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Solving marginals of the LDP for the directed landscape

Das, Sayan et al.
arXiv (All) · Papers
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probability
We identify the explicit rate function for the upper-tail LDP of the parabolic Airy process and characterize the minimizing metrics, or equivalently the limit shape of the directed landscape, under the upper-tail conditioning. The LDP result answers Conjecture 10.1 in Das, Dauvergne, and Virág (2024
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