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 Author ID: vatutin.vladimir-a Published as: Vatutin, V.; Vatutin, V. A.; Vatutin, Vladimir; Vatutin, Vladimir A.; Vatutin, Vladimir Alekseevich External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 170 Publications since 1974, including 7 Books Reviewing Activity: 113 Reviews Biographic References: 1 Publication
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#### Co-Authors

 60 single-authored 25 D’yakonova, Elena Evgen’evna 17 Topchiĭ, Valentin Alekseevich 16 Sagitov, Serik 7 Mikhaĭlov, Vladimir Gavrilovich 6 Fleischmann, Klaus 6 Kersting, Götz-Dietrich 5 Jagers, Peter 5 Rösler, Uwe 5 Wachtel, Vitali I. 5 Zubkov, Andreĭ Mikhaĭlovich 4 Afanas’ev, Valeriĭ Ivanovich 4 Borovkov, Konstantin A. 4 Geiger, Jochen 4 Yanev, Nikolay Mihailov 3 Haccou, Patsy 3 Iksanov, Aleksander M. 3 Mitov, Kosto V. 2 Bansaye, Vincent 2 Böinghoff, Christian 2 Chistyakov, Vladimir Pavlovich 2 Hong, Wenming 2 Klebaner, Fima C. 2 Leonov, Aleksandr Sergeevich 2 Liu, Quansheng 2 Prilepko, Alekseĭ Ivanovich 2 Smadi, Charline 2 Tikhonov, Andreĭ Nikolaevich 2 Vasin, Igor A. 2 Wakolbinger, Anton 2 Yagola, Anatoliĭ Grigor’evich 1 Asmussen, Søren 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Denisov, Denis E. 1 Dong, Chunhao 1 Drmota, Michael 1 Hu, Yueyun 1 Ji, Yao 1 Kolchin, Valentin F. 1 Kyprianou, Andreas E. 1 Li, Doudou 1 Liu, Minzhi 1 Marynych, Alexander V. 1 Mehlig, Bernhard 1 Nerman, Olle 1 Shiryaev, Al’bert Nikolaevich 1 Televinova, T. M. 1 Xiong, Jie 1 Yarovaya, Elena B. 1 Zhang, Mei 1 Zheng, Xinghua
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#### Serials

 43 Theory of Probability and its Applications 15 Teoriya Veroyatnosteĭ i eë Primeneniya 12 Discrete Mathematics and Applications 7 Mathematical Notes 6 Proceedings of the Steklov Institute of Mathematics 5 Advances in Applied Probability 5 Markov Processes and Related Fields 4 Journal of Applied Probability 3 Matematicheskie Zametki 3 Journal of Soviet Mathematics 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Theoretical Population Biology 3 Siberian Advances in Mathematics 3 Mathematics of the USSR, Sbornik 3 Stochastic Processes and their Applications 3 Journal of Mathematical Sciences (New York) 3 Matematicheskie Trudy 2 Soviet Mathematics. Doklady 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Lektsionnye Kursy NOTs 2 PLISKA. Studia Mathematica 1 Russian Mathematical Surveys 1 The Annals of Probability 1 Acta Applicandae Mathematicae 1 Journal of Theoretical Probability 1 Serdica 1 Itogi Nauki i Tekhniki. Seriya Teoriya Veroyatnosteĭ. Matematicheskaya Statistika. Teoreticheskaya Kibernetika 1 Electronic Journal of Probability 1 Bernoulli 1 Acta Mathematica Sinica. English Series 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Biological Dynamics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 International Journal of Stochastic Analysis 1 Mathematics and Statistics Series
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#### Fields

 158 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 6 History and biography (01-XX) 5 Combinatorics (05-XX) 4 Computer science (68-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

121 Publications have been cited 768 times in 437 Documents Cited by Year
Branching processes. Variation, growth, and extinction of populations. Zbl 1118.92001
Haccou, Patsy; Jagers, Peter; Vatutin, Vladimir A.
2005
Criticality for branching processes in random environment. Zbl 1075.60107
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
2005
Local probabilities for random walks conditioned to stay positive. Zbl 1158.60014
2009
Limit theorems for subcritical branching processes in random environment. Zbl 1038.60083
Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A.
2003
Functional limit theorems for strongly subcritical branching processes in random environment. Zbl 1080.60079
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
2005
Branching processes. II. Zbl 0846.60083
Vatutin, V. A.; Zubkov, A. M.
