Corner paths are nearly the most likely geodesics in last passage percolation: they beat all but an exponentially small fraction of paths, and in exponential LPP their probability matches the maximum up to a sharp asymptotic constant under a stated moderate deviation assumption.
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On the most likely geodesic in last passage percolation
Corner paths are nearly the most likely geodesics in last passage percolation: they beat all but an exponentially small fraction of paths, and in exponential LPP their probability matches the maximum up to a sharp asymptotic constant under a stated moderate deviation assumption.