Random Walks Systems with Finite Lifetime on Z

Autor(es)

Lebensztayn, Elcio ^[1] ; Machado, Fabio Prates ^[2] ; Martinez, Mauricio Zuluaga ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Math Stat & Comp Sci, Campinas, SP - Brazil

^[2] Univ Sao Paulo, Inst Math & Stat, BR-09500900 Sao Paulo - Brazil

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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 162, n. 3, p. 727-738, FEB 2016.
• Citações Web of Science: 1

Resumo

We consider a non-homogeneous random walks system on Z in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters up to a total amount of L jumps. We present necessary and sufficient conditions for the process to survive, which means that an infinite number of random walks become activated. (AU)

• Processo FAPESP: 12/22673-4 - Modelos estocásticos para a propagação de rumores e epidemias
• Beneficiário: Elcio Lebensztayn
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 09/52379-8 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Auxílio à Pesquisa - Temático