Interacting systems of infinite spiking neurons with weights beyond uniform summability
| Autor: | Papageorgiou, Ioannis |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Markov Processes Relat. Fields, 29, 435-456, 2023 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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