Fall 2026 · Current course
数学分析
每周一第 3–4 节，每周三第 1–2 节，二教 405。
Course materials →Analysis · Probability · Partial Differential Equations
Zhenfu Wang 王振富
Assistant Professor at the Beijing International Center for Mathematical Research, Peking University.
I am a tenure-track Assistant Professor at BICMR, Peking University.
Before joining Peking University, I was a Hans Rademacher Instructor of Mathematics at the University of Pennsylvania from July 2017 to June 2020. From September 2012 to May 2017, I completed my Ph.D. in Mathematics at the University of Maryland, College Park, under the supervision of Professor Pierre-Emmanuel Jabin.
Teaching at PKU
Courses and learning
Current course information and an archive of teaching materials from Peking University.
Teaching archive
Past courses
Course pages and materials from previous semesters.
View past teaching →Research
From particle systems to macroscopic equations
My research lies in analysis and partial differential equations, with an emphasis on mean field limit for large systems of interacting particles.
Mean-field limits
Quantitative convergence, propagation of chaos, and fluctuations for many-particle systems.
Kinetic equations
Analysis of kinetic equations, including Landau-type and Vlasov-type PDEs.
Sampling algorithms
Distribution-sampling methods inspired by the dynamics of interacting particle systems.
Motivated students seeking research problems are always welcome.
Arrange a meeting →Publications and preprints
Research output
Publication status and bibliographic information are current as of August 2026. Journal and arXiv links are both included when available.
-
A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions. Preprint, arXiv:2607.22470 (2026).
-
Purified Projection Method and Uhlmann Fidelity for Mixed Hartree Dynamics. Preprint, arXiv:2605.28685 (2026).
-
Quantum Relative Entropy and the Mean-Field Limit. Preprint, arXiv:2605.08652 (2026).
-
On the Kinetic Equation Arising from the Large-Scale Limit of the Cucker–Smale Model. Preprint, arXiv:2602.14685 (2026).
-
Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy. Preprint, arXiv:2602.01641 (2026).
-
Quantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole Space. Peking Mathematical Journal, 1–31 (2026).
-
Quantitative Propagation of Chaos for 2D Viscous Vortex Model with General Circulations on the Whole Space. Nonlinearity 39(1):015009 (2026).
-
Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules. Journal des Mathématiques Pures et Appliquées 206:103838 (2026).
-
Kac's Program for the Landau Equation. Archive for Rational Mechanics and Analysis 250:72 (2026).
-
On the Mean-Field Limit of Vlasov–Poisson–Fokker–Planck Equations. Journal of Mathematical Physics 67(6):061503 (2026).
-
Transport Based Particle Methods for the Fokker–Planck–Landau Equation. Communications in Mathematical Sciences 23(7):1763–1788 (2025).
-
Mean-Field Limit of Non-Exchangeable Interacting Diffusions with Singular Kernels. SIAM Journal on Mathematical Analysis 58(3):2375–2418 (2026).
-
Propagation of Chaos for 2D Log Gas on the Whole Space. Preprint, arXiv:2411.14777 (2024).
-
Uniform-in-Time Propagation of Chaos for Second Order Interacting Particle Systems. Preprint, arXiv:2409.02435 (2024).
-
Analysis and Computation for Interacting Particle Systems. China Basic Science, Issue 4, 59–64 (2023).
-
Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels. Archive for Rational Mechanics and Analysis 247(5):101 (2023).
-
Mean Field Limit and Quantitative Estimates with Singular Attractive Kernels. Duke Mathematical Journal 172(13):2591–2641 (2023).
-
Entropy-Dissipation Informed Neural Network for McKean–Vlasov Type PDEs. Advances in Neural Information Processing Systems 36 (2023).
-
Self-Consistency of the Fokker–Planck Equation. In Proceedings of the 35th Conference on Learning Theory, PMLR 178:817–841 (2022).
-
Sinkhorn Natural Gradient for Generative Models. Advances in Neural Information Processing Systems 33 (2020).
-
Sinkhorn Barycenter via Functional Gradient Descent. Advances in Neural Information Processing Systems 33 (2020).
-
Modulated Free Energy and Mean Field Limit. Séminaire Laurent Schwartz – EDP et Applications (2019–2020), Talk no. 2, 22 pp.
-
Uniqueness of Bounded Solutions for the Homogeneous Relativistic Landau Equation with Coulomb Interactions. Quarterly of Applied Mathematics 78(1):107–145 (2020).
-
On Mean-Field Limits and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak–Keller–Segel Model. Comptes Rendus Mathématique 357(9):708–720 (2019).
-
Quantitative Estimates of Propagation of Chaos for Stochastic Systems with W−1,∞ Kernels. Inventiones Mathematicae 214(1):523–591 (2018).
Presented by Professor Laure Saint-Raymond in the Bourbaki Seminar.
-
Mean Field Limit for Stochastic Particle Systems. In Active Particles, Volume 1: Theory, Models, Applications, pp. 379–402. Birkhäuser/Springer, Boston (2017).
-
Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces. Journal of Functional Analysis 271(12):3588–3627 (2016).
Ph.D. Dissertation
Mean Field Limit for Stochastic Particle Systems with Singular Forces
University of Maryland, 2017.
Read the dissertation →Community
Research events and seminars
Seminars, working groups, and research activities in PDEs, probability, and applied mathematics.
- Seminars and colloquia at BICMR and the School of Mathematical Sciences, Peking University.
- I organize the informal working seminar Analysis Research Interaction Team (ARIT@BICMR).
- Analysis and PDEs Seminar (APDE@BICMR), organized by the analysis group at BICMR.
- Reading Seminar on Stochastic Many-Body Systems, organized with Lei Li (SJTU) and Shuyang Ling (NYU Shanghai).
Planning a visit to BICMR? Please feel free to contact me by email.
“We have not succeeded in answering all our problems. The answers we have found only serve to raise a whole set of new questions. In some ways we feel we are as confused as ever, but we believe we are confused on a higher level and about more important things.”