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Lower-tail large deviations of the KPZ equation
ProbabilitySpeaker: | Li-Cheng Tsai, Columbia University |
Related Webpage: | https://lc-tsai.github.io/ |
Location: | 2112 MSB |
Start time: | Wed, Oct 17 2018, 3:10PM |
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.