Abstract: 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.
Gaussian fluctuations for the open one-dimensional KPZ equation
24.03.2025 15:45 - 16:45
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
ISTA, Mondi 2 (I01.01.008), Central Building