50 citations · 162 across the 31 of their papers we have counts for
40 papers
Tail behavior of Markov-modulated generalized Ornstein-Uhlenbeck processes
Gerold Alsmeyer, Anita Behme
We study the tail behavior of Markov-modulated generalized Ornstein-Uhlenbeck processes -- that is, solutions to Langevin-type stochastic differential equations driven by a backgro…
Power-fractional distributions and branching processes
Gerold Alsmeyer, Viet Hung Hoang
In branching process theory, linear-fractional distributions are commonly used to model individual reproduction, especially when the goal is to obtain more explicit formulas than t…
Explosion of Crump-Mode-Jagers processes with critical immediate offspring
Gerold Alsmeyer, Konrad Kolesko, Matthias Meiners +1
We study the phenomenon of explosion in general (Crump-Mode-Jagers) branching processes, which refers to the event where an infinite number of individuals are born in finite time.…
A two-size Wright--Fisher model: asymptotic analysis via uniform renewal theory
Gerold Alsmeyer, Fernando Cordero, Hannah Dopmeyer
We consider a population with two types of individuals, distinguished by the resources required for reproduction: type- (small) individuals need a fractional resource unit of si…
The Derrida-Retaux model on a geometric Galton-Watson tree
Gerold Alsmeyer, Yueyun Hu, Bastien Mallein
We consider a generalized Derrida-Retaux model on a Galton-Watson tree with a geometric offspring distribution. For a class of recursive systems, including the Derrida-Retaux model…
On decoupled standard random walks
Gerold Alsmeyer, Alexander Iksanov, Zakhar Kabluchko
Let , , be a standard random walk with i.i.d. nonnegative increments and associated renewal counting process $N(t)=\…