Edit Profile (opens in new tab) Turbin, Anatoly F. Co-Author Distance Author ID: turbin.anatoly-f Published as: Turbin, A. F.; Turbin, Anatoly F. External Links: MGP Documents Indexed: 68 Publications since 1970, including 8 Books 1 Further Contribution Co-Authors: 24 Co-Authors with 57 Joint Publications 603 Co-Co-Authors all top 5 Co-Authors 12 single-authored 23 Korolyuk, Volodymyr Semenovych 7 Plotkin, Ya. D. 4 Khanin, A. G. 4 Novikov, M. M. 4 Skorokhod, Anatoliĭ Volodymyrovych 3 Gusak, Dmytro V. 3 Kolesnik, Alexander D. 3 Penev, I. P. 3 Polishchuk, Leonid I. 3 Tomusyak, A. A. 2 Brodi, S. M. 2 Dobrovol’skij, V. V. 2 Korlat, A. N. 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Portenko, Mykola Ivanovych 2 Pratsiovytyi, Mykola 2 Samoilenko, Igor V. 1 Borovskikh, Yuri V. 1 Bratijchuk, N. S. 1 Cherenkov, A. P. 1 Demenin, A. N. 1 Diesperova, M. M. 1 Dukhovny, Alexander M. 1 Gasanenko, Vitalii Alekseevich 1 Grikh, Z. A. 1 Khokhel’, O. S. 1 Levinskij, B. G. 1 Marushin, M. N. 1 Melyaeva, O. 1 Pogorui, Anatoliy A. 1 Solopko, I. O. 1 Swishchuk, Anatoliy 1 Trufanov, V. A. 1 Tsaturyan, G. Zh. 1 Tureniyazova, A. I. 1 Velikii, A. P. 1 Yatsishin, Yu. V. 1 Zaigraev, Alexander 1 Zayats, Volodymyr V. 1 Zbyrko, M. D. 1 Zhdanova, Yu. D. all top 5 Serials 8 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Ukrainian Mathematical Journal 2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 2 Kibernetika 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 2 Cybernetics and Systems Analysis 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Soviet Mathematics 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Automation and Remote Control 1 Stochastic Processes and their Applications 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Teoriya Sluchaĭnykh Protsessov 1 Dal’nevostochnyĭ Matematicheskiĭ Sbornik 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Mathematics and its Applications (Dordrecht) all top 5 Fields 49 Probability theory and stochastic processes (60-XX) 13 Operator theory (47-XX) 9 Statistics (62-XX) 5 Partial differential equations (35-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Computer science (68-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 372 times in 313 Documents Cited by ▼ Year ▼ Semi-Markov processes and their applications. (Polumarkovskie processy i ih prilozenija.). Zbl 0371.60106 Korolyuk, V. S.; Turbin, A. F. 82 1976 A manual on probability theory and mathematical statistics. (Spravochnik po teorii veroyatnostej i matematicheskoj statistike). 2nd ed., rev. and compl. Zbl 0608.60001 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 74 1985 Mathematical foundations of phase extension of complex systems. (Математические основы фазового укрупнения сложных систем.) Zbl 0411.60003 Korolyuk, V. S.; Turbin, A. F. 55 1978 Markov renewal processes in problems of systems reliability. (Protsessy markovskogo vosstanovleniya v zadachakh nadezhnosti sistem). Zbl 0508.60073 Korolyuk, V. S.; Turbin, A. F. 38 1982 Fractal sets, functions, distributions. (Фрактальные множества, функции, распределения.) Zbl 0861.28005 Turbin, A. F.; Pratsevityj, N. V. 31 1992 The equation of symmetric Markovian random evolution in a plane. Zbl 0934.60076 Kolesnik, Alexander D.; Turbin, Anatoly F. 17 1998 Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. Zbl 0834.60001 Korolyuk, Vladimir S.; Turbin, Anatoly F. 14 1993 Semi-Markov processes and their applications. Zbl 0338.60061 Korolyuk, V. S.; Brodi, S. M.; Turbin, A. F. 11 1976 Semi-Markov models of renewal systems and queueing systems. (Polumarkovskie modeli vosstanavlivaemykh sistem i sistem massovogo obsluzhivaniya.) Zbl 0778.60064 Korlat, A. N.; Kuznetsov, V. N.; Novikov, M. M.; Turbin, A. F. 11 1991 Symmetric random evolutions in \(R^ 2\). Zbl 0697.60070 Kolesnik, A. D.; Turbin, A. F. 7 1990 Asymptotic expansion for the distribution of absorption time of a weakly nonhomogeneous Markov chain. Zbl 0478.60079 Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. 