Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	王玉昭博士，伯明翰大学
Inviter:
Title:	Invariant Gibbs dynamics for the hyperbolic sine-Gordon and Liouville models
Time & Venue:	2020.09.29 16:00-17:00 Zoom会议: 942 676 4296 密码：123456
Abstract:	In this talk, I will talk about two stochastic hyperbolic partial differential equations (SPDEs); the sine-Gordon models arise in the context of Yukawa gases and the hyperbolic Liouville models arise in the context of Liouville quantum gravity. We consider stochastic damped wave equations of these models, also known as canonical stochastic quantisation equations. These dynamics are proposed to preserve their corresponding Gibbs measures. We construct global solutions to these equations and then show the invariance of the sine-Gordon measure and Liouville measure under the resulting dynamics. This is a series of joint works with Tadahiro Oh (Edinburgh) Tristan Robert (Rennes), Philippe Sosoe (Cornell) and Nikolay Tzvetkov (Cergy-Pontoise).