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--- evenements:seminaireproba-math-fi [2026/05/18 14:22]
Valérie Picot
+++ evenements:seminaireproba-math-fi [2026/06/01 09:05] (current)
Valérie Picot
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 **__Exposés de l'année 2026__ :**
+**jeudi 4 juin à 15h20 :** <color #088A85> Chenjiayue Qi </color> (IHES)  //Singular vortices and atypical currents in symmetric simple exclusion process//++ Voir résumé |  \\ For 2-dimensional symmetric simple exclusion process(SSEP), we prove the large deviation estimates related to the empirical currents through segments. The physical heuristics by Bodineau-Derrida-Lebowitz reveals that, to produce atypical currents through a segment, the SSEP naturally forms singular vortices around the endpoints of the segment. We establish rigorous mathematical analysis around this physical heuristic, developing a novel multi-scale renormalization method and combining it with the quantitative renormalization method of Jara-Menezes. These together derive large deviation estimates with rate N^2/log N, where the logarithmic factor comes from the singular vortices.
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 **jeudi 21 mai à 14h :** <color #088A85> Peter Tankov</color> (ENSAE)  //Fast and slow mean-field games//++ Voir résumé |  \\ We propose a framework for constructing approximate Nash equilibria in mean-field games (MFG) with common noise based on a two-time-scale structure. In our model, the common noise is carried by a fast variable evolving under ergodic dynamics, while the slow