## Speaker:

Li-Cheng Tsai

## Institution:

Columbia University

## Time:

Tuesday, October 23, 2018 - 11:00am to 12:00pm

## Host:

## Location:

306 RH

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.