16 citations · 19 across the 4 of their papers we have counts for
4 papers · 1 filter
A Wright-Fisher graph model and the impact of directional selection on genetic variation
Ingemar Kaj, Carina F. Mugal, Rebekka Müller
We introduce a multi-allele Wright-Fisher model with non-recurrent, reversible mutation and directional selection. In this setting, the allele frequencies at a single locus track t…
Gaussian processes, bridges and membranes extracted from selfsimilar random fields
Maik Görgens, Ingemar Kaj
We consider the class of selfsimilar Gaussian generalized random fields introduced by Dobrushin in 1979. These fields are indexed by Schwartz functions on and parame…
Scaling limit results for the sum of many inverse Lévy subordinators
Ingemar Kaj, Anders Martin-Löf
The first passage time process of a Lévy subordinator with heavy-tailed Lévy measure has long-range dependent paths. The random fluctuations that appear under two natural schemes o…
The on-off network traffic model under intermediate scaling
Clément Dombry, Ingemar Kaj
The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed commun…