Javascript must be enabled
Ran Tao : Fluctuations of half-space KPZ: from 1/2 to 1/3
We study the half-space KPZ equation with a Neumann boundary condition, starting from stationary Brownian initial data. We derive a variance identity that links the fluctuations of the height function to the transversal fluctuations of a half-space polymer model. We then establish optimal fluctuation exponents for the height function in both the subcritical and critical regimes, along with corresponding estimates for the polymer endpoint. Based on a joint work with Yu Gu.
- Category: Probability
- Duration: 01:00:13
- Date: October 3, 2024 at 3:10 PM
- Views: 0
- Tags: seminar, Probability Seminar
0 Comments