Monday, 28 April 2025 at LMU Munich

Speakers:

• Perla Sousi (Cambridge)
• Sebastian Andres (Braunschweig)

Perla Sousi: t.b.a.

Sebastian Andres: Scaling limit of the harmonic crystal with random conductances

In this talk we consider discrete Gaussian free fields with ergodic random conductances on ℤ^d, d ≥ 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.

Wednesday, 28 May 2025 at Augsburg University

Speakers:

• Inés Armendáriz (Buenos Aires)
• Michalis Loulakis (Athens)

t.b.a.