| Texto completo | |
| Autor(es): |
Andre, Morgan
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Statistical Physics; v. 177, n. 5, p. 984-1008, DEC 2019. |
| Citações Web of Science: | 0 |
| Resumo | |
In 2018, Ferrari et al. wrote a paper called ``Phase Transition for Infinite Systems of Spiking Neurons{''} in which they introduced a continuous time stochastic model of interacting neurons. This model consists in a countable number of neurons, each of them having an integer-valued membrane potential, which value determine the rate at which the neuron spikes. This model has also a parameter gamma, corresponding to the rate of the leak times of the neurons, that is, the times at which the membrane potential of a given neuron is spontaneously reset to its resting value (which is 0 by convention). As its title says, it was proven in this previous article that this model presents a phase transition phenomenon with respect to gamma. Here we prove that this model also exhibits a metastable behavior. By this we mean that if gamma is small enough, then the re-normalized time of extinction of a finite version of this system converges toward an exponential random variable of mean 1 as the number of neurons goes to infinity. (AU) | |
| Processo FAPESP: | 17/02035-7 - Inferência de grafos de interação da atividade neural |
| Beneficiário: | Morgan Florian Thibault André |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |