Mar 24, 2025
Gaussian fluctuations for the open one-dimensional KPZ equation
Vienna Probability Seminar
Date: March 24, 2025 |
3:45 pm –
5:00 pm
Speaker:
Andres Alberto Contreras Hip, University of Chicago
Location: Central Bldg / O1 / Mondi 2a (I01.O1.008)
Language:
English
In this talk we consider the open one-dimensional KPZ equation on the interval $[0,L]$ with Neumann boundary conditions. For $L \sim t^{\alpha}$ and stationary initial conditions, we obtain matching upper and lower bounds on the variance of the height function for $\alpha \in [0,\frac23]$ for different choices of the boundary parameters. Additionally, for fixed $L$ and an arbitrary probability measure as initial conditions, we show Gaussian fluctuations for the height function as $t\to \infty$. Joint work with Sayan Das and Antonios Zitridis.
