| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [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
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES; v. 80, n. 5, p. 451-457, 2008. |
| Web of Science Citations: | 3 |
| Abstract | |
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) | |
| FAPESP's process: | 05/04001-5 - Models of random walks on graphs |
| Grantee: | Elcio Lebensztayn |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |