Metastability for systems of interacting neurons

DOI10.1214/21-AIHP1164zbMath1492.60282arXiv2004.13353OpenAlexW4210309011MaRDI QIDQ2078020

Pierre Monmarché, Eva Löcherbach

Publication date: 25 February 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13353

zbMATH Keywords

metastabilitycouplingpiecewise deterministic Markov processessystems of interacting neurons

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Estimating the interaction graph of stochastic neuronal dynamics by observing only pairs of neurons ⋮ Recent progress on limit theorems for large stochastic particle systems ⋮ Convergence of the temporal averages of a metastable system of spiking neurons ⋮ Metastability in a stochastic system of spiking neurons with leakage

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