##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability Seminar

## Li-Cheng Tsai

#### Columbia University

## Lower-tail large deviations of the KPZ equation

##### 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

Host: Todd Kemp

### October 25, 2018

### 11:00 AM

### AP&M 6402

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