The half-space Airy stat process

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2022

ISSN: ['1879-209X', '0304-4149']

DOI: https://doi.org/10.1016/j.spa.2022.01.002