×

Topchiĭ, Valentin Alekseevich

Author ID: topchii.valentin Recent zbMATH articles by "Topchiĭ, Valentin Alekseevich"
Published as: Topchij, V. A.; Topchii, V. A.; Topchiĭ, V. A.; Topchii, Valentin; Topcii, V. A.; Topchii, Valentin A.; Topchiĭ, Valentin Alekseevich; Topchiy, Valentin A.; Topchii, V.
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 60 Publications since 1977
3 Contributions as Editor
Reviewing Activity: 231 Reviews
Co-Authors: 17 Co-Authors with 29 Joint Publications
413 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 132 times in 82 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.
19
2003
Convergence rate for stable weighted branching processes. Zbl 1024.60035
Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir
10
2002
Limit theorem for critical catalytic branching random walks. Zbl 1093.60062
Vatutin, V. A.; Topchii, V. A.
9
2005
Catalytic branching random walks in \(\mathbb Z^d\) with branching at the origin. Zbl 1340.60134
Vatutin, V. A.; Topchii, V. A.
9
2011
Branching random walk in \(\mathbb{Z}^{4}\) with branching at the origin only. Zbl 1272.60061
Hu, Y.; Topchii, V. A.; Vatutin, V. A.
8
2012
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, V. A.
8
1997
Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091
Topchii, Valentin; Vatutin, Vladimir
8
2004
Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078
Topchii, Valentin; Vatutin, Vladimir
7
2003
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
6
2013
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
5
2002
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
5
2000
A key renewal theorem for heavy tail distributions with \({\beta\in(0,0.5]}\). Zbl 1316.60134
Vatutin, V.; Topchii, V.
5
2014
On the stability of a queueing system with uncountably branching fluid limits. Zbl 1101.90019
Kovalevskiĭ, A. P.; Topchiĭ, V. A.; Foss, S. G.
4
2005
Stochastic modelling of age-structured population with time and size dependence of immigration rate. Zbl 1405.92237
Pichugin, Boris J.; Pertsev, Nikolai V.; Topchii, Valentin A.; Loginov, Konstantin K.
4
2018
Critical Galton-Watson branching processes with a countable set of types and infinite second moments. Zbl 1470.60236
Vatutin, V. A.; Dyakonova, E. E.; Topchii, V. A.
4
2021
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.
3
2012
Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes. Zbl 1375.60131
Topchiy, Valentin A.
3
2016
Analysis of a stage-dependent epidemic model based on a non-Markov random process. Zbl 1505.92221
Pertsev, N. V.; Loginov, K. K.; Topchiĭ, V. A.
3
2020
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2
2015
On renewal matrices connected with branching processes with tails of distributions of different orders. Zbl 1413.60083
Topchiĭ, V. A.
2
2017
Properties of the survival probability of critical general branching processes under weak restriction. Zbl 0639.60082
Topchij, V. A.
1
1987
Moderate deviations for the total number of particles in critical branching processes. Zbl 0661.60104
Topchij, V. A.
1
1988
Limit theorems for critical branching Crump-Mode-Jagers processes. Zbl 0683.60062
Topchii, V. A.
1
1987
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.
1
2001
High-level overshoot for a class of random sequences. Zbl 0991.60069
Roesler, U.; Topchii, V. A.; Vatutin, V. A.
1
2001
Derivative of renewal density with infinite moment with \(\alpha\in(0,1/2]\). Zbl 1329.60014
Topchiĭ, V. A.
1
2010
Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders. Zbl 1391.60216
Vatutin, Vladimir Alekseevich; Topchiĭ, Valentin Alekseevich
1
2017
Numerical stochastic modeling of dynamics of interacting populations. Zbl 1526.92049
Pertsev, N. V.; Topchiĭ, V. A.; Loginov, K. K.
1
2022
Numerical stochastic modeling of dynamics of interacting populations. Zbl 1526.92049
Pertsev, N. V.; Topchiĭ, V. A.; Loginov, K. K.
1
2022
Critical Galton-Watson branching processes with a countable set of types and infinite second moments. Zbl 1470.60236
Vatutin, V. A.; Dyakonova, E. E.; Topchii, V. A.
4
2021
Analysis of a stage-dependent epidemic model based on a non-Markov random process. Zbl 1505.92221
Pertsev, N. V.; Loginov, K. K.; Topchiĭ, V. A.
3
2020
Stochastic modelling of age-structured population with time and size dependence of immigration rate. Zbl 1405.92237
Pichugin, Boris J.; Pertsev, Nikolai V.; Topchii, Valentin A.; Loginov, Konstantin K.
4
2018
On renewal matrices connected with branching processes with tails of distributions of different orders. Zbl 1413.60083
Topchiĭ, V. A.
2
2017
Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders. Zbl 1391.60216
Vatutin, Vladimir Alekseevich; Topchiĭ, Valentin Alekseevich
1
2017
Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes. Zbl 1375.60131
Topchiy, Valentin A.
3
2016
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2
2015
A key renewal theorem for heavy tail distributions with \({\beta\in(0,0.5]}\). Zbl 1316.60134
Vatutin, V.; Topchii, V.
5
2014
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
6
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.
8
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.
3
2012
Catalytic branching random walks in \(\mathbb Z^d\) with branching at the origin. Zbl 1340.60134
Vatutin, V. A.; Topchii, V. A.
9
2011
Derivative of renewal density with infinite moment with \(\alpha\in(0,1/2]\). Zbl 1329.60014
Topchiĭ, V. A.
1
2010
Limit theorem for critical catalytic branching random walks. Zbl 1093.60062
Vatutin, V. A.; Topchii, V. A.
9
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.
4
2005
Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091
Topchii, Valentin; Vatutin, Vladimir
8
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.
19
2003
Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078
Topchii, Valentin; Vatutin, Vladimir
7
2003
Convergence rate for stable weighted branching processes. Zbl 1024.60035
Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir
10
2002
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
5
2002
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.
1
2001
High-level overshoot for a class of random sequences. Zbl 0991.60069
Roesler, U.; Topchii, V. A.; Vatutin, V. A.
1
2001
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
5
2000
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, V. A.
8
1997
Moderate deviations for the total number of particles in critical branching processes. Zbl 0661.60104
Topchij, V. A.
1
1988
Properties of the survival probability of critical general branching processes under weak restriction. Zbl 0639.60082
Topchij, V. A.
1
1987
Limit theorems for critical branching Crump-Mode-Jagers processes. Zbl 0683.60062
Topchii, V. A.
1
1987
all top 5

