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

Zhipeng Liu

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arXiv · 2105.15150

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

Zhipeng Liu

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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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Zhipeng Liu. 2021-05-31. One-point distribution of the geodesic in directed last passage percolation. https://arxiv.org/abs/2105.15150

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