Speaker

　　Title

　　Time

　　Venue

N613

　　Abstract

　　Liouville Brownian motion was introduced as a canonical diffusion process under Liouville quantum gravity. It is constructed as a time change of 2-dimensional Brownian motion by the continuous additive functional associated with a Liouville measure, through a regularizing approximation procedure of the Gaussian free field. In this talk, we are concerned with the question whether one can construct Liouville Brownian motion directly from the Liouville measure. We will present a discrete approximation scheme that in fact works for any time-changed Brownian motion by a Revuz measure that has full quasi support. Based on joint work with Yang Yu.  

　　Affiliation

　　陈振庆，美国华盛顿⼤学（⻄雅图）数学系终⾝教授，分别于 2007年和 2014 年当选为国际数理统计学会会⼠和美国数学学会会⼠，2019 年荣获 Itô 奖。主要从事概率论及随机过程的研究，主要研究⽅向包括⻢尔可夫过程和狄⽒空间理论、位势理论、随机微分⽅程、扩散过程、稳定过程以及偏微分⽅程中的概率⽅法等。现（曾）担任国际著名期刊 Potential Analysis 主编以及 AOP、AAP、SPA、EJP、JTP、PAMS 等期刊编委；在 JEMS、MAMS、Math. Ann.、Adv. Math.、CMP、AOP、PTRF、TAMS、JFA 等顶尖期刊发表论⽂近 200 篇。