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Well-posedness and large-particle limit for a model in collective dynamics

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The Vicsek model is a well studied model for collective dynamics where particles move at a constant speed while trying to align their orientations, up to some noise. The particle description consists of a coupled system of stochastic differential equations which in the large particle limits leads, formally, to a transport-type equation. Different modelling choices give rise to various challenges in proving the well-posedness of the equations and the large-particle derivation. (Based on joint work with Marc Briant and Antoine Diez.)

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