Аннотация
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.
Язык оригинала | английский |
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Страницы (с-по) | 971-987 |
Число страниц | 17 |
Журнал | Siberian Electronic Mathematical Reports |
Том | 17 |
DOI | |
Состояние | Опубликовано - 2020 |
Предметные области OECD FOS+WOS
- 1.01 МАТЕМАТИКА