50 citations · 162 across the 31 of their papers we have counts for
6 papers · 1 filter
A leader-election procedure using records
Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych
The study of the number of collisions in a Poisson-Dirichlet coalescent leads to the analysis of the following version of a stochastic leader-elec\-tion algorithm. Consider an infi…
Ladder epochs and ladder chain of a Markov random walk with discrete driving chain
Gerold Alsmeyer
Let be a Markov random walk with positive recurrent driving chain having countable state space and stationary distribution…
Thin tails of fixed points of the nonhomogeneous smoothing transform
Gerold Alsmeyer, Piotr Dyszewski
For a given random sequence with nonzero and a.s. finite number of nonzero , the nonhomogeneous smoothing transform maps the law o…
Renewal approximation for the absorption time of a decreasing Markov chain
Gerold Alsmeyer, Alexander Marynych
We consider a Markov chain on the set of nonnegative integers which is eventually decreasing, i.e. fo…
Branching within branching II: Limit theorems
Gerold Alsmeyer, Sören Gröttrup
This continues work started in part I on a general branching-within-branching model for host-parasite co-evolution. Here we focus on asymptotic results for relevant processes in th…
Branching within branching I: The extinction problem
Gerold Alsmeyer, Sören Gröttrup
We consider a discrete-time host-parasite model for a population of cells which are colonized by proliferating parasites. The cell population grows like an ordinary Galton-Watson p…