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Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.02.007
Abstract: We consider spatially extended systems of interacting nonlinear Hawkes processes modeling large systems of neurons placed in Rd and study the associated mean field limits. As the total number of neurons tends to infinity, we…
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Keywords:
spatially extended;
limits nonlinear;
field;
field limits ... See more keywords
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Published in 2022 at "Bernoulli"
DOI: 10.3150/21-bej1335
Abstract: We consider a sequence of systems of Hawkes processes having mean field interactions in a diffusive regime. The stochastic intensity of each process is a solution of a stochastic differential equation driven by N independent…
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Keywords:
mean field;
diffusive regime;
field limits;
limits interacting ... See more keywords