10 citations · 23 across the 10 of their papers we have counts for
11 papers
Renewal theory for iterated perturbed random walks on a general branching process tree: early generations
Alexander Iksanov, Bohdan Rashytov, Igor Samoilenko
Let be independent identically distributed random vectors with arbitrarily dependent positive components. We call a (globally) perturbed random walk a…
Limit theorems for discounted convergent perpetuities
Alexander Iksanov, Anatolii Nikitin, Igor Samoilenko
Let , be independent identically distributed -valued random vectors. We prove a strong law of large numbers, a functional central limi…
Functional limit theorems for the maxima of perturbed random walks and divergent perpetuities in the -topology
Alexander Iksanov, Andrey Pilipenko, Igor Samoilenko
Let , be a sequence of i.i.d. two-dimensional random vectors. In the earlier article Iksanov and Pilipenko (2014) weak convergence in the -topolo…
Weak convergence of Markovian random evolution in a multidimensional space
Igor V. Samoilenko
We study Markovian symmetry and non-symmetry random evolutions in . Weak convergence of Markovian symmetry random evolution to Wiener process and of Markovian non-sym…
Large deviations for random evolutions with independent increments in the scheme of Lévy approximation
Igor V. Samoilenko
In the work asymptotic analysis of the problem of large deviations for random evolutions with independent increments in the circuit of Lévy approximation is carried out. Large devi…
The conflict triad dynamical system
Volodymyr Koshmanenko, Igor Samoilenko
A dynamical model of the natural conflict triad is investigated. The conflict interacting substances of the triad are: some biological population, a living resource, and a negative…