Replica Mean Field limits for neural networks with excitatory and inhibitory activity
Probability
2025-05-27 v2
Abstract
We study Replica Mean Field limits for a neural system of infinitely many neurons with both inhibitory and excitatory interactions. As a result we obtain an analytical characterisation of the invariant state. In particular we focus on the Galves-L\"ocherbach model with interactions beyond the Uniform Summability Principle.
Keywords
Cite
@article{arxiv.2401.10955,
title = {Replica Mean Field limits for neural networks with excitatory and inhibitory activity},
author = {Ioannis Papageorgiou},
journal= {arXiv preprint arXiv:2401.10955},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1907.09012