STOCHASTIC CUCKER-SMALE MODELS: OLD AND NEW

Patrick Cattiaux (1) , Fanny Delebecque (1) , Laure Pédèches (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

In this paper we revisit and generalize various stochastic models extending the deterministic Cucker-Smale model for self organization. We study flocking and swarming properties. We show how these properties strongly depend on the structure and on the variance of the noise.

Mots clés: Cucker-Smale dynamics; stochastic interacting particles; flocking

Domaines: Mathématiques [math]; Probabilités [math.PR]

Patrick Cattiaux, Fanny Delebecque, Laure Pédèches. STOCHASTIC CUCKER-SMALE MODELS: OLD AND NEW. The Annals of Applied Probability, 2018, 28 (5), pp.3239-3286. ⟨10.1214/18-AAP1400⟩. ⟨hal-01826717v2⟩