activity
20152026
most citedConstrained stochastic LQ control on infinite time horizon with regime switching

5 citations · 12 across the 19 of their papers we have counts for

collaborators

21 papers

q-fin.MF2026

Multi-Asset Liquidation in Dark Pools with Adverse Selection

Guanxing Fu, Johannes Ruf, Xiaomin Shi +1

We study the optimal liquidation of a multi-asset portfolio using both a traditional exchange and dark pools in the presence of quadratic adverse-selection costs. The problem leads…

math.OC2025

Optimal control of stochastic homogenous systems

Ying Hu, Xiaomin Shi, Zuo Quan Xu

This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) f…

q-fin.PM2025

Optimal mean-variance portfolio selection under regime-switching-induced stock price shocks

Xiaomin Shi, Zuo Quan Xu

In this paper, we investigate mean-variance (MV) portfolio selection problems with jumps in a regime-switching financial model. The novelty of our approach lies in allowing not onl…

q-fin.MF2025

A System of BSDEs with Singular Terminal Values Arising in Optimal Liquidation with Regime Switching

Guanxing Fu, Xiaomin Shi, Zuo Quan Xu

We study a stochastic control problem with regime switching arising in an optimal liquidation problem with dark pools and multiple regimes. The new feature of this model is that it…

math.OC2024

Constrained stochastic linear quadratic control under regime switching with controlled jump size

Xiaomin Shi, Zuo Quan Xu

In this paper, we examine a stochastic linear-quadratic control problem characterized by regime switching and Poisson jumps. All the coefficients in the problem are random processe…

q-fin.PM2024★ 1 cited

Constrained mean-variance investment-reinsurance under the Cramér-Lundberg model with random coefficients

Xiaomin Shi, Zuo Quan Xu

In this paper, we study an optimal mean-variance investment-reinsurance problem for an insurer (she) under a Cramér-Lundberg model with random coefficients. At any time, the insure…

math.OC2024★ 1 cited

Mean-variance portfolio selection in jump-diffusion model under no-shorting constraint: A viscosity solution approach

Xiaomin Shi, Zuo Quan Xu

This paper concerns a continuous time mean-variance (MV) portfolio selection problem in a jump-diffusion financial model with no-shorting trading constraint. The problem is reduced…

q-fin.PM2024

Constrained monotone mean--variance investment-reinsurance under the Cramér--Lundberg model with random coefficients

Xiaomin Shi, Zuo Quan Xu

This paper studies an optimal investment-reinsurance problem for an insurer (she) under the Cramér--Lundberg model with monotone mean--variance (MMV) criterion. At any time, the in…

math.PR2023

Comparison theorems for multi-dimensional BSDEs with jumps and applications to constrained stochastic linear-quadratic control

Ying Hu, Xiaomin Shi, Zuo Quan Xu

In this paper, we, for the first time, establish two comparison theorems for multi-dimensional backward stochastic differential equations with jumps. Our approach is novel and comp…

q-fin.MF2022★ 2 cited

Constrained monotone mean-variance problem with random coefficients

Ying Hu, Xiaomin Shi, Zuo Quan Xu

This paper studies the monotone mean-variance (MMV) problem and the classical mean-variance (MV) problem with convex cone trading constraints in a market with random coefficients.…

math.PR2022★ 1 cited

Optimal consumption-investment with coupled constraints on consumption and investment strategies in a regime switching market with random coefficients

Ying Hu, Xiaomin Shi, Zuo Quan Xu

This paper studies finite-time optimal consumption-investment problems with power, logarithmic and exponential utilities, in a regime switching market with random coefficients, sub…

math.OC2022

Stochastic linear-quadratic control with a jump and regime switching on a random horizon

Ying Hu, Xiaomin Shi, Zuo Quan Xu

In this paper, we study a stochastic linear-quadratic control problem with random coefficients and regime switching on a horizon , where is a given random jump ti…

math.OC2022★ 1 cited

Non-homogeneous stochastic LQ control with regime switching and random coefficients

Ying Hu, Xiaomin Shi, Zuo Quan Xu

This paper is concerned with a general non-homogeneous stochastic linear quadratic (LQ) control problem with regime switching and random coefficients. We obtain the explicit optima…

q-fin.MF2022

Continuous-time Markowitz's mean-variance model under different borrowing and saving rates

Chonghu Guan, Xiaomin Shi, Zuo Quan Xu

We study Markowitz's mean-variance portfolio selection problem in a continuous-time Black-Scholes market with different borrowing and saving rates. The associated Hamilton-Jacobi-B…

math.OC2021★ 5 cited

Constrained stochastic LQ control on infinite time horizon with regime switching

Ying Hu, Xiaomin Shi, Zuo Quan Xu

This paper is concerned with a stochastic linear-quadratic (LQ) optimal control problem on infinite time horizon, with regime switching, random coefficients, and cone control const…

math.OC2020

Constrained stochastic LQ control with regime switching and application to portfolio selection

Ying Hu, Xiaomin Shi, Zuo Quan Xu

This paper is concerned with a stochastic linear-quadratic optimal control problem with regime switching, random coefficients, and cone control constraint. The randomness of the co…

q-fin.MF2017

Mean-variance portfolio selection with nonlinear wealth dynamics and random coefficients

Shaolin Ji, Hanqing Jin, Xiaomin Shi

This paper studies the continuous time mean-variance portfolio selection problem with one kind of non-linear wealth dynamics. To deal the expectation constraint, an auxiliary stoch…

q-fin.MF2016★ 1 cited

Recursive utility optimization with concave coefficients

Shaolin Ji, Xiaomin Shi

This paper concerns the recursive utility maximization problem. We assume that the coefficients of the wealth equation and the recursive utility are concave. Then some interesting…

q-fin.MF2016

Explicit solutions for continuous time mean-variance portfolio selection with nonlinear wealth equations

Shaolin Ji, Xiaomin Shi

This paper concerns the continuous time mean-variance portfolio selection problem with a special nonlinear wealth equation. This nonlinear wealth equation has a nonsmooth coefficie…

q-fin.MF2016

Recursive utility maximization under partial information

Shaolin Ji, Xiaomin Shi

This paper concerns the recursive utility maximization problem under partial information. We first transform our problem under partial information into the one under full informati…

math.PR2015

Central limit theorems for bounded random variables under belief

Xiaomin Shi

Recently a new type of central limit theorem for belief functions was given in Epstein et al. [9]. In this paper, we generalize the central limit theorem in Epstein et al. [9] to a…