Interacting Brownian Swarms: Some Analytical Results

We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms implemented using mutual rank-based interactions. For appropriate values of the underlying control parameters, the swarm propagates tightly and the distances separating successive agents are iid expone...

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Bibliographic Details
Main Authors: Guillaume Sartoretti, Max-Olivier Hongler
Format: Article
Language:English
Published: MDPI AG 2016-01-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/1/27