| Full text | |
| Author(s): |
Tzioufas, Achillefs
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 171, n. 5, p. 802-821, JUN 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 16/03988-5 - Stochastic models for neural networks |
| Grantee: | Achillefs Tzioufas |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |