5 papers
Pathwise uniqueness for degenerate stochastic differential equations with Hölder continuous coefficients
Jie Xiong, Wen Xu
In this paper, we study the pathwise uniqueness problem for a class of degenerate stochastic differential equations with Hölder continuous diffusion coefficients arising from a cy…
Strong uniqueness and large deviation principle for mutually catalytic super Markov chains
Jie Xiong, Wen Xu
In this paper, we study the strong uniqueness problem for the mutually catalytic super-Markov chain, which is a two-dimensional degenerate stochastic differential equation with Hö…
Near optimal controls for partially observed stochastic linear quadratic problems
Jingrui Sun, Jiaqiang Wen, Jie Xiong +1
In this article, we consider a stochastic linear quadratic control problem with partial observation. A near optimal control in the weak formulation is characterized. The main featu…
Mean-field stochastic linear quadratic control problem with random coefficients
Jie Xiong, Wen Xu
In this paper, we first prove that the mean-field stochastic linear quadratic (MFSLQ for short) control problem with random coefficients has a unique optimal control and derive a p…
Linear-quadratic control for mean-field backward stochastic differential equations with random coefficients
Jie Xiong, Wen Xu, Ying Yang
In this paper, we study the linear-quadratic control problem for mean-field backward stochastic differential equations (MF-BSDE) with random coefficients. We first derive a prelimi…