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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Discrete One-Dimensional Coverage Process on a Renewal Process

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Gallo, Sandro [1] ; Garcia, Nancy L. [2]
Total Authors: 2
[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

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