1993
Stochasticity in the adaptive dynamics of evolution: the bare bones. Zbl 1403.92180
Klebaner, Fima C.; Sagitov, Serik; Vatutin, Vladimir A.; Haccou, Patsy; Jagers, Peter
2011
Limit theorems for the number of empty cells in an equiprobable scheme for group allocation of particles. Zbl 0536.60017
Vatutin, V. A.; Mikhajlov, V. G.
1982
Conditional limit theorems for intermediately subcritical branching processes in random environment. Zbl 1290.60083
Afanasyev, V. I.; Böinghoff, Ch.; Kersting, G.; Vatutin, V. A.
2014
Decomposable branching processes with a fixed extinction moment. Zbl 1330.60107
Vatutin, V. A.; Dyakonova, E. E.
2015
On the survival probability and a functional limit theorem for branching processes in random environment. Zbl 1078.60065
Dyakonova, E. E.; Geiger, J.; Vatutin, V. A.
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
Limit theorem for an intermediate subcritical branching process in a random environment. Zbl 1068.60096
Vatutin, V. A.
2003
Discrete time branching processes in random environment. Zbl 1406.60005
2017
Evolution of branching processes in a random environment. Zbl 1290.60086
Vatutin, V. A.; Dyakonova, E. E.; Sagitov, S.
2013
Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. Zbl 1091.60037
Vatutin, V. A.; Dyakonova, E. E.
2004
Galton-Watson branching processes in a random environment. I: Limit theorems. Zbl 1079.60080
Vatutin, V. A.; Dyakonova, E. E.
2003
Reduced subcritical Galton-Watson processes in a random environment. Zbl 0938.60090
1999
Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve. Zbl 1350.60015
Iksanov, A. M.; Marynych, A. V.; Vatutin, V. A.
2015
Branching processes in random environment which extinct at a given moment. Zbl 1204.60086
Böinghoff, C.; Dyakonova, E. E.; Kersting, G.; Vatutin, V. A.
2010
Branching processes in a random environment and bottlenecks in the evolution of populations. Zbl 1114.60085
Vatutin, V. A.; Dyakonova, E. E.
2007
Limit theorems for critical Markov branching processes with several types of particles and infinite second moments. Zbl 0396.60072
Vatutin, V. A.
1977
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
Limit theorems for the number of empty cells in the equiprobable scheme of group disposal of particles. Zbl 0517.60008
Vatutin, V. A.; Mikhajlov, V. G.
1982
Discrete limit distributions of the number of particles in critical Bellman-Harris branching processes. Zbl 0391.60082
Vatutin, V. A.
1977
A decomposable branching process in a Markovian environment. Zbl 1411.60126
Vatutin, Vladimir; Dyakonova, Elena; Jagers, Peter; Sagitov, Serik
2012
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
Reduced branching processes in random environment: The critical case. Zbl 1039.60077
Vatutin, V. A.
2002
Multitype branching processes and some queueing systems. Zbl 1015.60076
Vatutin, V. A.; Dyakonova, E. E.
2002
On distribution tails and expectations of maxima in critical branching processes. Zbl 0869.60077
Borovkov, K. A.; Vatutin, V. A.
1996
A decomposable critical branching process with two types of particles. Zbl 0619.60079
Vatutin, V. A.; Sagitov, S. M.
1986
Branching processes. I. Zbl 0608.60076
Vatutin, V. A.; Zubkov, A. M.
1985
Continuous-time branching processes with decreasing state-dependent immigration. Zbl 0549.60079
Mitov, K. V.; Vatutin, V. A.; Yanev, N. M.
1984
Path to survival for the critical branching processes in a random environment. Zbl 1400.60111
2017
A conditional functional limit theorem for decomposable branching processes with two types of particles. Zbl 1372.60126
Vatutin, V. A.
2017
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 theorems for reduced branching processes in a random environment. Zbl 1154.60079
Vatutin, V. A.; Dyakonova, E. E.
2008
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
Statistical estimation of the entropy of discrete random variables with a large number of outcomes. Zbl 0851.62009
Vatutin, V. A.; Mikhailov, V. G.
1995
A decomposable critical branching process with two types of particles. Zbl 0665.60086
Vatutin, V. A.; Sagitov, S. M.
1988
Discrete limit distributions of the number of particles in a Bellman- Harris branching process with several types of particles. Zbl 0435.60083
Vatutin, V. A.
1980
A conditional limit theorem for a critical branching process with immigration. Zbl 0411.60081
Vatutin, V. A.
1977
Extinction of decomposable branching processes. Zbl 1375.60130
Vatutin, Vladimir A.; Dyakonova, Elena E.
2016
The structure of the decomposable reduced branching processes. I: Finite-dimensional distributions. Zbl 1337.60216
Vatutin, V. A.
