Thursday, January 16, 2025 - 16:15 in V3-201
Scaling limit of the harmonic crystal with random conductances
A talk in the Oberseminar Probability Theory and Mathematical Statistics series by
Sebastian Andres from TU Braunschweig
| Abstract: |
In this talk we consider discrete Gaussian free fields with ergodic random conductances on $\mathbb{Z}^d$, $d\geq 2$, where the conductances are possibly unbounded but satisfy a moment condition. As our main result, we show that, for almost every realisation of the environment, the rescaled field converges in law towards a continuous Gaussian field.
We also present a scaling limit for the covariances of the field. To obtain the latter, we establish a quenched local limit theorem for the Green's function of the associated random walk among random conductances with Dirichlet boundary conditions. This talk is based on a joint work with Martin Slowik and Anna-Lisa Sokol.
Within the CRC this talk is associated to the project(s): B10 |
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