The cone percolation on T-d

Autor(es)

Junior, Valdivino V. ^[1] ; Machado, Fablo P. ^[2] ; Zuluaga, Mauricio ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Goias, BR-74001970 Goiania, Go - Brazil

^[2] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo - Brazil

^[3] Univ Fed Rural Semi Arido, BR-59625900 Mossoro, RN - Brazil

• Tipo de documento: Artigo Científico
• Fonte: BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 28, n. 3, p. 367-375, AUG 2014.
• Citações Web of Science: 2

Resumo

We study a rumor model from a percolation theory and a branching process point of view. The existence of a giant component is related to the event where a rumor spreads out trough an infinite number of individuals. We present sharp lower and upper bounds for the probability of that event, according to the distribution of the random variables defining the radius of influence of each individual. (AU)

• Processo FAPESP: 09/18253-7 - Modelagem estocástica de população biológica
• Beneficiário: Fabio Prates Machado
• Linha de fomento: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 10/50884-4 - Modelos epidêmicos e de rumor
• Beneficiário: Mauricio Zuluaga Martinez
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado