Oberwolfach Reports

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Volume 13, Issue 4, 2016, pp. 3031–3086
DOI: 10.4171/OWR/2016/54

Published online: 2017-12-20

Large Scale Stochastic Dynamics

Thierry Bodineau[1], Fabio Toninelli[2] and Bálint Tóth[3]

(1) Ecole Polytechnique, Palaiseau, France
(2) Université Claude Bernard Lyon I, Villeurbanne, France
(3) University of Bristol, UK and Technical University of Budapest, Hungary

The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. There were 53 participants, including 4 postdocs and graduate students, working in diverse intertwining areas of probability and statistical mechanics. During the meeting, 24 talks of 50 minutes were scheduled and an evening session was organised with 10 more short talks of 10 minutes, mostly by younger participants. These talks addressed the following topics: hydrodynamic limits and hydrodynamic fluctuations with a special emphasis on KPZ fluctuations, scaling limits in percolation and random walks, approach to equilibrium in reversible systems with a strong focus on kinetically constrained dynamics.

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Bodineau Thierry, Toninelli Fabio, Tóth Bálint: Large Scale Stochastic Dynamics. Oberwolfach Rep. 13 (2016), 3031-3086. doi: 10.4171/OWR/2016/54