| Full text | |
| Author(s): |
Andre, Morgan
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Stochastic Processes and their Applications; v. 157, p. 27-pg., 2022-12-12. |
| Abstract | |
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) | |
| FAPESP's process: | 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat |
| Grantee: | Oswaldo Baffa Filho |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 20/12708-1 - Metastable behavior of systems of spiking neurons. |
| Grantee: | Morgan Florian Thibault André |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |