The Annals of Applied Probability

Stochastic Cucker–Smale models: Old and new

Patrick Cattiaux, Fanny Delebecque, and Laure Pédèches

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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.

Article information

Ann. Appl. Probab., Volume 28, Number 5 (2018), 3239-3286.

Received: May 2017
Revised: March 2018
First available in Project Euclid: 28 August 2018

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Zentralblatt MATH identifier

Primary: 60H10: Stochastic ordinary differential equations [See also 34F05] 82C22: Interacting particle systems [See also 60K35] 92C17: Cell movement (chemotaxis, etc.)

Cucker–Smale dynamics stochastic interacting particles flocking


Cattiaux, Patrick; Delebecque, Fanny; Pédèches, Laure. Stochastic Cucker–Smale models: Old and new. Ann. Appl. Probab. 28 (2018), no. 5, 3239--3286. doi:10.1214/18-AAP1400.

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