On the average of the Airy process and its time reversal

Jinho Baik (University of Michigan)
Zhipeng Liu (University of Michigan)

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.

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Pages: 1-10

Publication Date: November 24, 2013

DOI: 10.1214/ECP.v18-2952

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