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

Pierre Monmarché (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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.

Domaines: Probabilités [math.PR]; Equations aux dérivées partielles [math.AP]

Pierre Monmarché. Weakly self-interacting velocity jump processes for bacterial chemotaxis and adaptive algorithms. 2018. ⟨hal-01716335⟩