2015
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
2013
Polling systems and multitype branching processes in random environment with final product. Zbl 1244.60089
Vatutin, V. A.
2011
Asymptotic properties of multitype critical branching processes evolving in a random environment. Zbl 1205.60152
Vatutin, V. A.; Dyakonova, E. E.
2010
Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078
Vatutin, V. A.; Wachtel, V.; Fleischmann, K.
2008
Some limit theorems for a particle system of single point catalytic branching random walks. Zbl 1129.60079
2007
Establishment success and extinction risk in autocorrelated environments. Zbl 1102.92052
2003
The survival probability of a critical multitype Galton-Watson branching process. Zbl 0999.60081
Vatutin, V. A.; Dyakonova, E. E.
2001
Reduced critical branching processes in random environment. Zbl 0942.60074
Borovkov, K. A.; Vatutin, V. A.
1997
The numbers of ascending segments in a random permutation and in the inverse to it are asymptotically independent. Zbl 0847.05002
Vatutin, V. A.
1996
Critical Bellman-Harris branching processes starting from a large number of particles. Zbl 0621.60092
Vatutin, V. A.
1986
Distance to the nearest common ancestor in Bellman-Harris branching processes. Zbl 0437.60062
Vatutin, V. A.
1979
A critical Galton-Watson branching process with emigration. Zbl 0402.60082
Vatutin, V. A.
1977
The asymptotic probability of the first degeneration for branching processes with immigration. Zbl 0321.60061
Vatutin, V. A.
1974
On the survival probability for a class of subcritical branching processes in random environment. Zbl 1362.60074
2017
Reduced two-type decomposable critical branching processes with possibly infinite variance. Zbl 1357.92053
2016
The structure of decomposable reduced branching processes. II: Functional limit theorems. Zbl 1337.60217
Vatutin, V. A.
2016
Subcritical branching processes in a random environment without the Cramer condition. Zbl 1251.60066
2012
Coalescent approximation for structured populations in a stationary random environment. Zbl 1403.92153
Sagitov, S.; Jagers, P.; Vatutin, V.
2010
On the asymptotic behaviour of random recursive trees in random environments. Zbl 1107.05082
Borovkov, K. A.; Vatutin, V. A.
2006
Yaglom type limit theorem for branching processes in random environment. Zbl 1063.60150
2004
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
2002
Reduced branching processes in random environment. Zbl 1027.60092
2002
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
2000
Limiting distributions in branching processes with two types of particles. Zbl 0867.60060
1997
Branching processes. I. Zbl 0634.60070
Vatutin, V. A.; Zubkov, A. M.
1987
On a class of critical Bellman-Harris branching processes with several types of particles. Zbl 0471.60085
Vatutin, V. A.
1981
Discrete limit distributions of the number of particles in multitype age- dependent branching processes. Zbl 0408.60081
Vatutin, V. A.
1979
Subcritical branching processes in random environment. Zbl 1354.60103
2016
Limit theorems for decomposable branching processes in a random environment. Zbl 1326.60144
2015
Total population size in critical branching processes in a random environment. Zbl 1288.60130
Vatutin, V. A.
2012
Multitype branching processes with immigration in random environment, and polling systems. Zbl 1249.60182
Vatutin, V. A.
2011
Branching Bellman-Harris processes. Zbl 1304.60007
Vatutin, V. A.
2009
Waves in reduced branching processes in a random environment. Zbl 1191.60125
Vatutin, V. A.; Dyakonova, E. E.
2009
Branching process and their application. Zbl 1304.60006
Vatutin, V. A.
2008
Deviations from typical type proportions in critical multitype Galton-Watson processes. Zbl 0988.60084
Fleischmann, K.; Vatutin, V. A.
2000
On the explosiveness of nonhomogeneous age-dependent branching processes. Zbl 0948.60077
Vatutin, V. A.
1995
Sufficient conditions for regularity of Bellman-Harris branching processes. Zbl 0658.60115
Vatutin, V. A.
1987
Critical Bellman-Harris branching processes starting with a large number of particles. Zbl 0659.60117
Vatutin, V. A.
1986
Branching processes with infinite variance. Zbl 0900.60093
Vatutin, V. A.
1983
On a class of limit theorems for a critical Bellman-Harris branching process. Zbl 0474.60067
Vatutin, V. A.
1981
A limit theorem for a critical Bellman-Harris branching process with several types of particles and infinite second moments. Zbl 0422.60062
Vatutin, V. A.
1979
A condition for regularity of the Bellman-Harris branching process. Zbl 0365.60078
Vatutin, V. A.
