Upper tail large deviations of the directed landscape
arxiv(2024)
摘要
Starting from one-point tail bounds, we establish an upper tail large
deviation principle for the directed landscape at the metric level. Metrics of
finite rate are in one-to-one correspondence with measures supported on a set
of countably many paths, and the rate function is given by a certain Kruzhkov
entropy of these measures. As an application of our main result, we prove a
large deviation principle for the directed geodesic.
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