Lower-tail large deviations of the KPZ equation
Speaker:
Li-Cheng Tsai
Date and Time:
Monday, October 29, 2018 - 2:10pm to 3:00pm
Location:
Fields Institute, Room 210
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.