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October 2018 Stochastic Cucker–Smale models: Old and new
Patrick Cattiaux, Fanny Delebecque, Laure Pédèches
Ann. Appl. Probab. 28(5): 3239-3286 (October 2018). DOI: 10.1214/18-AAP1400

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.

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Patrick Cattiaux. Fanny Delebecque. Laure Pédèches. "Stochastic Cucker–Smale models: Old and new." Ann. Appl. Probab. 28 (5) 3239 - 3286, October 2018. https://doi.org/10.1214/18-AAP1400

Information

Received: 1 May 2017; Revised: 1 March 2018; Published: October 2018
First available in Project Euclid: 28 August 2018

zbMATH: 06974779
MathSciNet: MR3847987
Digital Object Identifier: 10.1214/18-AAP1400

Subjects:
Primary: 60H10 , 82C22 , 92C17

Keywords: Cucker–Smale dynamics , flocking , stochastic interacting particles

Rights: Copyright © 2018 Institute of Mathematical Statistics

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Vol.28 • No. 5 • October 2018
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