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arXiv · 1308.1070

On the average of the Airy process and its time reversal

Jinho Baik·Zhipeng Liu
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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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Jinho Baik, Zhipeng Liu. 2013-11-20. On the average of the Airy process and its time reversal. https://arxiv.org/abs/1308.1070

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