One-point distribution of the geodesic in directed last passage percolation

Published 31 May 2021 in math.PR, math-ph, and math.MP | (2105.15150v2)

Abstract: We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the last passage times, and its limit as the parameters go to infinity under the KPZ scaling.

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Authors (1)

Zhipeng Liu

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