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math.PR2021
When the geodesic becomes rigid in the directed landscape
Zhipeng Liu
When the value of the directed landscape at a point is sufficiently large, the geodesic from to is rigid and its location fl…
math.PR2021
One-point distribution of the geodesic in directed last passage percolation
Zhipeng Liu
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…