Cited by 74 Authors

14 Bulinskaya, Ekaterina Vladimirovna
11 Topchiĭ, Valentin Alekseevich
11 Yarovaya, Elena B.
6 Vatutin, Vladimir Alekseevich
4 Iksanov, Aleksander M.
4 Liang, Xingang
4 Liu, Quansheng
4 Loginov, Konstantin Konstantinovich
4 Meiners, Matthias
4 Pertsev, Nikolaĭ Viktorovich
3 Foss, Sergey G.
3 Kolesko, Konrad
3 Rösler, Uwe
2 Alsmeyer, Gerold
2 Bocharov, Gennady A.
2 Borst, Sem C.
2 Caliebe, Amke
2 Lotova, Galiya Z.
2 Mikhaĭlov, Gennadiĭ Alekseevich
2 Nagaev, Sergeĭ Viktorovich
2 Olvera-Cravioto, Mariana
1 Antonenko, Ekaterina
1 Balashova, D. M.
1 Basrak, Bojan
1 Boxma, Onno Johan
1 Carmona, Philippe
1 Chen, Ningyuan
1 Chi, Zhiyi
1 Conceição Serra, Maria
1 Cosco, Clément
1 Döring, Leif
1 D’yakonova, Elena Evgen’evna
1 Ermishkina, E. M.
1 Formanov, Shakir Kasimovich
1 Ghaderi, Javad
1 Grebennikov, Dmitry S.
1 Grübel, Rudolf
1 Haccou, Patsy
1 Hu, Yueyun
1 Imomov, Azam Abdurakhimovich
1 Jelenković, Predrag R.
1 Jurayev, Sh. Yu.
1 Kabluchko, Zakhar A.
1 Kevei, Péter
1 Kovalevskiĭ, Artëm Pavlovich
1 Kuhlbusch, Dirk
1 Lebedev, Alekseĭ Viktorovich
1 Li, Junping
1 Litvak, Nelly
1 Liu, Rongli
1 Lukinov, Vitaliy L.
1 Maillard, Pascal
1 Marchenko, Mikhail Aleksandrovich
1 Meĭliev, A. Kh.
1 Mentemeier, Sebastian
1 Nakajima, Shuta
1 Pain, Michel
1 Platonova, Mariya V.
1 Remerova, Maria
1 Roberts, Matthew Iain
1 Rogasinsky, Sergey V.
1 Rüschendorf, Ludger
1 Ryadovkin, K. S.
1 Rytova, Anastasiya I.
1 Sagitov, Serik
1 Savinkov, Rostislav S.
1 Shklyaev, Aleksandr V.
1 Smirnov, Dmitrĭ Dmitrievich
1 Tan, Jiangrui
1 Wachtel, Vitali I.
1 Whiting, Philip A.
1 Xiong, Jie
1 Zubkov, Andreĭ Mikhaĭlovich
1 Zwart, Bert P.
all top 5

Cited in 40 Serials

6 Stochastic Processes and their Applications
4 Journal of Theoretical Probability
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Journal of Mathematical Sciences (New York)
4 Proceedings of the Steklov Institute of Mathematics
3 Advances in Applied Probability
3 Mathematical Notes
3 Theory of Probability and its Applications
3 Statistics & Probability Letters
3 Discrete Mathematics and Applications
3 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Doklady Mathematics
2 Russian Mathematical Surveys
2 Journal of Applied Probability
2 Acta Applicandae Mathematicae
2 Computational Mathematics and Mathematical Physics
2 Top
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Methodology and Computing in Applied Probability
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Lithuanian Mathematical Journal
1 Moscow University Mathematics Bulletin
1 Problems of Information Transmission
1 The Annals of Probability
1 Journal of Soviet Mathematics
1 Siberian Mathematical Journal
1 Theoretical Population Biology
1 Acta Mathematicae Applicatae Sinica. English Series
1 Probability Theory and Related Fields
1 Random Structures & Algorithms
1 Siberian Advances in Mathematics
1 Electronic Journal of Probability
1 Mathematical Population Studies
1 Matematicheskie Trudy
1 Extremes
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
1 Stochastic Systems

Citations by Year