May 31
2023
Time： 2023-05-31 ~ 2023-07-09 Mon,Wed 13:30 - 15:30
Venue：Venue A3-3-301 Online ZOOM: 559 700 6085 PW: BIMSA
Teacher：Dong Quan Ngoc Nguyen
May 17
2023
Time：2023-05-17 ~ 2023-08-30 Wed,Fri 10:40 - 12:15
Venue：ZOOM: 293 812 9202 PW: BIMSA
Teacher：Anton Nazarov
Apr 03
2023
Time：2023-04-03 ~ 2023-07-17 Mon 09:00 - 11:25
Venue：ZOOM: 293 812 9202 PW: BIMSA
Teacher：Zaijiu Shang
Apr 01
2023
Time：2023-04-01 ~ 2023-06-30 Tue, Fri 17:05 - 18:40
Venue：Room 1137 ZOOM: 537 192 5549 PW: BIMSA
Teacher：Haihua Xie
Mar 28
2023
Time：2023-03-28 ~ 2023-06-24 Tue, Thu 10:40 - 12:15
Venue：Room TSIMF ZOOM: 787 662 9899 PW: BIMSA
Teacher：Meng Cao
Mar 27
2023
Time：2023-03-27 ~ 2023-06-27 Mon, Tue 14:20 - 16:05
Venue：ZOOM: 787 662 9899 PW: BIMSA
Teacher：Guillaume Tahar
Mar 22
2023
Time：2023-03-22 ~ 2023-06-12 Mon, Wed 10:40 - 12:15
Venue：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.
Teacher：Tadahisa Funaki
Mar 21
2023
Time：2023-03-21 ~ 2023-06-16 Tue, Fri 15:20 - 16:55
Venue：ZOOM: 864 6783 3830 PW: BIMSA
Teacher：Andrii Liashyk
Mar 21
2023
Time：2023-03-21 ~ 2023-06-15 Tue, Thu 09:50 - 11:25
Venue：Room 1118 ZOOM: 242 742 6089 PW: BIMSA
Teacher：Zheyan Wan
Mar 17
2023
Time：2023-03-17 ~ 2023-06-09 Fri 15:20 - 18:40
Venue：Room 清华宁斋S11 ZOOM: 559 700 6085 PW: BIMSA
Teacher：Kotaro Kawai
E-mail：qzsy@tsinghua.edu.cn
Address：Qiuzhen College, Tsinghua University, Haidian District, Beijing
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