UC Davis Mathematics

Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Lower-tail large deviations of the KPZ equation

Mathematical Physics & Probability

Speaker: Li-Cheng Tsai, Columbia University
Related Webpage: https://lc-tsai.github.io/
Location: 2112 MSB
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.