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Convergence of the temporal averages of a metastable system of spiking neurons

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Autor(es):
Andre, Morgan
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Stochastic Processes and their Applications; v. 157, p. 27-pg., 2022-12-12.
Resumo

We consider a stochastic system of spiking neurons which was previously proven to present a metastable behavior for a suitable choice of the parameter, in the sense that the time of extinction is asymptotically memory-less when the number of components in the system goes to infinity. In the present article we complete this work by showing that, previous to extinction, the system tends to stabilize in the sense that temporal means taken on an appropriate time scale converge in probability to some fixed value. This property is sometime called thermalization. (c) 2022 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 13/07699-0 - Centro de Pesquisa, Inovação e Difusão em Neuromatemática - NeuroMat
Beneficiário:Oswaldo Baffa Filho
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
Processo FAPESP: 20/12708-1 - Metaestabilidade de sistemas de neurônios disparando. (Na linha "Representations of neuronal interaction statistics" de projetos de pós-doutoramento do CEPID NeuroMat, já aprovados pela FAPESP)
Beneficiário:Morgan Florian Thibault André
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado