## 東京確率論セミナー

開催情報 月曜日　16:00～17:30　数理科学研究科棟(駒場) 128号室 佐々田 槙子, 久保田 直樹 (日本大学), 阿部 圭宏 (学習院大学)

### 2018年10月29日(月)

16:00-17:30   数理科学研究科棟(駒場) 128号室
Sunder Sethuraman 氏 (University of Arizona)
On Hydrodynamic Limits of Young Diagrams (ENGLISH)
[ 講演概要 ]
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
[ 講演参考URL ]
http://math.arizona.edu/~sethuram/