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Communication Dans Un Congrès Année : 2013

Large population asymptotics for interacting diffusions in a quenched random environment

Eric Luçon

Résumé

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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Dates et versions

hal-01022199 , version 1 (10-07-2014)

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Eric Luçon. Large population asymptotics for interacting diffusions in a quenched random environment. Particle Systems and PDEs II, Dec 2013, Braga, Portugal. pp.231-251, ⟨10.1007/978-3-319-16637-7⟩. ⟨hal-01022199⟩
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