Zhenfu Wang (王振富)

Curriculum Vitae

I am now a Tenure Track Assistant Professor at Beijing International Center for Mathematical Research (BICMR) , Peking University.

I was a Hans Rademacher Instructor of Mathematics at Department of Mathematics , University of Pennsylvania from July 2017 to June 2020.

From Sep. 2012 - May 2017, I completed a PhD in Mathematics at Department of Mathematics , University of Maryland, College Park, under the supervision of Prof. Pierre-Emmanuel Jabin.

Email: zwang@bicmr.pku.edu.cn

Mail: Beijing Internatinoal Center for Mathematical Research, Peking University, 5 Yiheyuan Road, Beijing 100871.

地址：100871北京市海淀区颐和园路5号北京大学北京国际数学中心

Office: 镜春园78号院77102 Office Phone Number: (010)-62744092.

Teaching at PKU

Fall 2024 实变函数每周周三7-8节，双周周五3-4节，理教211.

Spring 2024 偏微分方程选讲每周周五3-4节，单周周三7-8节，三教408.

Fall 2023 实变函数每周周三7-8节，双周周五3-4节，理教403.

Spring 2023 实分析每周周二3-4节，单周周四7-8节，一教308.

Fall 2022 实变函数每周周三7-8节，双周周五3-4节，理教406.

Spring 2022 偏微分方程选讲（Optimal Transport） Lecture Notes .

Fall 2021 高等数学B （上）（Advanced Mathematics B (1)）每周周一周三10-11节，理教306.

Spring 2021 分析与方程专题每周周一1-2节，双周周三7-8节，三教306.

Research Interests

Analysis and Partial Differential Equations, especially Mean Field limit for Many Particles Systems and the analysis of Kinetic equations. Distribution Sampling Algorithms based on Many Particle Systems.

My Google Scholar .

My Research Bilibili Channel . Summer Course on Mean Field Limit .

Publications and Preprints

With P.E. Jabin, Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces. J. Funct. Anal. 271 (2016) 3588-3627. [Journal] or [arXiv]
With P.E. Jabin, Mean Field Limit for Stochastic Particle Systems. In Active Particles, Volume 1: Theory, Models, Applications, Birkhauser-Springer (Boston), series Modelling and Simulation in Science Engineering and Technology. (2017) [Link] or [PDF]
With P.E. Jabin, Quantitative estimates of propagation of chaos for stochastic systems with $W^{-1,\infty}$ kernel. Invent. Math. (2018). [Journal] or [arXiv]

Prof. Laure Saint-Raymond

[Article]

[YouTube]

With R. M. Strain, Uniqueness of Bounded Solutions for the Homogeneous Relativistic Landau Equation with Coulomb Interactions. Quart. Appl. Math. (2019). [Journal] or [arXiv]
With D. Bresch and P.E. Jabin, On Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak-Keller-Segel Model. C.R. Acd. Sci. (2019). [Journal] or [arXiv]
With D. Bresch and P.E. Jabin, Modulated Free Energy and Mean Field Limit. In Séminaire Laurent Schwartz — EDP et applications. (2019-2020), Talk no.2, 22 p. [arXiv]
With D. Bresch and P.E. Jabin, Mean-Field Limit and Quantitative Estimates with Singular Attractive Kernels. Duke Mathematical Journal 172, no. 13 (2023): 2591-2641. [arXiv]
With Z. Shen, A. Ribeiro and H. Hassani, Sinkhorn Barycenter via Functional Gradient Descent. NeurIPS 2020. [arXiv]
With Z. Shen, A. Ribeiro and H. Hassani, Sinkhorn Natural Gradient for Generative Models. NeurIPS 2020. [arXiv]
With X. Zhao and R. Zhu, Gaussian fluctuations for interacting particle systems with singular kernels. Archive for Rational Mechanics and Analysis 247, no. 5 (2023): 101. [arXiv]
With Z. Shen, S. Kale, A. Ribeiro, A. Karbasi and H. Hassani, Self-Consistency of the Fokker-Planck Equation. COLT 2022. [arXiv] [Repo]
With X. Zhao and R. Zhu, Mean-field limit of Non-exchangeable interacting diffusions with singular kernels. Preprint. [arXiv]
With Z. Shen, Entropy-Dissipation Informed Neural Network for McKean-Vlasov type PDEs. NeurIPS 2023. [PDF]
With L. Lei and S. Ling, Analysis and Computation for Interacting Particle Systems. China Basic Science, Issue 4, pages 59-64, 2023.
With X. Feng, Quantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole Space. Submitted. [arXiv]
With V. Ilin and J. Hu, Transport based particle methods for the Fokker-Planck-Landau equation. Submitted. [arXiv]
With J. Carrillo, X. Feng, S. Guo and P.-E. Jabin, Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules. Submitted. [arXiv]
With Y. Gong and P. Xie, Uniform-in-time propagation of chaos for second order interacting particle systems. Preprint.
With L. Chen, J. Jung and P. Pickl, On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations. Preprint.

My Dissertation [PDF]

Research Events in PDEs, Probability and Applied Math

Seminars and Colloqium at BICMR and School of Mathematical Science , Peking University.

I organize an informal (working style) seminar: Analysis Research Interaction Team ARIT@BiCMR .

Analysis and PDEs seminar at BiCMR APDE@BiCMR organized by the analysis group at BiCMR.

Reading Seminar on Stochastic Many-body Systems PKU-SJTU-NYU organized by Lei Li (SJTU), Shuyang Ling(NYU-SH) and myself.

Quote

   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.

Last Updated at Feb., 2024.