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Stationary Half-Space Last Passage Percolation

[HYBRID WORKSHOP] Integrable Structures in Random Matrix Theory and Beyond October 18, 2021 - October 22, 2021

October 21, 2021 (11:30 AM PDT - 12:20 PM PDT)
Speaker(s): Alessandra Occelli (Instituto Superior Técnico)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
  • Last passage percolation

  • half-space

  • KPZ universality class

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Abstract

We present our result on stationary last passage percolation in half-space geometry. We determine the limiting distribution of the last passage time in a critical window close to the origin. The result is a new two-parameter family of distributions: one parameter for the strength of the diagonal bounding the half-space and the other for the distance of the point of observation from the origin. It should be compared with the one-parameter family giving the Baik--Rains distributions for full-space geometry. Joint work with D. Betea and P. Ferrari.

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