Spiking neurons : interacting Hawkes processes, mean field limits and oscillations*

This paper gives a short survey of some aspects of the study of Hawkes processes in high dimensions, in view of modeling large systems of interacting neurons. We first present a perfect simulation result allowing for a graphical construction of the process in infinite dimension. Then we turn to the...

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Bibliographic Details
Main Author: Löcherbach E.
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201760090