YMSC Probability Seminar

Nov 21: Wen-Bo Li (Peking University)

Title: The Conformal Dimension and Minimality of Stochastic Objects

Abstract: The conformal dimension of a metric space is the infimum of the Hausdorff dimension among all its quasisymmetric images. We develop tools related to the Fuglede modulus to study the conformal dimension of stochastic spaces. We first construct the Bedford-McMullen type sets, and show that Bedford-McMullen sets with uniform fibers are minimal for conformal dimension. We further develop this line of inquiry by proving that a "natural" stochastic object, the graph of the one dimensional Brownian motion, is almost surely minimal. If time permits, I will also explore further developments related to Schramm-Loewner evolution (SLE), conformal loop ensembles (CLE), and related questions motivated by an exploration of the renowned Sullivan dictionary. This is a joint work with Ilia Binder(UToronto) and Hrant Hakobyan(KSU), accepted by Duke Math. J.

Nov 28: TBA

Dec 5: Jinjiong Yu (East China Normal University)

Title: The critical disordered pinning measure

Dec 12: TBA

Dec 19: Xi Geng (University of Melbourne)

Title: Long time behaviour of the parabolic Anderson Model in the hyperbolic space

Dec 26: TBA

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

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

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.