# Category Archives: preprint

## Kinetic description of optimal control problems and applications to opinion consensus

Giacomo Albi, Michael Herty, Lorenzo Pareschi (30/01/2014 arXiv:1401.7798) In this paper an optimal control problem for a large system of interacting agents is considered using a kinetic perspective. As a prototype model we analyze a microscopic model of opinion formation under … Continue reading

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## Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics

Giacomo Albi, Lorenzo Pareschi (27 /09/2012 arXiv:1210.1172) In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal … Continue reading

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## Binary interaction algorithms for the simulation of flocking and swarming dynamics

Giacomo Albi, Lorenzo Pareschi (04/03/2012 arXiv:1203.0721) Microscopic models of flocking and swarming takes in account large numbers of interacting individuals. Numerical resolution of large flocks implies huge computational costs. Typically for $N$  interacting individuals we have a cost of $O(N^2)$. We tackle the problem … Continue reading