Random walks systems with killing on Z

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo - Brazil

^[2] Univ Fed Pernambuco, Dept Stat, BR-50740540 Recife, PE - Brazil

• Tipo de documento: Artigo Científico
• Fonte: STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES; v. 80, n. 5, p. 451-457, 2008.
• Citações Web of Science: 3

Resumo

We study random walks systems on Z whose general description follows. At time zero, there is a number N >= 1 of particles at each vertex of N, all being inactive, except for those placed at the vertex one. Each active particle performs a simple random walk on Z and, up to the time it dies, it activates all inactive particles that it meets along its way. An active particle dies at the instant it reaches a certain fixed total of jumps (L >= 1) without activating any particle, so that its lifetime depends strongly on the past of the process. We investigate how the probability of survival of the process depends on L and on the jumping probabilities of the active particles. (AU)

• Processo FAPESP: 05/04001-5 - Modelos de passeios aleatórios em grafos
• Beneficiário: Elcio Lebensztayn
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 02/07705-5 - Sobre um modelo para epidemias em grafos finitos e infinitos
• Beneficiário: Mauricio Zuluaga Martinez
• Modalidade de apoio: Bolsas no Brasil - Doutorado