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arxiv: 1701.09065 · v4 · pith:HFX5GBFNnew · submitted 2017-01-31 · 🧮 math.PR

Weakly self-interacting velocity jump processes for bacterial chemotaxis and adaptive algorithms

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keywords self-interactingjumpvelocityadaptivealgorithmsapproachesbacterialbehaves
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A self-interacting velocity jump process is introduced, which behaves in large time similarly to the corresponding self-interacting diffusion, namely the evolution of its normalized occupation measure approaches a deterministic flow.

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