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The two-time distribution in geometric last-passage percolation

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We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show that it is given by a… Click to show full abstract

We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show that it is given by a contour integral of a Fredholm determinant.

Keywords: time distribution; passage percolation; two time; last passage

Journal Title: Probability Theory and Related Fields
Year Published: 2019

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