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Universität Augsburg
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Universität Augsburg
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Professor Dr. Sebastian Andres
Technische Universität Braunschweig
spricht am
Montag, 28. April 2025
um
17:00 Uhr
im
LMU Room B 349, Theresienstr. 39, 80333 München
über das Thema:
| 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. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Markus Heydenreich |