Summary of the 2025 Tianyuan Workshop on Fractional Brownian Motion and Rough Dynamical Systems
The “2025 Tianyuan Workshop on Fractional Brownian Motion and Rough Dynamical Systems” convened by Professors Hongjun Gao and Jianhua Huang, was successfully held on August 4, 2025, in Room R120 of the Tianyuan International Exchange Center. The 27 participants came from 21 universities and research institutes, including the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, The Hong Kong Polytechnic University, Huazhong University of Science and Technology, Shandong University, Nanjing University, Sichuan University, University of Electronic Science and Technology of China, Southeast University, Northwestern Polytechnical University, Lanzhou University, South China University of Technology, National University of Defense Technology, Southwest Jiaotong University, Tianjin Polytechnic University, Zhejiang Sci-Tech University, Anhui Normal University, Northwest Normal University, Jiangxi Normal University, Henan Normal University, Guangxi Normal University, and Wenzhou University. Discussions and lively exchanges revolved around topics such as numerical methods for stochastic differential equations, large deviation principles for multiscale systems driven by fractional Brownian motion, regular terms and invariant manifolds in fractional Brownian motion and rough dynamical systems, well-posedness and attractors of stochastic BBM and KdV equations, statistical solutions of stochastic partial differential equations, and invariant foliations of stochastic dynamical systems.
The workshop featured 25 academic talks, each consisting of a 40-minute presentation followed by a 10-minute discussion. The discussion sessions were particularly active, covering theoretical studies of fractional Brownian motion and rough dynamical systems, numerical computation, and applications to modeling critical problems in the aerospace industry. In the free discussion periods, some speakers held in-depth conversations with attending experts on related issues and reached agreements on collaborative research.
As announced by the conveners in the opening and closing sessions, at the 8th International Conference on Random Dynamical Systems held in Konstanz, Germany in 2025, seven plenary talks focused on fractional Brownian motion and rough dynamical systems. This illustrates that research on these topics represents a frontier and hotspot in current dynamical systems studies. The successful organization of this Tianyuan Workshop has provided a platform for in-depth exchange among domestic scholars in this field. Through mutual communication and discussion, the event has promoted the further development of theoretical research on non-Markovian random dynamical systems, and it is expected to serve as a springboard for in-depth collaborative research, including exploration of applications such as modeling and fault diagnosis in the aerospace industry.