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The half-space Airy stat process

Author

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

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.

Suggested Citation

  • Betea, D. & Ferrari, P.L. & Occelli, A., 2022. "The half-space Airy stat process," Stochastic Processes and their Applications, Elsevier, vol. 146(C), pages 207-263.
    • Handle: RePEc:eee:spapps:v:146:y:2022:i:c:p:207-263
    DOI: 10.1016/j.spa.2022.01.002
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    References listed on IDEAS

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    1. Barraquand, Guillaume, 2015. "A phase transition for q-TASEP with a few slower particles," Stochastic Processes and their Applications, Elsevier, vol. 125(7), pages 2674-2699.
    2. Paul J. Burke, 1956. "The Output of a Queuing System," Operations Research, INFORMS, vol. 4(6), pages 699-704, December.
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