About:
The Rough Stochastic Analysis Seminar is an online seminar on recent progress in singular stochastic analysis and related topics, such as quantum field theory. The seminar is organized by Ajay Chandra, Konstantin Matetski, and Hao Shen.
The seminar meets on the last Friday of every month (except for July, August, and December) - at 10:00AM PT / 12:00PM CT / 1:00PM ET.
Please write to rsa.seminar@gmail.com if you would like the zoom link to our next seminar, you can also find videos of past talks on our youtube channel.
Upcoming Talks
Abstract: TBC
Past Talks
Abstract:
We will discuss how to study renormalisation of Stochastic PDEs in the presence of Boundary conditions, using the flow approach introduced by Pawel Duch. In particular we look at the Phi^4 equation with Dirichlet boundary conditions on a general domain with smooth boundary. We find the need for additional renormalisation accounting for the boundary conditions, as in previous work of Gerencer and Hairer.
We also show that this boundary renormalisation can be taken constant even for domains with curved boundary. This is joint work with Majdouline Borji and Leonard Ferdinand.
Abstract:
In this talk, I will show an approach to deriving a priori bounds for coercive SPDEs based on scaling. The basic idea is to first show bounds for the equation with a small noise and then rescale the bounds to a global scale. While many equations that the approach can handle have been treated recently with other methods, its advantages are that it is quite simple and allows one to state a single result that is applicable to a variety of equations, such as rough differential equations and parabolic/elliptic SPDEs. Based on joint work with Massimiliano Gubinelli.