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Topchiĭ, Valentin Alekseevich

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 Author ID: topchii.valentin Published as: Topchii, V.; Topchii, V. A.; Topchii, Valentin; Topchii, Valentin A.; Topchij, V. A.; Topchiy, Valentin A.; Topchiĭ, V. A.; Topchiĭ, Valentin Alekseevich External Links: MGP · Math-Net.Ru · ORCID
 Documents Indexed: 53 Publications since 1978, including 3 Books Reviewing Activity: 231 Reviews
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Co-Authors

 30 single-authored 18 Vatutin, Vladimir Alekseevich 5 Rösler, Uwe 2 Iksanov, Aleksander M. 2 Klokov, Sergey A. 1 Bondarenko, E. M. 1 D’yakonova, Elena Evgen’evna 1 Foss, Sergey G. 1 Hu, Yueyun 1 Kovalevskiĭ, Artëm Pavlovich 1 Loginov, Konstantin K. 1 Pertsev, Nikolaĭ Viktorovich 1 Pichugin, Boris J. 1 Yarovaya, Elena B.
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Serials

 6 Theory of Probability and its Applications 5 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Siberian Mathematical Journal 4 Matematicheskie Trudy 3 Teoriya Veroyatnosteĭ i eë Primeneniya 3 Discrete Mathematics and Applications 2 Siberian Advances in Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Problems of Information Transmission 1 Soviet Mathematics. Doklady 1 Acta Applicandae Mathematicae 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Sbornik: Mathematics 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Proceedings of the Steklov Institute of Mathematics 1 PLISKA. Studia Mathematica
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Fields

 52 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Biology and other natural sciences (92-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

21 Publications have been cited 75 times in 50 Documents Cited by Year
Catalytic branching random walk and queuing systems with random number of independent servers. Zbl 1097.60068
Vatutin, V. A.; Topchij, V. A.; Yarovaya, E. B.
2003
Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091
2004
Convergence rate for stable weighted branching processes. Zbl 1024.60035
Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir
2002
Catalytic branching random walks in $$\mathbb Z^d$$ with branching at the origin. Zbl 1340.60134
Vatutin, V. A.; Topchii, V. A.
2011
Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078
2003
Branching random walk in $$\mathbb{Z}^{4}$$ with branching at the origin only. Zbl 1272.60061
Hu, Y.; Topchii, V. A.; Vatutin, V. A.
2012
Limit theorem for critical catalytic branching random walks. Zbl 1093.60062
Vatutin, V. A.; Topchii, V. A.
2005
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, V. A.
1997
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
2013
On the stability of a queueing system with uncountably branching fluid limits. Zbl 1101.90019
Kovalevskiĭ, A. P.; Topchiĭ, V. A.; Foss, S. G.
2005
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
2002
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
2000
The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index $$\beta\in (1/2, 1]$$. Zbl 1270.60096
Topchii, V. A.
2012
Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes. Zbl 1375.60131
Topchiy, Valentin A.
2016
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2015
A key renewal theorem for heavy tail distributions with $${\beta\in(0,0.5]}$$. Zbl 1316.60134
Vatutin, V.; Topchii, V.
2014
Derivative of renewal density with infinite moment with $$\alpha\in(0,1/2]$$. Zbl 1329.60014
Topchiĭ, V. A.
2010
High-level overshoot for a class of random sequences. Zbl 0991.60069
Roesler, U.; Topchii, V. A.; Vatutin, V. A.
2001
Estimates for the expectation of the maximum of a critical Galton-Watson process on a finite interval. Zbl 0986.60084
Bondarenko, E. M.; Topchij, V. A.
2001
Moderate deviations for the total number of particles in critical branching processes. Zbl 0661.60104
Topchij, V. A.
1988
Limit theorems for critical branching Crump-Mode-Jagers processes. Zbl 0683.60062
Topchii, V. A.
1987
Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes. Zbl 1375.60131
Topchiy, Valentin A.
2016
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2015
A key renewal theorem for heavy tail distributions with $${\beta\in(0,0.5]}$$. Zbl 1316.60134
Vatutin, V.; Topchii, V.
2014
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
2013
Branching random walk in $$\mathbb{Z}^{4}$$ with branching at the origin only. Zbl 1272.60061
Hu, Y.; Topchii, V. A.; Vatutin, V. A.
2012
The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index $$\beta\in (1/2, 1]$$. Zbl 1270.60096
Topchii, V. A.
2012
Catalytic branching random walks in $$\mathbb Z^d$$ with branching at the origin. Zbl 1340.60134
Vatutin, V. A.; Topchii, V. A.
2011
Derivative of renewal density with infinite moment with $$\alpha\in(0,1/2]$$. Zbl 1329.60014
Topchiĭ, V. A.
2010
Limit theorem for critical catalytic branching random walks. Zbl 1093.60062
Vatutin, V. A.; Topchii, V. A.
2005
On the stability of a queueing system with uncountably branching fluid limits. Zbl 1101.90019
Kovalevskiĭ, A. P.; Topchiĭ, V. A.; Foss, S. G.
2005
Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091
2004
Catalytic branching random walk and queuing systems with random number of independent servers. Zbl 1097.60068
Vatutin, V. A.; Topchij, V. A.; Yarovaya, E. B.
2003
Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078
2003
Convergence rate for stable weighted branching processes. Zbl 1024.60035
Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir
2002
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
2002
High-level overshoot for a class of random sequences. Zbl 0991.60069
Roesler, U.; Topchii, V. A.; Vatutin, V. A.
2001
Estimates for the expectation of the maximum of a critical Galton-Watson process on a finite interval. Zbl 0986.60084
Bondarenko, E. M.; Topchij, V. A.
2001
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
2000
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, V. A.
1997
Moderate deviations for the total number of particles in critical branching processes. Zbl 0661.60104
Topchij, V. A.
1988
Limit theorems for critical branching Crump-Mode-Jagers processes. Zbl 0683.60062
Topchii, V. A.
1987
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Cited by 36 Authors

