| Full text | |
| Author(s): |
Papageorgiou, Ioannis
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 178, n. 6 FEB 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the modified log-Sobolev inequality for a class of pure jump Markov processes that describe the interactions between brain neurons. As a result, we obtain concentration properties for empirical approximations of the process. In particular, we focus on a finite and compact process with degenerate jumps inspired by the model introduced by Galves and Locherbach (J Stat Phys 151:896-921, 2013). (AU) | |
| FAPESP's process: | 17/15587-8 - Stochastic dynamics of neural networks |
| Grantee: | Ioannis Papageorgiou |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| 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 |