Title: Repeated emergence of 4/3-exponent
Speaker: Pr. Jian Ding（Peking University）
Time：Friday, June 2, 2023, 14:30-15:30
Location: Zoom ID：876 0592 8254, Password：2023
Abstract: In this talk, I will describe the emergence of the 4/3-exponent in two seem-ingly unrelated models: random distance of Liouville quantum gravity and correlation length for the two-dimensional random field Ising model. I will then explain that such 4/3-exponent, while being unexpected among respective communities even from a physics perspective, has in fact been hinted in Leighton-Shor(1989) and Talagrand (2014) where the 4/3-exponent emerges in a random matching problem Finally, I will present the heuristic computation which leads tothe emergence of the 4/3-exponent. Based on a joint work with Subhajit Goswami and a joint work with Mateo Wirth.
Biography:
Jian Ding is Chair Professor at Peking University. His main research area isin probability theory, with focus on interactions with statistical physics andheoretical computer science. He also has a broad interest in probability questionsthat arise from application-onented problems. Before joining PKU, he has beena postdoc at Stanford and a faculty member at University of Chicago as well asUniversity of Pennsylvania, after his Ph.D.at UC Berkeley in 2011.
More information about HIT-WHU Seminar on Stochastic Analysis and Algorithms can be found here.
