278 citations · 3.1k across the 101 of their papers we have counts for
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math-ph2018
Mathematical models of collective dynamics and self-organization
Pierre Degond
In this paper, we begin by reviewing a certain number of mathematical challenges posed by the modelling of collective dynamics and self-organization. Then, we focus on two specific…
math-ph2018
Propagation of chaos for topological interactions
Pierre Degond, Mario Pulvirenti
We consider a -particle model describing an alignment mechanism due to a topological interaction among the agents. We show that the kinetic equation, expected to hold in the mea…