10 citations · 23 across the 10 of their papers we have counts for
5 papers · 2 filters
The conflict interaction between two complex systems. Cyclic migration
S. Albeverio, V. Koshmanenko, I. Samoilenko
We construct and study a discrete time model describing the conflict interaction between two complex systems with non-trivial internal structures. The external conflict interaction…
Levy Approximation of Impulsive Recurrent Process with Markov Switching
V. S. Koroliuk, N. Limnios, I. V. Samoilenko
In this paper, the weak convergence of impulsive recurrent process with Markov switching in the scheme of Levy approximation is proved. For the relative compactness, a method propo…
Asymptotic expansion of semi-Markov random evolutions
S. Albeverio, V. S. Koroliuk, I. V. Samoilenko
Regular and singular parts of asymptotic expansions of semi-Markov random evolutions are given. Regularity of boundary conditions is shown. An algorithm for calculation of initial…
Levy Approximation of Impulsive Recurrent Process with Semi-Markov Switching
V. S. Koroliuk, N. Limnios, I. V. Samoilenko
In this paper, the weak convergence of impulsive recurrent process with semi-Markov switching in the scheme of Levy approximation is proved. Singular perturbation problem for the c…
Poisson Approximation of Processes with Locally Independent Increments with Markov Switching
V. S. Koroliuk, N. Limnios, I. V. Samoilenko
In this paper, the weak convergence of additive functionals of processes with locally independent increments and with Markov switching in the scheme of Poisson approximation is pro…