1976
Multi-type subcritical branching processes in a random environment. Zbl 1431.60103
2018
Decomposable branching processes with two types of particles. Zbl 1397.60115
Vatutin, Vladimir A.; Dyakonova, Elena E.
2018
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2015
Local probabilities for random walks with negative drift conditioned to stay nonnegative. Zbl 1307.60050
Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali
2014
A key renewal theorem for heavy tail distributions with $${\beta\in(0,0.5]}$$. Zbl 1316.60134
Vatutin, V.; Topchii, V.
2014
Evolutionary branching in a stochastic population model with discrete mutational steps. Zbl 1275.92080
Sagitov, S.; Mehlig, B.; Jagers, P.; Vatutin, V.
2013
Critical branching process with two types of particles evolving in asynchronous random environments. Zbl 1286.60103
Vatutin, V. A.; Liu, Q.
2013
Multitype branching processes with immigration in random environment, and polling systems. Zbl 1335.60161
Vatutin, V. A.
2011
Sudden extinction of a critical branching process in a random environment. Zbl 1205.60153
Vatutin, V. A.; Wachtel, V.
2009
Branching processes in random environment die slowly. Zbl 1357.60094
Vatutin, Vladimir A.; Kyprianou, Andreas E.
2008
Branching systems with long-living particles at the critical dimension. Zbl 1036.60074
Fleischmann, K.; Vatutin, V. A.; Wakolbinger, A.
2002
Multi-type subcritical branching processes in a random environment. Zbl 1431.60103
2018
Decomposable branching processes with two types of particles. Zbl 1397.60115
Vatutin, Vladimir A.; Dyakonova, Elena E.
2018
Discrete time branching processes in random environment. Zbl 1406.60005
2017
Path to survival for the critical branching processes in a random environment. Zbl 1400.60111
2017
A conditional functional limit theorem for decomposable branching processes with two types of particles. Zbl 1372.60126
Vatutin, V. A.
2017
On the survival probability for a class of subcritical branching processes in random environment. Zbl 1362.60074
2017
Extinction of decomposable branching processes. Zbl 1375.60130
Vatutin, Vladimir A.; Dyakonova, Elena E.
2016
Reduced two-type decomposable critical branching processes with possibly infinite variance. Zbl 1357.92053
2016
The structure of decomposable reduced branching processes. II: Functional limit theorems. Zbl 1337.60217
Vatutin, V. A.
2016
Subcritical branching processes in random environment. Zbl 1354.60103
2016
Decomposable branching processes with a fixed extinction moment. Zbl 1330.60107
Vatutin, V. A.; Dyakonova, E. E.
2015
Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve. Zbl 1350.60015
Iksanov, A. M.; Marynych, A. V.; Vatutin, V. A.
2015
The structure of the decomposable reduced branching processes. I: Finite-dimensional distributions. Zbl 1337.60216
Vatutin, V. A.
2015
Limit theorems for decomposable branching processes in a random environment. Zbl 1326.60144
2015
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2015
Conditional limit theorems for intermediately subcritical branching processes in random environment. Zbl 1290.60083
Afanasyev, V. I.; Böinghoff, Ch.; Kersting, G.; Vatutin, V. A.
2014
Local probabilities for random walks with negative drift conditioned to stay nonnegative. Zbl 1307.60050
Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali
2014
A key renewal theorem for heavy tail distributions with $${\beta\in(0,0.5]}$$. Zbl 1316.60134
Vatutin, V.; Topchii, V.
2014
Evolution of branching processes in a random environment. Zbl 1290.60086
Vatutin, V. A.; Dyakonova, E. E.; Sagitov, S.
2013
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
2013
Evolutionary branching in a stochastic population model with discrete mutational steps. Zbl 1275.92080
Sagitov, S.; Mehlig, B.; Jagers, P.; Vatutin, V.
2013
Critical branching process with two types of particles evolving in asynchronous random environments. Zbl 1286.60103
Vatutin, V. A.; Liu, Q.
2013
A decomposable branching process in a Markovian environment. Zbl 1411.60126
Vatutin, Vladimir; Dyakonova, Elena; Jagers, Peter; Sagitov, Serik
2012
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
Subcritical branching processes in a random environment without the Cramer condition. Zbl 1251.60066
2012
Total population size in critical branching processes in a random environment. Zbl 1288.60130
Vatutin, V. A.
2012
Stochasticity in the adaptive dynamics of evolution: the bare bones. Zbl 1403.92180
Klebaner, Fima C.; Sagitov, Serik; Vatutin, Vladimir A.; Haccou, Patsy; Jagers, Peter
2011
Catalytic branching random walks in $$\mathbb Z^d$$ with branching at the origin. Zbl 1340.60134
Vatutin, V. A.; Topchii, V. A.
