2025 Spring
Location: Room C548, Shuangqing Complex Building (Block A)
Time: Every Thursday 4:00-5:00pm
Organizers: Chenlin Gu, Jianping Jiang, Hao Wu, Fan Yang
See the YMSC Webpage.
Mar 20 (4-5pm) & Mar 21 (3:30-5pm): Yanqi Qiu (Hangzhou IAS, UCAS)
Title: Harmonic Analysis of Multiplicative Chaos
Abstract: I will introduce a vector-valued martingale method in the studies of polynomial Fourier decay of various random measures arising from Kahane's T-martingale theory, including Mandelbrot Cascades (canonical or microcanonical), Gaussian Multiplicative Chaos, Random Coverings and more abstract ones. Therefore, we are able to solve the Mandelbrot-Kahane problem on cascades and the Garban-Vargas conjecture on GMC, both about the precise Fourier dimensions. We will also discuss several natural open problems arising from our works. These lectures are based on joint works with Xinxin Chen, Yong Han, Zipeng Wang, and with Zhaofeng Lin, Mingjie Tan.
Apr 3: TBA
Apr 10: TBA
Apr 17: Zhiqi Zhao (Beijing Normal University)
Apr 24: TBA
May 8: TBA
May 15: TBA
May 22: TBA
May 29: TBA
Jun 5: TBA
Jun 12: Jean-Christophe Mourrat (ENS Lyon & CNRS)
Past events:
Mar 6: Shuo Qin (BIMSA)
Title: Step-reinforced random walks and one half
Mar 13: Ryokichi Tanaka (Kyoto University)
Title: Noise sensitivity and stability problem on groups
2024 Fall
Sep 26: Yushu Zheng (Academy of Mathematics and Systems Science of CAS)
Title: Favorite sites for simple random walk in two and more dimensions
Oct 10: Tianyi Bai (Academy of Mathematics and Systems Science of CAS)
Title: Intersection equivalence for sum of fractal percolations
Oct 15 (1:50-3:30pm, at BIMSA A3-3-301): Guillaume Baverez (Humboldt-Universität zu Berlin)
Title: Uniqueness of Malliavin-Kontsevich-Suhov measures
Oct 17: Yijun Wan (Dauphine University)
Title: A Uniform Approach to Zero-Sum Stochastic Games using Blackwell’s Approachability
Oct 18 (Colloquium, 4-5pm): Zhenqing Chen (University of Washington)
Title: Boundary trace of reflected diffusions on uniform domains
Nov 14: Benjamin Weiss (Einstein Institute of Mathematics)
Title: Poisson generic points - a variant of normality
Nov 21: Wen-Bo Li (Peking University)
Title: The Conformal Dimension and Minimality of Stochastic Objects
Nov 27: Wei Wu (NYU Shanghai)
Title: Maximum of the Ginsburg-Landau field
Nov 28: Elena Kosygina (NYU Shanghai and CUNY)
Title: Generalized Ray-Knight theorems: their applications and limitations
Dec 5: Jinjiong Yu (East China Normal University)
Title: The critical disordered pinning measure
Dec 19: Xi Geng (University of Melbourne)
Title: Long time behaviour of the parabolic Anderson Model in the hyperbolic space
2024 Spring
Mar 7: Dominik Schmid (University of Bonn)
Title: Biased random walk on dynamical percolation
Apr 11: Xingjian Hu (Fudan University)
Title: The scaling limit of the volume of loop O(n) quadrangulations
Apr 18: Yang Xiao & Dongjian Qian (Fudan University)
Title: Speed of Random Walks in Dirichlet Environment on a Galton-Watson Tree
Apr 19: Xinyi Li (Peking University)
Title:Non-existence of critical random fractals derived from Brownian motion
May 9: Baojun Wu (Peking University)
Title: Proof of Delfino-Viti conjecture
May 21: Hong-Bin Chen (IHES)
Title: Free energy in non-convex mean-field spin glass models
May 23: Chengshi Wang (Fudan University)
Title: Skew Brownian flow: a new approach
Jun 13: Jiaoyang Huang (University of Pennsylvania)
Title: Extreme eigenvalues of random regular graphs
Jun 24: Xiucai Ding (University of California, Davis)
Title: Manifold learning for noisy and high-dimensional datasets: challenges and some solutions
2023 Fall
Oct 12: Pengfei Tang (Tianjin University)
Title: Percolation on nonunimodular transitive graphs
Oct 25: Vadim Gorin (University of California, Berkeley)
Title: High-dimensional canonical correlation analysis
Oct 26: Zhituo Wang (Harbin Institute of Technology)
Title: Phase Transitions in Quantum Many-body system
Oct 27: Xin Sun (Peking University)
Title: Two dimensional percolation and Liouville quantum gravity
Nov 2: Shangjie Yang (Bar-Ilan University)
Title: Cutoff for polymer pinning dynamics in the repulsive phase
Nov 2: Guohuan Zhao (Academy of Mathematics and Systems Science of CAS)
Title: Stochastic equations with Divergence-free Drifts and its application
Nov 9: Zhenhao Cai (Peking University)
Title: One-arm exponent of critical metric graph Gaussian free field in high dimensions.
Nov 23: Jian Song (Shandong University)
Title: A new correlation inequality for Ising models with external fields.
Nov 30 (10am-11am): Ron Peled (Tel Aviv University)
Title: On the influence of edges in first-passage percolation on Z^d.
Nov 30 (4pm-5pm): Yuanyuan Xu (Academy of Mathematics and Systems Science of CAS)
Title: Universality of extreme eigenvalues of a large non-Hermitian random matrix.
Dec 7: Xiao Han (University of Science and Technology)
Title: Universal Rank Inference via Residual Subsampling with Application to Large Networks.
Dec 12: Mark Rudelson (University of Michigan) (At BIMSA)
Title: Graph alignment for Erdos-Renyi random graphs.
Dec 21: Changji Xu (Harvard University)
Title: Spectral gap and two point functions for spin glass models.