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arXiv · 2012.10337

The half-space Airy stat process

Dan Betea·Patrik Ferrari·Alessandra Occelli
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Abstract

We study the multipoint distribution of stationary half-space last passage percolation with exponentially weighted times. We derive both finite-size and asymptotic results for this distribution. In the latter case we observe a new one-parameter process we call half-space Airy stat. It is a one-parameter generalization of the Airy stat process of Baik-Ferrari-P\'ech\'e, which is recovered far away from the diagonal. All these results extend the one-point results previously proven by the authors.

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Dan Betea, Patrik Ferrari, Alessandra Occelli. 2020-12-18. The half-space Airy stat process. https://arxiv.org/abs/2012.10337

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