# Local stationarity of exponential last passage percolation

30 Jan 2020 Balázs Márton Busani Ofer Seppäläinen Timo

We consider point to point last passage times to every vertex in a neighbourhood of size $\delta N^{\frac{2}{3}}$, distance $N$ away from the starting point. The increments of these last passage times in this neighbourhood are shown to be jointly equal to their stationary versions with high probability that depends on $\delta$ only... (read more)

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• PROBABILITY