4 1981 Über eine Methode zum Beweis von Grenzwertsätzen für gewisse Funktionale von semi-Markovschen Prozessen. Zbl 0246.60063 Korolyuk, V. S.; Turbin, A. F. 3 1972 Formulae for semi-inverse and pseudo-inverse matrices. Zbl 0311.15003 Turbin, A. F. 3 1974 Aide-mémoire de théorie des probabilités et de statistique mathématique. Traduit du russe par Djilali Embarek. Zbl 0546.60002 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 3 1983 Limit theorems for Markov random evolutions in the scheme of asymptotic state lumping. Zbl 0529.60065 Korolyuk, V. S.; Turbin, A. F. 2 1983 Perturbation of operators on the spectrum and asymptotical enlargement of Markov chains. Zbl 0319.60043 Korolyuk, V. S.; Turbin, A. F. 2 1975 Asymptotic enlarging of semi-Markov processes with an arbitrary state space. Zbl 0386.60064 Korolyuk, V. S.; Turbin, A. F. 2 1976 Estimation of stationary efficiency of a production line with two unreliable aggregates. Zbl 1026.90505 Pogorui, A. A.; Turbin, A. F. 2 2002 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 Potential operators of Markov chains having a positive recurrence point. Zbl 0626.60064 Novikov, M. M.; Turbin, A. F. 1 1986 The asymptotic behaviour of the distribution of absorption time of a Markov chain. Zbl 0235.60062 Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. 1 1972 On one method of proving limit theorems for certain functionals of semi- Markov processes. Zbl 0263.60043 Korolyuk, V. S.; Turbin, A. F. 1 1973 On the asymptotic behaviour of SMP occupation times of the reducible set of states. Zbl 0257.60031 Korolyuk, V. S.; Turbin, A. F. 1 1970 On the asymptotic behavior of the occupation time of a semi-Markov process in a reducible subset of states. Zbl 0293.60085 Korolyuk, V. S.; Turbin, A. F. 1 1974 Inversion of normally solvable linear operators disturbed in the spectrum. Zbl 0316.47004 Plotkin, Ja. D.; Turbin, A. F. 1 1975 Hyperbolic equations of the random evolutions in \(\mathbb{R}^ m\). Zbl 0817.60073 Turbin, A. F.; Kolesnik, A. D. 1 1992 The time of duration of a semi-Markov-process in a splittable set of states. Zbl 0416.60090 Korolyuk, V. S.; Turbin, A. F.; Tomusyak, A. A. 1 1979 An algorithm for the enlargement of Markov chains by means of reduction. Zbl 0418.60072 Korolyuk, V. S.; Tomusyak, A. A.; Turbin, A. F. 1 1979 Estimation of stationary efficiency of a production line with two unreliable aggregates. Zbl 1026.90505 Pogorui, A. A.; Turbin, A. F. 2 2002 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 The equation of symmetric Markovian random evolution in a plane. Zbl 0934.60076 Kolesnik, Alexander D.; Turbin, Anatoly F. 17 1998 Mathematical foundations of the state lumping of large systems. Transl. from the Russ. and upd. by V. V. Zayats and Y. A. Atanov. Zbl 0834.60001 Korolyuk, Vladimir S.; Turbin, Anatoly F. 14 1993 Fractal sets, functions, distributions. (Фрактальные множества, функции, распределения.) Zbl 0861.28005 Turbin, A. F.; Pratsevityj, N. V. 31 1992 Hyperbolic equations of the random evolutions in \(\mathbb{R}^ m\). Zbl 0817.60073 Turbin, A. F.; Kolesnik, A. D. 1 1992 Semi-Markov models of renewal systems and queueing systems. (Polumarkovskie modeli vosstanavlivaemykh sistem i sistem massovogo obsluzhivaniya.) Zbl 0778.60064 Korlat, A. N.; Kuznetsov, V. N.; Novikov, M. M.; Turbin, A. F. 11 1991 Symmetric random evolutions in \(R^ 2\). Zbl 0697.60070 Kolesnik, A. D.; Turbin, A. F. 7 1990 Potential operators of Markov chains having a positive recurrence point. Zbl 0626.60064 Novikov, M. M.; Turbin, A. F. 1 1986 A manual on probability theory and mathematical statistics. (Spravochnik po teorii veroyatnostej i matematicheskoj statistike). 