06-02
2023
时间：2023-06-02 ~ 2023-07-14 Wed 13:30 - 15:05 Fri 13:30 - 16:05
地点：A3-1-101 Online ZOOM: 230 432 7880 PW: BIMSA
主讲人：Paul Mozolyako
06-02
2023
时间：2023-06-02 ~ 2023-07-14 Wed 15:20 - 17:50 Fri 16:10 - 17:50
地点：A3-1-101 Online ZOOM: 230 432 7880 PW: BIMSA
主讲人：Yurii Belov
05-31
2023
时间： 2023-05-31 ~ 2023-07-09 Mon,Wed 13:30 - 15:30
地点：Venue A3-3-301 Online ZOOM: 559 700 6085 PW: BIMSA
主讲人：Dong Quan Ngoc Nguyen
05-17
2023
时间：2023-05-17 ~ 2023-08-30 Wed,Fri 10:40 - 12:15
地点：ZOOM: 293 812 9202 PW: BIMSA
主讲人：Anton Nazarov
04-14
2023
时间：2023-04-14 ~ 2023-07-10 每周一、周五 13:30 - 15:05
地点：BIMSA 1137 ZOOM: 537 192 5549 PW: BIMSA
主讲人：韩立岩
04-03
2023
时间：2023-04-03 ~ 2023-07-17 Mon 09:00 - 11:25
地点：ZOOM: 293 812 9202 PW: BIMSA
主讲人：Zaijiu Shang
04-01
2023
时间：2023-04-01 ~ 2023-06-30 Tue, Fri 17:05 - 18:40
地点：Room 1137 ZOOM: 537 192 5549 PW: BIMSA
主讲人：Haihua Xie
03-28
2023
时间：2023-03-28 ~ 2023-06-24 Tue, Thu 10:40 - 12:15
地点：Room TSIMF ZOOM: 787 662 9899 PW: BIMSA
主讲人：Meng Cao
03-27
2023
时间：2023-03-27 ~ 2023-06-27 Mon, Tue 14:20 - 16:05
地点：ZOOM: 787 662 9899 PW: BIMSA
主讲人：Guillaume Tahar
03-22
2023
时间：2023-03-22 ~ 2023-06-12 Mon, Wed 10:40 - 12:15
地点：Room 1110 ZOOM: 928 682 9093 PW: BIMSAPrerequisite It is desirable that the audience had attended my course in the last semester. But, at the beginning of the course, I will try to summarize the methods and results which I explained in the last semester. Abstract This is a continuation of my course given in the last semester (Oct 2022-Jan 2023). In the last semester, we started with a quick introduction to modern probability theory and stochastic analysis including strong law of large numbers, central limit theorem, continuous time martingales, Brownian motion, Poisson point processes. Then, we briefly discussed the construction and equilibrium states of interacting particle systems such as exclusion process (Kawasaki dynamics), zero-range process, Glauber dynamics. The core of the course was the study of hydrodynamic large space-time scaling limits of interacting particle systems. We explained two methods: the entropy method (GPV method) and the relative entropy method (due to H.T. Yau). Important notions and tools are local ergodicity, one block estimate, two blocks estimate, local equilibrium states, entropy inequality, large deviation principle. We also discussed linear and nonlinear (KPZ) fluctuations via Boltzmann-Gibbs principle. We touched non-gradient models. Finally, we briefly gave some ideas to derive an interface motion from interacting particle systems. The course in this semester gives some applications and extensions of the methods explained in the last semester. More details are found in the syllabus. Lecturer Intro. Funaki Tadahisa was a professor at University of Tokyo and then at Waseda University in Japan. His research subject is probability theory mostly related to statistical physics, specifically interacting systems and stochastic PDEs, whose importance increases as several Fields medals are given to this area.
主讲人：Tadahisa Funaki
地址：北京市海淀区清华大学求真书院
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