grids: Mean Field Equilibrium and Approximate Non-Cooperative and Cooperative Strategies
Lijun Bo, Fengcheng Liu, Shihua Wang
We study the optimal charging strategies for large-scale electric vehicles in smart grids within a finite-horizon mean field game framework. We first establish the existence and un…
math.ST2025
On the Square Root of Wishart Matrices: Exact Distributions and Asymptotic Gaussian Behavior
Fengcheng Liu
Random matrix theory has become a cornerstone in modern statistics and data science, providing fundamental tools for understanding high-dimensional covariance structures. Within th…