| Texto completo | |
| Autor(es): |
Tzioufas, Achillefs
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Statistical Physics; v. 171, n. 5, p. 802-821, JUN 2018. |
| Citações Web of Science: | 0 |
| Resumo | |
We consider the cardinality of supercritical oriented bond percolation in two dimensions. We show that, whenever the the origin is conditioned to percolate, the process appropriately normalized converges asymptotically in distribution to the standard normal law. This resolves a longstanding open problem pointed out to in several instances in the literature. The result applies also to the continuous-time analog of the process, viz. the basic one-dimensional contact process. We also derive general random-indices central limit theorems for associated random variables as byproducts of our proof. (AU) | |
| Processo FAPESP: | 16/03988-5 - Modelos estocásticos para redes neurais |
| Beneficiário: | Achillefs Tzioufas |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |