Rough Path
Delay rough evolution equations. Shiduo Qu, Hongjun Gao. Potential Analysis, 64(1):10, 2026.
Amplitude Equations
The high-order approximation of SPDEs with multiplicative noise via amplitude equations. Shiduo Qu, Hongjun Gao. Communications in Nonlinear Science and Numerical Simulation, 132:107937, 2024.
Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise. Shiduo Qu, Wenlei Li, Shaoyun Shi. Journal of
Evolution Equations, 22(4):8, 2022.
Mixed noise
Large deviation principle for stochastic slow-fast system with nonlinear multiplicative fractional Brownian motion. Haoyuan Li, Hongjun Gao, Shiduo Qu. Stochastics and Dynamics, 2540009, 2025.
Existence and uniqueness of SPDEs driven by nonlinear multiplicative mixed noise. Shiduo Qu, Hongjun Gao. Stochastic Processes and their Applications, 184:104612, 2025.
Averaging principle for slow-fast SPDEs driven by mixed noises. Haoyuan Li, Hongjun Gao, Shiduo Qu. Journal of Differential Equations, 430:113209, 2025.
Random Dynamical Systems
Effevtive filtering for slow-fast systems via Wong-Zakai approximation. Haoyuan Li, Wenlei Li, Shiduo Qu, Shaoyun Shi. Evolution Equations and Control Theory, 12(5):1378-1409, 2023.
Random invariant manifolds and foliations for slow-fast PDEs with strong multiplicative noise. Wenlei Li, Shiduo Qu, Shaoyun Shi. Electronic Journal of
Qualitative Theory of Differential Equations, 70, 2022.
Renormalization Group Method
Renormalization group method for singular perturbation system with additive fractional Gaussian noise. Lihong Guo, Shiduo Qu, Shaoyun Shi. Stochastic Analysis and Applications, 43(1):48-76, 2025.
Renormalization Group Approach to SDEs with Nonlinear Diffusion Terms. Shiduo Qu, Wenlei Li, Shaoyun Shi. Mediterranean Journal of Mathematics, 18(5):183, 2021.
Address: University of Mannheim, Institute of Mathematics, B6 26 68159 Mannheim, Germany
Emails: qushiduo@seu.edu.cn, shiduo.qu.gast@uni-mannheim.de