RANDOM PERMUTATION MATRICES UNDER THE GENERALIZED EWENS MEASURE

• 成果类型: Article
• 署名作者: Hughes, Christopher; Najnudel, Joseph; Nikeghbali, Ashkan; Zeindler, Dirk
• 署名单位: University of York - UK; University of Zurich; University of Bielefeld
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/12-AAP862
• 发表日期: 2013
• 页码: 987-1024
• 关键词: eigenvalue distributions

摘要

We consider a generalization of the Ewens measure for the symmetric group, calculating moments of the characteristic polynomial and similar multiplicative statistics. In addition, we study the asymptotic behavior of linear statistics (such as the trace of a permutation matrix or of a wreath product) under this new measure.