Abstract
We review some recent results on large population behavior of interacting diffusions in a random environment. Emphasis is put on the quenched influence of the environment on the macroscopic behavior of the system (law of large numbers and fluctuations). We address the notion of (non-)self-averaging phenomenon for this class of models. A guiding thread in this survey is the Kuramoto synchronization model which has met in recent years a growing interest in the literature.
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Acknowledgments
One of the articles reviewed here [41] was written at the Technische Universität of Berlin and was supported by the BMBF, FKZ 01GQ 1001B.
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Luçon, E. (2015). Large Population Asymptotics for Interacting Diffusions in a Quenched Random Environment. In: Gonçalves, P., Soares, A. (eds) From Particle Systems to Partial Differential Equations II. Springer Proceedings in Mathematics & Statistics, vol 129. Springer, Cham. https://doi.org/10.1007/978-3-319-16637-7_8
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DOI: https://doi.org/10.1007/978-3-319-16637-7_8
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