3 papers
math.OC2025
Global Convergence of Successive Approximations for Non-convex Stochastic Optimal Control Problems
Shaolin Ji, Rundong Xu
This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject…
math.OC2025
A BSDE approach to the asymmetric risk-sensitive optimization and its applications
Mingshang Hu, Shaolin Ji, Rundong Xu +1
This paper is devoted to proposing a new asymmetric risk-sensitive criterion involving different risk attitudes toward varying risk sources. The criterion can only be defined throu…
math.PR2025
A quadratic BSDE approach to normalization for the finite volume 2D sine-Gordon model in the finite ultraviolet regime
Shanjian Tang, Rundong Xu
This paper is devoted to a new construction of the two-dimensional sine-Gordon model on bounded domains by a novel normalization technique in the finite ultraviolet regime. Our met…