24. Mar 2025
Gaussian fluctuations for the open one-dimensional KPZ equation
Vienna Probability Seminar
Datum: 24. March 2025 |
15:45 –
17:00
Sprecher:
Andres Alberto Contreras Hip, University of Chicago
Veranstaltungsort: Central Bldg / O1 / Mondi 2a (I01.O1.008)
Sprache:
Englisch
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.
