Past events
Wednesday, 28 May 2025 at Augsburg 伟德国际_伟德国际1946$娱乐app游戏
Speakers:
- Inés Armendáriz (Buenos Aires)
- Michalis Loulakis (Athens)
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Titles and abstracts:
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Inés Armendáriz:?Condensing zero range process
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We prove a fluid limit for the coarsening phase of the condensing zero-range process on a finite number of sites. When time and occupation per site are linearly rescaled by the total number of particles, the evolution of the process is described by a piecewise linear trajectory in the simplex indexed by the sites. The linear coefficients are determined by the trace process of the underlying random walk on the subset of non-empty sites, and the trajectory reaches an absorbing configuration in finite time. We identify the set of absorbing configurations and characterize the absorbing boundaries.
Joint work with Johel Beltrán, Daniela Cuesta and Milton Jara.
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Michalis Loulakis:?Wasserstein spaces and error control in approximations by neural networks
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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.
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?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
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Titles and abstracts:
Perla Sousi:??? Phase transition for the late points of random walk (please click for abstract)
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Sebastian Andres:?Scaling limit of the harmonic crystal with random conductances
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In this talk we consider discrete Gaussian free fields with ergodic random conductances on ?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.
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