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arxiv: 0706.3343 · v1 · submitted 2007-06-22 · 🧮 math.DS · math.PR

Flocking in noisy environments

classification 🧮 math.DS math.PR
keywords achievedbehaviourbelowboundedcertainconceptconditionsconsider
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We consider a perturbed version of the dynamics of a flock introduced by Cucker and Smale ("Emergent behaviour in flocks") and prove, under similar conditions, that nearly-alignment (a concept that is precised in the text) is achieved with a certain probability, bounded from below.

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