Probability Seminar

Li Cheng TsaiColumbia University
Lower-tail large deviations of the KPZ equation

Monday, October 1, 2018 - 4:00pm
Malott 406

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.