Translator Disclaimer
2013 On the average of the Airy process and its time reversal
Jinho Baik, Zhipeng Liu
Author Affiliations +
Electron. Commun. Probab. 18: 1-10 (2013). DOI: 10.1214/ECP.v18-2952

Abstract

We show that the supremum of the average of the Airy process and its time reversal minus a parabola is distributed as the maximum of two independent GUE Tracy-Widom random variables. The proof is obtained by considering a directed last passage percolation model with a rotational symmetry in two different ways. We also review other known identities between the Airy process and the Tracy-Widom distributions.

Citation

Download Citation

Jinho Baik. Zhipeng Liu. "On the average of the Airy process and its time reversal." Electron. Commun. Probab. 18 1 - 10, 2013. https://doi.org/10.1214/ECP.v18-2952

Information

Accepted: 24 November 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1305.60101
MathSciNet: MR3145045
Digital Object Identifier: 10.1214/ECP.v18-2952

JOURNAL ARTICLE
10 PAGES


SHARE
Back to Top