The half-space Airy stat process

D. Betea, P.L. Ferrari and A. Occelli

Stochastic Processes and their Applications, 2022, vol. 146, issue C, 207-263

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–Péché, which is recovered far away from the diagonal. All these results extend the one-point results previously proven by the authors.

Date: 2022
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DOI: 10.1016/j.spa.2022.01.002

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