5 Feb 2026

Barbara Dembin (Université de Strasbourg)

14h

We consider surfaces of $\mathbb{Z}^d$ in $\mathbb{R}$ and a random environment $\eta$ defined on $\mathbb{Z}^d \times \mathbb{R}$. We are interested in surfaces $\varphi$ that minimize the sum of their elastic energy (the $\ell_2$-norm over $\mathbb{Z}^d$ of the gradient of the surface) and the noise on the surface $\sum_v \eta_{v, \varphi_v}$. When the noise is a fractional Brownian field, we obtain the values of the exponents related to energy and spatial fluctuations.
Joint work with Dor Elboim and Ron Peled.