Journal title
Stochastic Processes and their Applications
DOI
10.1016/j.spa.2017.12.007
Issue
11
Volume
128
Last updated
2024-04-27T19:59:52.27+01:00
Page
3628-3655
Abstract
© 2018 Elsevier B.V. We consider branching processes consisting of particles (individuals) of two types (type L and type S) in which only particles of type L have offspring, proving estimates for the survival probability and the (tail of) the distribution of the total number of particles. Such processes are in some sense closer to single- than to multi-type branching processes. Nonetheless, the second, barren, type complicates the analysis significantly. The results proved here (about point and survival probabilities) are a key ingredient in the analysis of bounded-size Achlioptas processes in a recent paper by the last two authors.
Symplectic ID
828991
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Publication type
Journal Article
Publication date
01 Nov 2018