STOCHASTIC CUCKER-SMALE MODELS: OLD AND NEW

• 成果类型: Article
• 署名作者: Cattiaux, Patrick; Delebecque, Fanny; Pedeches, Laure
• 署名单位: Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Universite Federale Toulouse Midi-Pyrenees (ComUE); Institut National des Sciences Appliquees de Toulouse
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/18-AAP1400
• 发表日期: 2018
• 页码: 3239-3286
• 关键词: mean-field limit; flocking; emergence; BEHAVIOR; DYNAMICS; SYSTEM

摘要

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.