A Scaling Limit for t-Schur Measures

2003/09/30 by Sho Matsumoto
Mathematics · #math.PR #math.CO

paper · pdf

published as Kyushu J. Math. 59 (2005), no. 1, 25--38 · 13 pages

arxiv created 2003/12/01 · arxiv updated 2009/12/01

Abstract

We introduce a generalization of the Schur measure. And we give a combinatorial interpretation to this generalized measure and prove that a scaling limit for this measure is given by the Tracy-Widom distribution.

Related

• A limit theorem for shifted Schur measures
• Limit shapes for skew Howe duality
• Tracy-Widom limit for Kendall's tau
• Last passage percolation in lower triangular domain
• Correlation functions of the shifted Schur measure