The maximal action A satisfies A = a ln L + O(1) with overwhelming probability for a deterministic a in (0, ∞).
Almost sharp rates of conver- gence for the average cost and displacement in the optimal matching problem.The Abel Symposium, 93–103 (2023), Springer
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Quantitative homogenization of the maximal action of curves in a Brownian potential
The maximal action A satisfies A = a ln L + O(1) with overwhelming probability for a deterministic a in (0, ∞).