| Автор | Carlo Fulvi Mari |
| Дата выпуска | 2000-01-14 |
| dc.description | A class of families of marginal probabilities on sets of discrete random variables is studied and a necessary and sufficient condition for the consistency of the given marginals is provided. This result allows one to verify the consistency of the marginals through a Boltzmann statistical analysis. The procedure is then applied in order to verify the hypotheses assumed in a recent model of neocortical associative areas, according to which connected modules of neurons are simultaneously active with probability higher than chance, and inter-modular connections are very diluted. The verification becomes a typical problem of extremely diluted spin systems in Boltzmann-Gibbs ensemble. The results presented here justify the assumptions made in the neuroscientific theory, and an upper bound to the inter-modular activity correlation is found. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Random fields and probability distributions with given marginals on randomly correlated systems: a general method and a problem from theoretical neuroscience |
| Тип | paper |
| DOI | 10.1088/0305-4470/33/1/302 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 33 |
| Первая страница | 23 |
| Последняя страница | 38 |
| Аффилиация | Carlo Fulvi Mari; SISSA Programme in Neuroscience, International School for Advanced Studies, Trieste, Italy |
| Выпуск | 1 |
