24 citations · 99 across the 51 of their papers we have counts for
5 papers · 2 filters
Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations
Vladyslav Bohun, Alexander Iksanov, Alexander Marynych +1
Let be independent identically distributed random vectors with arbitrarily dependent positive components. We call a (globally) perturbed random walk a…
On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking II
Alexander Iksanov, Alexander Marynych, Igor Samoilenko
A nested occupancy scheme in random environment is a generalization of the classical Karlin infinite balls-in-boxes occupancy scheme in random environment (with random probabilitie…
Moderate parts in regenerative compositions: the case of regular variation
Dariusz Buraczewski, Bohdan Dovgay, Alexander Marynych
A regenerative random composition of integer is constructed by allocating standard exponential points over a countable number of intervals, comprising the complement of the…
A Brownian weak limit for the least common multiple of a random m-tuple of integers
Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych
Let be a set picked uniformly at random among all -elements subsets of . We provide a pathwise construction of the collection $(B_n(m))_{1\leq m\leq n…
The laws of iterated and triple logarithms for extreme values of regenerative processes
Alexander Marynych, Ivan Matsak
We analyze almost sure asymptotic behavior of extreme values of a regenerative process. We show that under certain conditions a properly centered and normalized running maximum of…