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Lower-tail large deviations of the KPZ equation

Li-Cheng Tsai (Columbia University)
Monday, October 22, 2018 - 2:30pm to 3:30pm
PDL C-401

Abstract:  Regarding time as a scaling parameter, we prove the one-point, lower tail Large Deviation Principle (LDP) of the KPZ equation, with an explicit rate function. This result confirms existing physics predictions. We utilize a formula from [Borodin Gorin 16] to convert LDP of the KPZ equation to calculating an exponential moment of the Airy point process, and analyze the latter via stochastic Airy operator and Riccati transform.

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