Minimal Position of Branching Random Walks in Random Environment

Makoto Nakashima ()
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Makoto Nakashima: Kyoto University

Journal of Theoretical Probability, 2013, vol. 26, issue 4, 1181-1217

Abstract: Abstract We consider branching random walks in random environment (BRWRE) on ℕ with only one particle starting at the origin. Particles reproduce according to offspring distribution (which depends on its locations) and move one step to the right (with a probability in (0,1] which may depend on the location) or stay in the same site. We give an estimate to the minimal displacement of BRWRE at time n in the case where the essential supremum of mean number of offsprings which stay in the same place is equal to 1.

Keywords: Branching random walks; Random environment; Minimal position; 60J80; 60K37 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10959-012-0410-y

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