A limit theorem for stochastically decaying partitions at the edge-Reference-Cited by-同舟云学术

A limit theorem for stochastically decaying partitions at the edge

Published:2016-10 Issue:04 Volume:05 Page:1650016
ISSN:2010-3263
Container-title:Random Matrices: Theory and Applications
language:en
Short-container-title:Random Matrices: Theory Appl.

Author:

Jeong In-Jee¹,Sodin Sasha²³

Affiliation:

1. Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA

2. School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel

3. School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, UK

Abstract

We provide a combinational proof of the fact that the sequence of rows of certain stochastically decaying partitions, after appropriate scaling in time and length, converges to the Airy line ensemble. Our argument is based on a modification of the moment method, and it highlights the similarity between random partitions and random matrices.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Statistics and Probability,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010326316500167

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