One-dimensional branching random walks in a Markovian random environment

Authors
Machado, FP Popov, SY
Citation
Fp. Machado et Sy. Popov, One-dimensional branching random walks in a Markovian random environment, J APPL PROB, 37(4), 2000, pp. 1157-1163
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPLIED PROBABILITY
ISSN journal
00219002 → ACNP
Volume
37
Issue
4
Year of publication
2000
Pages
1157 - 1163
Database
ISI
SICI code
0021-9002(200012)37:4<1157:OBRWIA>2.0.ZU;2-#
Abstract
We study a one-dimensional supercritical branching random walk in a non-i.i .d. random environment, which considers both the branching mechanism and th e step transition. This random environment is constructed using a recurrent Markov chain on a finite or countable state space. Criteria of (strong) re currence and transience are presented for this model.