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20112023
most citedThe derivation of Swarming models: Mean-Field Limit and Wasserstein distances

195 citations · 494 across the 56 of their papers we have counts for

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Showing 2015Show all

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math.AP2015

Mean-field limit for collective behavior models with sharp sensitivity regions

José A. Carrillo, Young-Pil Choi, Maxime Hauray +1

We rigorously show the mean-field limit for a large class of swarming individual based models with local sharp sensitivity regions. For instance, these models include nonlocal repu…

math.NA2015

Convergence of a linearly transformed particle method for aggregation equations

Martin Campos Pinto, José A. Carrillo, Frédérique Charles +1

We study a linearly transformed particle method for the aggregation equation with smooth or singular interaction forces. For the smooth interaction forces, we provide convergence e…