Vicious Walkers and Random Contraction Matrices

被引：7

作者：

Novak, Jonathan ^{[1
]}

机构：

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2009年 / 2009卷 / 17期

关键词：

UNITARY;

D O I：

10.1093/imrn/rnp055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Random contraction matrices obtained by truncating Haar distributed random unitary matrices were originally introduced and studied in the context of scattering theory. In this paper, we demonstrate a connection between ensembles of random contractions and the random-turns vicious walker model from statistical physics. In particular, we show that the moments of the trace of a random contraction enumerate configurations of vicious walkers.

引用

页码：3310 / 3327

页数：18

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