ASYMPTOTIC PROPERTIES OF VARIOUS STOCHASTIC CUCKER-SMALE DYNAMICS

Laure Pédèches (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

Starting from the stochastic Cucker-Smale model introduced in[14], we look into its asymptotic behaviours for different kinds of interaction.First in term of ergodicity, whentgoes to infinity, seeking invariant probabilitymeasures and using Lyapunov functionals. Second, when the numberNofparticles becomes large, leading to results about propagation of chaos.

Domaines: Probabilités [math.PR]

Laure Pédèches. ASYMPTOTIC PROPERTIES OF VARIOUS STOCHASTIC CUCKER-SMALE DYNAMICS. Discrete and Continuous Dynamical Systems - Series A, 2018, 38 (6), pp.2731-2762. ⟨10.3934/dcds.2018115⟩. ⟨hal-02069059⟩