2nd ed., rev. and compl. Zbl 0608.60001 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 74 1985 Aide-mémoire de théorie des probabilités et de statistique mathématique. Traduit du russe par Djilali Embarek. Zbl 0546.60002 Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. 3 1983 Limit theorems for Markov random evolutions in the scheme of asymptotic state lumping. Zbl 0529.60065 Korolyuk, V. S.; Turbin, A. F. 2 1983 Markov renewal processes in problems of systems reliability. (Protsessy markovskogo vosstanovleniya v zadachakh nadezhnosti sistem). Zbl 0508.60073 Korolyuk, V. S.; Turbin, A. F. 38 1982 Asymptotic expansion for the distribution of absorption time of a weakly nonhomogeneous Markov chain. Zbl 0478.60079 Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. 4 1981 The time of duration of a semi-Markov-process in a splittable set of states. Zbl 0416.60090 Korolyuk, V. S.; Turbin, A. F.; Tomusyak, A. A. 1 1979 An algorithm for the enlargement of Markov chains by means of reduction. Zbl 0418.60072 Korolyuk, V. S.; Tomusyak, A. A.; Turbin, A. F. 1 1979 Mathematical foundations of phase extension of complex systems. (Математические основы фазового укрупнения сложных систем.) Zbl 0411.60003 Korolyuk, V. S.; Turbin, A. F. 55 1978 Semi-Markov processes and their applications. (Polumarkovskie processy i ih prilozenija.). Zbl 0371.60106 Korolyuk, V. S.; Turbin, A. F. 82 1976 Semi-Markov processes and their applications. Zbl 0338.60061 Korolyuk, V. S.; Brodi, S. M.; Turbin, A. F. 11 1976 Asymptotic enlarging of semi-Markov processes with an arbitrary state space. Zbl 0386.60064 Korolyuk, V. S.; Turbin, A. F. 2 1976 Perturbation of operators on the spectrum and asymptotical enlargement of Markov chains. Zbl 0319.60043 Korolyuk, V. S.; Turbin, A. F. 2 1975 Inversion of normally solvable linear operators disturbed in the spectrum. Zbl 0316.47004 Plotkin, Ja. D.; Turbin, A. F. 1 1975 Formulae for semi-inverse and pseudo-inverse matrices. Zbl 0311.15003 Turbin, A. F. 3 1974 On the asymptotic behavior of the occupation time of a semi-Markov process in a reducible subset of states. Zbl 0293.60085 Korolyuk, V. S.; Turbin, A. F. 1 1974 On one method of proving limit theorems for certain functionals of semi- Markov processes. Zbl 0263.60043 Korolyuk, V. S.; Turbin, A. F. 1 1973 Über eine Methode zum Beweis von Grenzwertsätzen für gewisse Funktionale von semi-Markovschen Prozessen. Zbl 0246.60063 Korolyuk, V. S.; Turbin, A. F. 3 1972 The asymptotic behaviour of the distribution of absorption time of a Markov chain. Zbl 0235.60062 Korolyuk, V. S.; Penev, I. P.; Turbin, A. F. 1 1972 On the asymptotic behaviour of SMP occupation times of the reducible set of states. Zbl 0257.60031 Korolyuk, V. S.; Turbin, A. F. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 307 Authors 20 Korolyuk, Volodymyr Semenovych 14 Pratsiovytyi, Mykola 10 Peschanskij, A. I. 10 Torbin, Grygoriy Myroslavovych 9 Rozenberg, Valerii L’vovich 8 Albeverio, Sergio A. 8 Anisimov, Vladimir Vladislavovič 8 Silvestrov, Dmitrii 7 Boĭchuk, Oleksandr Andriĭovych 7 Obzherin, Yuriy E. 7 Tsarkov, K. A. 6 Fatalov, Vadim Rolandovich 6 Kolesnik, Alexander D. 6 Pogorui, Anatoliy A. 6 Swishchuk, Anatoliy 5 Giona, Massimiliano 5 Kislitsyn, Alexey A. 5 Korolyuk, Vladimir V. 5 Lebedev, Eugene O. 5 Nakonechnyj, A. N. 5 Orsingher, Enzo 5 Pokutnyĭ, Oleksandr Olekseevich 5 Rudenko, E. A. 5 Samoilenko, Igor V. 5 Zhuravlëv, Viktor Filippovich 4 Avrachenkov, Konstantin Evgen’evich 4 Kuznetsov, N. Yu. 4 Turbin, Anatoly F. 3 Brasiello, Antonio 3 Chabanyuk, Yaroslav M. 3 Crescitelli, Silvestro 3 Kovalenko, Igor Mykolaĭovych 3 Kuznetsov, Dmitriĭ Feliksovich 3 Melikov, Agassi Z. 3 Nikiforov, Roman O. 3 Orlov, Yurii N. 3 Ratushniak, S. P. 3 Rodríguez-Dagnino, Ramón Martín 3 Rykov, Vladimir Vasil’evich 3 Shpak, Valentyn D. 3 Silvestrov, Sergei D. 3 Yeleyko, Yaroslav I. 3 Zamrii, Iryna V. 2 Afanas’ev, Valeriĭ Ivanovich 2 Altman, Eitan 2 Bogomolov, S. V. 2 Bratijchuk, N. S. 2 Cinque, Fabrizio 2 Di Crescenzo, Antonio 