Stochastic stability of a system of perfect integrate-and-fire inhibitory neurons

T. V. Prasolov

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 971-987.

Résumé

We study a system of perfect integrate-and-fire inhibitory neurons. It is a system of stochastic processes which interact through receiving an instantaneous increase at the moments they reach certain thresholds. In the absence of interactions, these processes behave as a spectrally positive Lévy processes. Using the fluid approximation approach, we prove convergence to a stable distribution in total variation.

Détail

Keywords: spiking neural network, Lévy process, stability, fluid limits.

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