| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Fed Sao Carlos, Dept Estat, Sao Carlos, SP - Brazil
[2] Univ Estadual Campinas, Campinas, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 173, n. 2, p. 381-397, OCT 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
Consider the following coverage model on N, for each site i is an element of N associate a pair (xi(i), R-i) where (xi(i))(i >= 0) is a 1-dimensional undelayed discrete renewal point process and (R-i)(i >= 0) is an i.i.d. sequence of N-valued random variables. At each site where xi(i) = 1 start an interval of length R-i. Coverage occurs if every site of N is covered by some interval. We obtain sharp conditions for both, positive and null probability of coverage. As corollaries, we extend results of the literature of rumor processes and discrete one-dimensional Boolean percolation. (AU) | |
| FAPESP's process: | 14/26419-0 - Analysis of spatio-temporal aggregated data |
| Grantee: | Nancy Lopes Garcia |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 17/07084-6 - Poincaré recurrence statistics and extreme value theory |
| Grantee: | Alexsandro Giacomo Grimbert Gallo |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 15/09094-3 - Stochastic chains with long memory |
| Grantee: | Alexsandro Giacomo Grimbert Gallo |
| Support Opportunities: | Regular Research Grants |
| 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 |