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arXiv · 1705.01195

Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos

Young-Pil Choi·Samir Salem
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Abstract

We consider large systems of stochastic interacting particles through discontinuous kernels which has vision geometrical constrains. We rigorously derive a Vlasov-Fokker-Planck type of kinetic mean-field equation from the corresponding stochastic integral inclusion system. More specifically, we construct a global-in-time weak solution to the stochastic integral inclusion system and derive the kinetic equation with the discontinuous kernels and the inhomogeneous noise strength by employing the 1-Wasserstein distance.

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Young-Pil Choi, Samir Salem. 2017-05-02. Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos. https://arxiv.org/abs/1705.01195

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