東京確率論セミナー

過去の記録 ~03/28次回の予定今後の予定 03/29~

開催情報 月曜日 16:00~17:30 数理科学研究科棟(駒場) 126号室
担当者 佐々田槙子、中島秀太(明治大学)
セミナーURL https://sites.google.com/view/tokyo-probability-seminar23/2023年度

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
[ 参考URL ]
http://math.arizona.edu/~sethuram/