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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.)

Rumor Processes on and Discrete Renewal Processes

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Gallo, Sandro [1] ; Garcia, Nancy L. [2] ; Vargas Junior, Valdivino [3] ; Rodriguez, Pablo M. [4]
Total Authors: 4
[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Metodos Estat, Rio de Janeiro - Brazil
[2] Univ Fed Rio de Janeiro, Inst Matemat Estat & Computacao Cientif, Dept Metodos Estat, Rio de Janeiro - Brazil
[3] Univ Fed Goias, Inst Matemat & Estat, Goiania - Brazil
[4] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Dept Matemat Appl & Estat, Sao Carlos - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Journal of Statistical Physics; v. 155, n. 3, p. 591-602, MAY 2014.
Web of Science Citations: 5

We study two rumor processes on , the dynamics of which are related to an SI epidemic model with long range transmission. Both models start with one spreader at site and ignorants at all the other sites of , but differ by the transmission mechanism. In one model, the spreaders transmit the information within a random distance on their right, and in the other the ignorants take the information from a spreader within a random distance on their left. We obtain the probability of survival, information on the distribution of the range of the rumor and limit theorems for the proportion of spreaders. The key step of our proofs is to show that, in each model, the position of the spreaders on can be related to a suitably chosen discrete renewal process. (AU)

FAPESP's process: 13/03898-8 - Stochastic modeling of information difusion on interacting systems
Grantee:Pablo Martin Rodriguez
Support type: Regular Research Grants