报告题目: Random Young Diagrams

报告人: Funaki, Tadahisa，日本东京大学教授

报告时间：2017年8月11日 上午9:00-10:00

报告地点：数学与统计学院一楼南研

摘 要: In this talk, We prove the equivalence of ensembles or a realization of the local equilibrium for Bernoulli measures on Z conditioned on two conserved quantities under the situation that one of them is spatially inhomogeneous. For the proof, we extend the classical local limit theorem for a sum of Bernoulli independent sequences to those multiplied by linearly growing weights. The motivation comes from the study of random Young diagrams and their evolutional models, which were originally suggested by Herbert Spohn. We discuss the relation between our result and the so-called Vershik curve which appears in a scaling limit for height functions of two-dimensional Young diagrams. We also discuss a related random dynamics.

报告人简介： Funaki, Tadahisa教授， 日本东京大学教授，博士生导师。 1982年，于Nagoya University大学获得博士学位。曾任日本数学会理事长，2002年获得MSJ Analysis Prize，2007年获得MSJ Autumn Prize。目前研究兴趣为：相互作用系统的大尺度随机分析、非线性方程的推导。发表论文72篇，其中多篇论文发表在Probab. Theory Related Fields、 Ann. Probab.Comm. Math. Phys、 J. Funct. Anal.等著名期刊上。