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arXiv · 2401.10955

Replica Mean Field limits for neural networks with excitatory and inhibitory activity

Ioannis Papageorgiou
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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.

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Ioannis Papageorgiou. 2024-01-19. Replica Mean Field limits for neural networks with excitatory and inhibitory activity. https://arxiv.org/abs/2401.10955

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