Tokyo Probability Seminar

Seminar information archive ~04/12Next seminarFuture seminars 04/13~

Date, time & place Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Makiko Sasada, Shuta Nakajima

2018/10/29

16:00-17:30   Room #128 (Graduate School of Math. Sci. Bldg.)
Sunder Sethuraman (University of Arizona)
On Hydrodynamic Limits of Young Diagrams (ENGLISH)
[ Abstract ]
We consider a family of stochastic models of evolving two-dimensional Young diagrams, given in terms of certain energies, with Gibbs invariant measures. `Static' scaling limits of the shape functions, under these Gibbs measures, have been shown by several over the years. The purpose of this article is to study corresponding `dynamical' limits of which less is understood. We show that the hydrodynamic scaling limits of the diagram shape functions may be described by different types of parabolic PDEs, depending on the energy structure.
The talk will be based on the article: https://arxiv.org/abs/1809.03592
[ Reference URL ]
http://math.arizona.edu/~sethuram/