开元ky棋牌

学术报告

时间:2019-06-25浏览:10

报告时间

2019627日下午15:00-17:00

报告地点

雁山校区理1-508

报告题目

Uniform spanning forests on biased Zd

报告人

向开南 教授、博士生导师

报告摘要

The uniform spanning forest measure USF on the Euclidian lattice Zd is not necessarily con-centrated on the set of spanning trees of Zd. In fact, a remarkable result of R. Pemantle (1991)says that USF is concentrated on spanning trees if and only if d4. We study the _-biased random walk on Zd with 0 < lambda< 1 and d2; and prove that the corresponding USF is of finitely many trees if and only if 2  d  3. More precisely, we prove that the uniform spanning forest associated with the biased random walk on Zd has 2d trees if 2  d  3 and infinitely many trees if d  4. Our method relies on analyzing the spectral radius and the speed of the biased random walk. When d = 1 and 0 < lambda < 1; the related free uniform spanning forest is the singleton of the tree Z1, whereas the related wired uniform spanning forest has two trees. The talk is based on a joint work with Zhan Shi (Paris VI Univ.), Vladas Sidoravicius (NYU-Shanghai), He Song (Taizhou Univ.) and Longmin Wang (Nankai Univ.).

报告人概况

    向开南教授主要研究理论概率论与统计物理的交叉领域问题。他本科毕业于湘潭大学数学系在北京师范大学数系跟从王梓坤院士、李占柄教授读硕士,在中国科学院应用数学研究所师从马志明院士读博士,在北京大学数学科学学院师从钱敏平教授从事博士后研究工作。2006 年入选教育部新世纪优秀人才支撑计划,是南开大学、湘潭大学的博士生导师。顶级数学期刊Comm. Pure Appl. Math.(2010)和Trans. Amer. Math.Soc.(2012)发表论文。在超布朗运动的清晰Schilder型定理的Long-Standing猜想上取得重大突破性与终结性的成果。他是科学网(www.sciencenet.cn)的博客写手(blog.sciencenet.cn/u/MinGong1),多篇博文上了科学网的头版头条,获得4项国家自科基金项目资助。

参加报告人员要求

开元ky棋牌教师研究生

备注

 

 

XML 地图 | Sitemap 地图
Baidu
sogou