数学学科学术报告(叶永南 台湾中央研究院)

发布者:段玉玲   发布时间:2019-03-04  浏览次数:13


报 告 人:叶永南教授(Yeong-Nan Yeh,台湾中央研究院)
报告题目:Asymptotic normality criteria of coefficients of a polynomial and their applications in combinatorics
报告时间:2019年3月5号上午10:30-11:30 (10:30-11:30am,5th March)
报告地点:数计学院21幢427 (room 427,Building 21)

报告摘要(Abstract):
The asymptotic distribution theory for coefficients of a polynomial is an active topic in asymptotic analysis. In 1967, Harper proposed a criterion to measure the asymptotic normality of a series of numbers, when he researched the asymptotic behavior of Stirling numbers of the second kind. In this paper, we aim to develop some further asymptotic normality criteria of coefficients of a polynomial with all real roots or purely imaginary roots (including 0). These new asymptotic normality criteria turn out to be very efficient and have abundant applications in combinatorics, mainly including the coefficients of a series of characteristic polynomials of adjacency matrix, Laplacian matrix, signless Laplacian matrix, skew-adjacency matrix, chromatic polynomial, and some graph numbers, such as matching numbers, independence numbers, clique numbers. Among which, we generalize and verify some conjectures about asymptotic normality in combinatorics, e.g., the matching numbers proposed by Godsil and Kahn , the (signless) Laplacian coefficients claimed by Wang et al.


报告人简介: 
叶永南,台湾中研院数学所研究员, 1985年在美国纽约州立大学获博士学位。1987年返台担任中央研究院数学所副研究员。1991年1月晋升为研究员迄今。曾任加拿大魁北克大学资讯与数学系研究学者,麻省理工学院数学系、柏克莱加州大学统计系和澳洲Monash大学经济系访问学者。曾任台北数学推动中心主任, 中研院数学所副所长。学术研究除数学外, 还涉及物理、化学、统计、经济等多个领域。多次获得台湾杰出研究奖, 杰出研究计划奖。组合论国际顶级杂志JCTA曾出版专门文章介绍Yeh-species,这个由叶永南研究员名字命名的领域, 现在这一方向的研究仍然在不断深入。

 

联系电话:0579-82298188(学院办) 0579-82298900(教务办) 0579-82298887(学工办)
浙江师范大学数理与信息工程学院 地址:浙江省金华市迎宾大道688号 邮编:321004 管理登陆
Copyright?2011 mpi.zjnu.net.cn All rights Reserved