2 Dubko, Valeriĭ Alekseevich 2 Goncharenko, Ya. V. 2 Grabski, Franciszek 2 Gusak, Dmytro V. 2 Kharlamov, Boris Pavlovich 2 Hou, Zhenting 2 Ibragim, Muslem 2 Iuliano, Antonella 2 Ivaneshkin, A. I. 2 Kinash, O. M. 2 Kondrat’yev, Yuriĭ Grygorovych 2 Korepanov, Eh. R. 2 Kovalenko, A. I. 2 Kukush, Oleksandr Georgiĭovych 2 Kůrka, Petr 2 Kuznetsov, I. N. 2 Limnios, Nikolaos 2 Liu, Zaiming 2 Livinska, Hanna 2 Logachov, Artem Vasilhevich 2 Lukashuk, L. I. 2 Malinovskiĭ, Vsevolod Konstantinovich 2 Matsak, Ivan K. 2 Rodríguez-Said, Roberto D. 2 Shurenkov, V. M. 2 Sinitsyn, Igor’ Nikolaevich 2 Sinitsyn, V. I. 2 Skatkov, A. V. 2 Strik, Ya. 2 Suhov, Yurii Mikhailovich 2 Svynchuk, Olga V. 2 Tadzhiev, A. 2 Velikii, A. P. 2 Vvedenskaya, Nikita Dmitrievna 2 Yambartsev, Anatoly A. 2 Yarova, O. A. 2 Zou, Jiezhong 1 Adrover, Alessandra 1 Alchekov, A. K. 1 Alsmeyer, Gerold 1 Amosov, E. A. 1 Andreev, N. V. 1 Antonyuk, Svitlana V. 1 Averina, Tat’yana Aleksandrovna 1 Babich, Dmitry Vasilievich 1 Baltrūnas, Aleksandras 1 Bandaliev, Rovshan Alifaga ogly 1 Barabash, Oleg V. 1 Baranovs’kyĭ, O. M. 1 Baranovskyi, Oleksandr 1 Barrera, Gerardo ...and 207 more Authors all top 5 Cited in 75 Serials 45 Ukrainian Mathematical Journal 42 Cybernetics and Systems Analysis 23 Automation and Remote Control 22 Cybernetics 18 Journal of Mathematical Sciences (New York) 14 Theory of Probability and Mathematical Statistics 13 Journal of Soviet Mathematics 6 Journal of Computer and Systems Sciences International 5 Bulletin des Sciences Mathématiques 5 Matematicheskoe Modelirovanie 4 Problems of Information Transmission 4 Doklady Mathematics 4 Differentsial’nye Uravneniya i Protsessy Upravleniya 3 Computers & Mathematics with Applications 3 Mathematical Biosciences 3 Theory of Probability and its Applications 3 Applied Mathematics and Computation 3 Journal of Applied Probability 3 Computational Mathematics and Mathematical Physics 3 Stochastic Processes and their Applications 3 Random Operators and Stochastic Equations 3 Methodology and Computing in Applied Probability 3 Differential Equations 3 Proceedings of the Steklov Institute of Mathematics 2 Advances in Applied Probability 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Physica A 2 Statistics & Probability Letters 2 Linear Algebra and its Applications 2 Chinese Science Bulletin 2 Matematychni Studiï 2 Stochastics and Dynamics 2 Nonlinear Oscillations 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Modern Stochastics. Theory and Applications 2 Matematicheskie Zametki SVFU 2 Matematicheskie Voprosy Kriptografii 1 Lithuanian Mathematical Journal 1 Moscow University Mathematics Bulletin 1 Theoretical and Mathematical Physics 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Journal of Theoretical Probability 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Stochastics and Stochastics Reports 1 Doklady Akademii Nauk 1 Russian Mathematics 1 Opuscula Mathematica 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Mathematical Methods of Operations Research 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Stochastic Models 1 Central European Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastics 1 Chebyshevskiĭ Sbornik 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 ISRN Probability and Statistics 1 Discontinuity, Nonlinearity, and Complexity 1 Ural Mathematical Journal 1 Mathematics in Engineering 1 Mechanics of Solids all top 5 Cited in 37 Fields 207 Probability theory and stochastic processes (60-XX) 47 Systems theory; control (93-XX) 45 Operations research, mathematical programming (90-XX) 33 Statistics (62-XX) 24 Measure and integration (28-XX) 18 Number theory (11-XX) 18 Partial differential equations (35-XX) 18 Numerical analysis (65-XX) 17 Ordinary differential equations (34-XX) 16 Computer science (68-XX) 11 Real functions (26-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year