Interacting systems of infinite spiking neurons with weights beyond uniform summability
Probability
2024-01-04 v3
Abstract
We consider an infinite system of spiking neurons with a drift and both excitatory and inhibitory connections. We study conditions for non-explosiveness and the uniqueness of the invariant measure. In particular, we examine conditions that allow this infinite interacting system to go beyond the usual interactions of uniformly summable weights. As a result, we extend the Galves-L\"ocherbach model beyond the restrictive uniform summability of the model.
Keywords
Cite
@article{arxiv.1907.09012,
title = {Interacting systems of infinite spiking neurons with weights beyond uniform summability},
author = {Ioannis Papageorgiou},
journal= {arXiv preprint arXiv:1907.09012},
year = {2024}
}