Probability Colloquium Augsburg-Munich
Monday, 28 April 2025 at LMU Munich
Speakers:
- Perla Sousi (Cambridge)
- Sebastian Andres (Braunschweig)
Schedule:
15:00 Welcome
15:30 Talk Perla Sousi
16:30 Refreshment break
17:00 Talk Sebastian Andres
18:00 Option for common dinner
Titles and abstracts:
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 ℤd, 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)
Titles and abstracts:
Inés Armendáriz: t.b.a.
Michalis Loulakis: Wasserstein spaces and error control in approximations by neural networks
We explore a connection between a weak topology on spaces of probability measures, a classical combinatorial problem in matching, and numerical schemes for the solution of PDEs by neural networks.