Sesqui-type branching processes

Svante Janson, Oliver Riordan and Lutz Warnke

Stochastic Processes and their Applications, 2018, vol. 128, issue 11, 3628-3655

Abstract: 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.

Keywords: Sesqui-type branching processes; Survival probability; Point probability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2017.12.007

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