On the Speed of Coming Down from Infinity for $\Xi$-Coalescent Processes
نویسندگان
چکیده
منابع مشابه
On the speed of coming down from infinity for Ξ-coalescent processes
The Ξ-coalescent processes were initially studied by Möhle and Sagitov (2001), and introduced by Schweinsberg (2000) in their full generality. They arise in the mathematical population genetics as the complete class of scaling limits for genealogies of Cannings’ models. The Ξ-coalescents generalize Λ-coalescents, where now simultaneous multiple collisions of blocks are possible. The standard ve...
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15 صفحه اولHow do birth and death processes come down from infinity?
We finely describe the "coming down from infinity" for birth and death processes which eventually become extinct. Our biological motivation is to study the decrease of regulated populations which are initially large. Under general assumptions on the birth and death rates, we describe the behavior of the hitting time of large integers. We let two regimes appear and derive an expression of the sp...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2010
ISSN: 1083-6489
DOI: 10.1214/ejp.v15-742