Approximations of Positive Contractions on Loo. II.
Asymptotic evolution of acyclic random mappings.
Asymptotic laws for nonconservative self-similar fragmentations.
Asymptotic sampling formulae for -coalescents
We present a robust method which translates information on the speed of coming down from infinity of a genealogical tree into sampling formulae for the underlying population. We apply these results to population dynamics where the genealogy is given by a -coalescent. This allows us to derive an exact formula for the asymptotic behavior of the site and allele frequency spectrum and the number of segregating sites, as the sample size tends to . Some of our results hold in the case of a general -coalescent...
Asymptotic stability, ergodicity and other asymptotic properties of the nonlinear filter
Avoiding-probabilities for Brownian snakes and super-Browian motion.