Edit Profile (opens in new tab) Samoilenko, Igor V. Co-Author Distance Author ID: samoilenko.igor-v Published as: Samoilenko, I. V.; Samojlenko, I. V.; Samoilenko, Igor V.; Samoĭlenko, I. V.; Samoilenko, Igor; Samoilenko, I. more...less External Links: ORCID Documents Indexed: 52 Publications since 2000, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 25 Co-Authors with 35 Joint Publications 1,072 Co-Co-Authors all top 5 Co-Authors 17 single-authored 12 Korolyuk, Volodymyr Semenovych 8 Nikitin, Anatolii V. 6 Limnios, Nikolaos 4 Iksanov, Aleksander M. 4 Koshmanenko, Volodymyr Dmytrovych 2 Albeverio, Sergio A. 2 Chabanyuk, Yaroslav M. 2 Marynych, Alexander V. 2 Turbin, Anatoly F. 1 Bodnarchuk, Maksym V. 1 Bohdanskyi, Victor 1 Bohun, Vladyslav 1 Dovgaĭ, Bogdan V. 1 Dovhai, B. V. 1 Gusak, Dmytro V. 1 Himka, Uliana T. 1 Koroliouk, Dmitri Vladimirovich 1 Kovalenko, Igor Mykolaĭovych 1 Malyk, Igor V. 1 Pilipenko, Andrey Yu. 1 Rashytov, Bohdan 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Samoilenko, T. A. 1 Skorokhod, Anatoliĭ Volodymyrovych 1 Ver’ovkina, Ganna V. all top 5 Serials 6 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Theory of Probability and Mathematical Statistics 5 Cybernetics and Systems Analysis 3 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 2 Ukrainian Mathematical Journal 2 Random Operators and Stochastic Equations 2 Theory of Stochastic Processes 2 Stochastics 2 Nonlinear Oscillations 1 Journal of Applied Probability 1 Stochastic Analysis and Applications 1 Journal of Applied Mathematics and Stochastic Analysis 1 Journal of Mathematical Sciences (New York) 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Electronic Journal of Probability 1 Journal of Interdisciplinary Mathematics 1 Extremes 1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Communications in Nonlinear Science and Numerical Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Nonlinear Oscillations 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 ISRN Probability and Statistics 1 Modern Stochastics. Theory and Applications 1 Mathematics and Statistics Series all top 5 Fields 45 Probability theory and stochastic processes (60-XX) 4 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 102 times in 63 Documents Cited by ▼ Year ▼ The conflict interaction between two complex systems: cyclic migration. Zbl 1144.92039 Albeverio, S.; Koshmanenko, V.; Samoilenko, I. 11 2008 Markovian random evolution in \(R^{n}\). Zbl 0976.60074 Samoilenko, I. V. 9 2001 Lévy and Poisson approximations of switched stochastic systems by a semimartingale approach. (Approximations de Lévy et de Poisson des systèmes stochastiques modulés, via une approche basée sur les semi-martingales.) Zbl 1339.60028 Koroliuk, Volodymyr S.; Limnios, Nikolaos; Samoilenko, Igor V. 8 2016 Model of a dynamical system of a conflict triad. Zbl 1336.92092 Koshmanenko, V. D.; Samoilenko, I. V. 6 2011 Asymptotic expansion for the functional of Markovian evolution in \(\mathbb{R}^{d}\) in the circuit of diffusion approximation. Zbl 1109.60089 Samoilenko, I. V. 5 2005 Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the \(M_1\)-topology. Zbl 1379.60037 Iksanov, Alexander; Pilipenko, Andrey; Samoilenko, Igor 5 2017 Differential equations with small stochastic additions under Poisson approximation conditions. Zbl 1372.60112 Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V.; Himka, Uliana T. 5 2017 Differential equations with small stochastic terms under the Lévy approximating conditions. Zbl 1412.60085 Samoilenko, I. V.; Nikitin, A. V. 5 2018 Asymptotic expansion of semi-Markov random evolutions. Zbl 1179.60058 Albeverio, S.; Koroliuk, V. S.; Samoilenko, I. V. 4 2009 The conflict triad dynamical system. Zbl 1221.91039 Koshmanenko, Volodymyr; Samoilenko, Igor 4 2011 Dynamics of conflict interaction between systems with internal structure. Zbl 1262.37037 Bodnarchuk, M. V.; Koshmanenko, V. D.; Samoilenko, I. V. 4 2006 Poisson approximation of impulsive recurrent process with semi-Markov switching. Zbl 1236.60086 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2011 Poisson approximation of processes with locally independent increments with Markov switching. Zbl 1224.60195 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2009 Asymptotic expansion of a semi-Markov random evolution. Zbl 1116.60052 Samojlenko, I. V. 3 2006 Large deviations for random evolutions with independent increments in the scheme of