The Annals of Applied Probability

Stochastic Cucker–Smale models: Old and new

Patrick Cattiaux, Fanny Delebecque, and Laure Pédèches

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Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1535443248

Digital Object Identifier
doi:10.1214/18-AAP1400

Mathematical Reviews number (MathSciNet)
MR3847987

Zentralblatt MATH identifier
06974779

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

Keywords
Cucker–Smale dynamics stochastic interacting particles flocking

Citation

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. https://projecteuclid.org/euclid.aoap/1535443248


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References

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