Mathematics Colloquia and Seminars
Lower-tail large deviations of the KPZ equationMathematical Physics & Probability
|Speaker:||Li-Cheng Tsai, Columbia University|
|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.