Summary of the 2025
“International Conference on Stochastic Analysis and Its Applications”
at Tianyuan Mathematics Research Center
The 2025 International Conference on Stochastic Analysis and Its Applications, organized by Professor Tusheng Zhang (University of Science and Technology of China), Professor Xicheng Zhang (Beijing Institute of Technology), and Professor Jian Wang (Fujian Normal University), was successfully held at the Tianyuan Mathematics Research Center from November 2 to 8, 2025.
This conference aimed to bring together leading international experts in stochastic analysis to discuss recent advances in theory, methodology, and applications. Key topics included:
Stochastic Differential Equations: Heat kernel estimates and Schauder estimates for jump processes, McKean–Vlasov type stochastic differential equations, mean-field limits, Smoluchowski–Kramers approximation, multi-scale stochastic systems, reflected SDEs, Euler-type schemes for non-dissipative SDEs, etc.
Stochastic Partial Differential Equations: Stochastic analysis on Wasserstein space, stochastic transport equations with Lévy noise, $\Phi^4_3$ theory, ergodicity of the stochastic Burgers equation, long-time behavior of the parabolic Anderson model, stochastic reaction-diffusion equations with super-linear drift, etc.
Related Topics: Stochastic control and backward equations, directed polymers and pinning models in random environments, Langevin dynamics for the spin $O(N)$ model, critical long-range percolation, exclusion processes, fluctuations and deviations for particle systems, mechanisms and extremal behaviors of stationary infinitely divisible sequences, nonlocal approximation of unimodular random networks, supercritical branching Lévy processes, time-fractional super-Brownian motion, etc.
The conference gathered 32 participants from 20 universities and research institutes worldwide. It featured 27 academic talks, each comprising a 40-minute presentation, followed by vibrant and engaging discussion sessions. During the free discussion periods, speakers and attendees held in-depth conversations on a wide range of related topics, fostering a dynamic exchange of ideas.
Through these focused and productive exchanges, the conference effectively facilitated high-quality academic collaboration and provided significant impetus for the further development of stochastic analysis.