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• W2964185994 abstract "We consider multi-class systems of interacting nonlinear Hawkes processes modeling several large families of neurons and study their mean field limits. As the total number of neurons goes to infinity we prove that the evolution within each class can be described by a nonlinear limit differential equation driven by a Poisson random measure, and state associated central limit theorems. We study situations in which the limit system exhibits oscillatory behavior, and relate the results to certain piecewise deterministic Markov processes and their diffusion approximations." @default.
• W2964185994 created "2019-07-30" @default.
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• W2964185994 date "2017-06-01" @default.
• W2964185994 modified "2023-10-14" @default.
• W2964185994 title "Multi-class oscillating systems of interacting neurons" @default.
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• W2964185994 doi "https://doi.org/10.1016/j.spa.2016.09.013" @default.
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