 12 Bulinskaya, Ekaterina Vladimirovna 8 Yarovaya, Elena B. 6 Topchiĭ, Valentin Alekseevich 5 Vatutin, Vladimir Alekseevich 4 Liang, Xingang 4 Liu, Quansheng 3 Foss, Sergey G. 3 Rösler, Uwe 2 Alsmeyer, Gerold 2 Borst, Sem C. 2 Caliebe, Amke 2 Iksanov, Aleksander M. 2 Nagaev, Sergey Victorovich 1 Antonenko, Ekaterina 1 Boxma, Onno Johan 1 Carmona, Philippe 1 Conceição Serra, Maria 1 Ghaderi, Javad 1 Grübel, Rudolf 1 Haccou, Patsy 1 Hu, Yueyun 1 Jelenković, Predrag R. 1 Kabluchko, Zakhar A. 1 Kolesko, Konrad 1 Kovalevskiĭ, Artëm Pavlovich 1 Kuhlbusch, Dirk 1 Lebedev, Alekseĭ Viktorovich 1 Meiners, Matthias 1 Olvera-Cravioto, Mariana 1 Remerova, Maria 1 Rüschendorf, Ludger 1 Wachtel, Vitali I. 1 Whiting, Philip A. 1 Xiong, Jie 1 Zubkov, Andreĭ Mikhaĭlovich 1 Zwart, Bert P.
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Cited in 27 Serials

 5 Stochastic Processes and their Applications 3 Advances in Applied Probability 3 Mathematical Notes 3 Theory of Probability and its Applications 3 Doklady Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Journal of Applied Probability 2 Statistics & Probability Letters 2 Acta Applicandae Mathematicae 2 Journal of Theoretical Probability 2 Discrete Mathematics and Applications 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Top 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Lithuanian Mathematical Journal 1 Moscow University Mathematics Bulletin 1 Problems of Information Transmission 1 Russian Mathematical Surveys 1 Journal of Soviet Mathematics 1 Siberian Mathematical Journal 1 Theoretical Population Biology 1 Siberian Advances in Mathematics 1 Mathematical Population Studies 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastic Systems
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Cited in 9 Fields

 50 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)