the Poisson approximation. Zbl 1277.60124 Samoĭlenko, I. V. 3 2012 Large deviations for random evolutions with independent increments in the scheme of Lévy approximation with split and double merging. Zbl 1321.60052 Samoilenko, Igor V. 3 2015 Convergence of an impulsive storage process with jump switchings. Zbl 1240.60260 Samojlenko, I. V. 2 2008 Potential operator of the Ornstein-Uhlenbeck process with applications. Zbl 1289.60061 Korolyuk, V. S.; Samojlenko, I. V. 2 2013 A probability method for the solution of the telegraph equation with real-analytical initial conditions. Zbl 0967.35082 Turbin, A. F.; Samojlenko, I. V. 2 2000 Large deviations for impulsive processes in the scheme of Poisson approximation. Zbl 1276.60080 Samoilenko, I. V. 2 2013 Asymptotic dissipativity of random processes with impulse perturbation in the Poisson approximation scheme. Zbl 1393.93117 Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V. 2 2018 Asymptotic expansion of Markov random evolution. Zbl 1160.34338 Samoilenko, Igor V. 1 2006 Lévy approximation of impulsive recurrent process with semi-Markov switching. Zbl 1249.60171 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 1 2010 Poisson approximation of processes with locally independent increments and Markov switching. Zbl 1329.60077 Limnios, N.; Samoilenko, I. V. 1 2014 Large deviations for random evolutions with independent increments in a scheme of the Lévy approximation. Zbl 1330.60050 Samoilenko, Igor V. 1 2015 Large deviations for impulsive processes in the scheme of the Lévy approximation. Zbl 1329.60057 Samoĭlenko, I. V. 1 2014 Asymptotic expansion of a functional constructed from a semi-Markov random evolution in the scheme of diffusion approximation. Zbl 1402.60096 Koroliouk, V. S.; Samoĭlenko, I. V. 1 2018 Limit theorems for discounted convergent perpetuities. Zbl 1483.60049 Iksanov, Alexander; Nikitin, Anatolii; Samoilenko, Igor 1 2021 On intermediate levels of a nested occupancy scheme in a random environment generated by stick-breaking. II. Zbl 1503.60027 Iksanov, Alexander; Marynych, Alexander; Samoilenko, Igor 1 2022 Double merging of the phase space for stochastic differential equations with small additions in Poisson approximation conditions. Zbl 1426.60081 Samoilenko, I. V.; Nikitin, A. V. 1 2019 On intermediate levels of a nested occupancy scheme in a random environment generated by stick-breaking. II. Zbl 1503.60027 Iksanov, Alexander; Marynych, Alexander; Samoilenko, Igor 1 2022 Limit theorems for discounted convergent perpetuities. Zbl 1483.60049 Iksanov, Alexander; Nikitin, Anatolii; Samoilenko, Igor 1 2021 Double merging of the phase space for stochastic differential equations with small additions in Poisson approximation conditions. Zbl 1426.60081 Samoilenko, I. V.; Nikitin, A. V. 1 2019 Differential equations with small stochastic terms under the Lévy approximating conditions. Zbl 1412.60085 Samoilenko, I. V.; Nikitin, A. V. 5 2018 Asymptotic dissipativity of random processes with impulse perturbation in the Poisson approximation scheme. Zbl 1393.93117 Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V. 2 2018 Asymptotic expansion of a functional constructed from a semi-Markov random evolution in the scheme of diffusion approximation. Zbl 1402.60096 Koroliouk, V. S.; Samoĭlenko, I. V. 1 2018 Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the \(M_1\)-topology. Zbl 1379.60037 Iksanov, Alexander; Pilipenko, Andrey; Samoilenko, Igor 5 2017 Differential equations with small stochastic additions under Poisson approximation conditions. Zbl 1372.60112 Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V.; Himka, Uliana T. 5 2017 Lévy and Poisson approximations of switched stochastic systems by a semimartingale approach. (Approximations de Lévy et de Poisson des systèmes stochastiques modulés, via une approche basée sur les semi-martingales.) Zbl 1339.60028 Koroliuk, Volodymyr S.; Limnios, Nikolaos; Samoilenko, Igor V. 8 2016 Large deviations for random evolutions with independent increments in the scheme of Lévy approximation with split and double merging. Zbl 1321.60052 Samoilenko, Igor V. 3 2015 Large deviations for random evolutions with independent increments in a scheme of the Lévy approximation. Zbl 1330.60050 Samoilenko, Igor V. 1 2015 Poisson approximation of processes with locally independent increments and Markov switching. Zbl 1329.60077 Limnios, N.; Samoilenko, I. V. 1 2014 Large deviations for