演講公告

演講主題：On generalized Stirling permutations, families of increasing trees and urn models
主講人：Markus Kuba(中央研究院統計科學研究所)
演講日期：97年10月28日(星期二) <br>下午2:00-3:00
演講地點：(光復校區)科學一館223室
茶會時間：當天下午1:30於科學一館205室
摘要內容：
Stirling permutations were defined by Gessel and Stanley. A Stirling permutation is a permutation of the multiset {1,1, 2, 2..n,n} such that for each i, the elements occuring between the two occurrences of
i are larger than i. Recently, the number of ascents have been studied by Bona, and later by Janson. We consider generalized Stirling permutations and relate them with certain families of increasing trees, which allows to discuss several parameters in Stirling permutations by analyzing their counterparts in the corresponding tree family. Amongst others, we present a limit theorem for the number of j-ascents in generalized Stirling permutations. In order to describe the (asymptotic) behaviour of several parameters of interests, we study three (generalized) Polya urn models using various methods.

$返回$ go back