impulsive processes in the scheme of the Lévy approximation. Zbl 1329.60057 Samoĭlenko, I. V. 1 2014 Potential operator of the Ornstein-Uhlenbeck process with applications. Zbl 1289.60061 Korolyuk, V. S.; Samojlenko, I. V. 2 2013 Large deviations for impulsive processes in the scheme of Poisson approximation. Zbl 1276.60080 Samoilenko, I. V. 2 2013 Large deviations for random evolutions with independent increments in the scheme of the Poisson approximation. Zbl 1277.60124 Samoĭlenko, I. V. 3 2012 Model of a dynamical system of a conflict triad. Zbl 1336.92092 Koshmanenko, V. D.; Samoilenko, I. V. 6 2011 The conflict triad dynamical system. Zbl 1221.91039 Koshmanenko, Volodymyr; Samoilenko, Igor 4 2011 Poisson approximation of impulsive recurrent process with semi-Markov switching. Zbl 1236.60086 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2011 Lévy approximation of impulsive recurrent process with semi-Markov switching. Zbl 1249.60171 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 1 2010 Asymptotic expansion of semi-Markov random evolutions. Zbl 1179.60058 Albeverio, S.; Koroliuk, V. S.; Samoilenko, I. V. 4 2009 Poisson approximation of processes with locally independent increments with Markov switching. Zbl 1224.60195 Koroliuk, V. S.; Limnios, N.; Samoilenko, I. V. 4 2009 The conflict interaction between two complex systems: cyclic migration. Zbl 1144.92039 Albeverio, S.; Koshmanenko, V.; Samoilenko, I. 11 2008 Convergence of an impulsive storage process with jump switchings. Zbl 1240.60260 Samojlenko, I. V. 2 2008 Dynamics of conflict interaction between systems with internal structure. Zbl 1262.37037 Bodnarchuk, M. V.; Koshmanenko, V. D.; Samoilenko, I. V. 4 2006 Asymptotic expansion of a semi-Markov random evolution. Zbl 1116.60052 Samojlenko, I. V. 3 2006 Asymptotic expansion of Markov random evolution. Zbl 1160.34338 Samoilenko, Igor V. 1 2006 Asymptotic expansion for the functional of Markovian evolution in \(\mathbb{R}^{d}\) in the circuit of diffusion approximation. Zbl 1109.60089 Samoilenko, I. V. 5 2005 Markovian random evolution in \(R^{n}\). Zbl 0976.60074 Samoilenko, I. V. 9 2001 A probability method for the solution of the telegraph equation with real-analytical initial conditions. Zbl 0967.35082 Turbin, A. F.; Samojlenko, I. V. 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 50 Authors 20 Samoilenko, Igor V. 10 Koshmanenko, Volodymyr Dmytrovych 10 Nikitin, Anatolii V. 6 Chabanyuk, Yaroslav M. 6 Orsingher, Enzo 5 Iksanov, Aleksander M. 5 Karataeva, T. V. 5 Korolyuk, Volodymyr Semenovych 4 Marynych, Alexander V. 3 Khimka, U. T. 3 Pogorui, Anatoliy A. 2 Bohun, Vladyslav 2 Cinque, Fabrizio 2 De Gregorio, Alessandro 2 Kolesnik, Alexander D. 2 Lebedev, Eugene O. 2 Leorato, Samantha 2 Limnios, Nikolaos 2 Petrenko, S. M. 2 Rashytov, Bohdan 2 Rodríguez-Dagnino, Ramón Martín 2 Satur, O. R. 2 Yarova, O. A. 1 Albeverio, Sergio A. 1 Alsmeyer, Gerold 1 Beghin, Luisa 1 Blanke, Delphine 1 Bohdanskyi, Victor 1 Bosq, Denis 1 Buraczewski, Dariusz 1 Damek, Ewa 1 Dovgyĭ, S. O. 1 Dovhai, B. V. 1 Himka, Uliana T. 1 Kharchenko, N. V. 1 Kołodziejek, Bartosz 1 Koroliouk, Dmitri Vladimirovich 1 Lachal, Aimé 1 Li, Zhaoyan 1 Liu, Jiamin 1 Livinska, Hanna 1 Mallein, Bastien 1 Rosa, Wojciech 1 Scavino, Marco 1 Silvestrov, Dmitrii 1 Silvestrov, Sergei D. 1 Ver’ovkina, Ganna V. 1 Yeleyko, Yaroslav I. 1 Yurikov, O. I. 1 Zozyuk, M. O. all top 5 Cited in 27 Serials 9 Cybernetics and Systems Analysis 8 Theory of Probability and Mathematical Statistics 8 Journal of Mathematical Sciences (New York) 6 Ukrainian Mathematical Journal 2 Advances in Applied Probability 2 Journal of Applied Probability 2 Stochastic Processes and their Applications 2 Random Operators and Stochastic Equations 2 Matematychni Studiï 2 Stochastics and Dynamics 2 Stochastics 1 International Journal of Control 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Journal of Theoretical Probability 1 Applicationes Mathematicae 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Communications in Nonlinear Science and Numerical Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Nonlinear Oscillations 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 ISRN Probability and Statistics 1 Modern Stochastics. Theory and Applications all top 5 Cited in 20 Fields 48 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Partial differential equations (35-XX) 5 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year