2011
Polling systems and multitype branching processes in random environment with final product. Zbl 1244.60089
Vatutin, V. A.
2011
Multitype branching processes with immigration in random environment, and polling systems. Zbl 1249.60182
Vatutin, V. A.
2011
Multitype branching processes with immigration in random environment, and polling systems. Zbl 1335.60161
Vatutin, V. A.
2011
Branching processes in random environment which extinct at a given moment. Zbl 1204.60086
Böinghoff, C.; Dyakonova, E. E.; Kersting, G.; Vatutin, V. A.
2010
Asymptotic properties of multitype critical branching processes evolving in a random environment. Zbl 1205.60152
Vatutin, V. A.; Dyakonova, E. E.
2010
Coalescent approximation for structured populations in a stationary random environment. Zbl 1403.92153
Sagitov, S.; Jagers, P.; Vatutin, V.
2010
Local probabilities for random walks conditioned to stay positive. Zbl 1158.60014
2009
Branching Bellman-Harris processes. Zbl 1304.60007
Vatutin, V. A.
2009
Waves in reduced branching processes in a random environment. Zbl 1191.60125
Vatutin, V. A.; Dyakonova, E. E.
2009
Sudden extinction of a critical branching process in a random environment. Zbl 1205.60153
Vatutin, V. A.; Wachtel, V.
2009
Limit theorems for reduced branching processes in a random environment. Zbl 1154.60079
Vatutin, V. A.; Dyakonova, E. E.
2008
Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078
Vatutin, V. A.; Wachtel, V.; Fleischmann, K.
2008
Branching process and their application. Zbl 1304.60006
Vatutin, V. A.
2008
Branching processes in random environment die slowly. Zbl 1357.60094
Vatutin, Vladimir A.; Kyprianou, Andreas E.
2008
Branching processes in a random environment and bottlenecks in the evolution of populations. Zbl 1114.60085
Vatutin, V. A.; Dyakonova, E. E.
2007
Some limit theorems for a particle system of single point catalytic branching random walks. Zbl 1129.60079
2007
On the asymptotic behaviour of random recursive trees in random environments. Zbl 1107.05082
Borovkov, K. A.; Vatutin, V. A.
2006
Branching processes. Variation, growth, and extinction of populations. Zbl 1118.92001
Haccou, Patsy; Jagers, Peter; Vatutin, Vladimir A.
2005
Criticality for branching processes in random environment. Zbl 1075.60107
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
2005
Functional limit theorems for strongly subcritical branching processes in random environment. Zbl 1080.60079
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
2005
Limit theorem for critical catalytic branching random walks. Zbl 1093.60062
Vatutin, V. A.; Topchii, V. A.
2005
On the survival probability and a functional limit theorem for branching processes in random environment. Zbl 1078.60065
Dyakonova, E. E.; Geiger, J.; Vatutin, V. A.
2004
Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. Zbl 1091.60037
Vatutin, V. A.; Dyakonova, E. E.
2004
Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091
2004
Yaglom type limit theorem for branching processes in random environment. Zbl 1063.60150
2004
Limit theorems for subcritical branching processes in random environment. Zbl 1038.60083
Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A.
2003
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
Limit theorem for an intermediate subcritical branching process in a random environment. Zbl 1068.60096
Vatutin, V. A.
2003
Galton-Watson branching processes in a random environment. I: Limit theorems. Zbl 1079.60080
Vatutin, V. A.; Dyakonova, E. E.
2003
Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078
2003
Establishment success and extinction risk in autocorrelated environments. Zbl 1102.92052
2003
Convergence rate for stable weighted branching processes. Zbl 1024.60035
Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir
2002
Reduced branching processes in random environment: The critical case. Zbl 1039.60077
Vatutin, V. A.
2002
Multitype branching processes and some queueing systems. Zbl 1015.60076
Vatutin, V. A.; Dyakonova, E. E.
2002
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
2002
Reduced branching processes in random environment. Zbl 1027.60092
2002
Branching systems with long-living particles at the critical dimension. Zbl 1036.60074
Fleischmann, K.; Vatutin, V. A.; Wakolbinger, A.
2002
The survival probability of a critical multitype Galton-Watson branching process. Zbl 0999.60081
Vatutin, V. A.; Dyakonova, E. E.
2001
High-level overshoot for a class of random sequences. Zbl 0991.60069
Roesler, U.; Topchii, V. A.; Vatutin, V. A.
2001
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
2000
Deviations from typical type proportions in critical multitype Galton-Watson processes. Zbl 0988.60084
Fleischmann, K.; Vatutin, V. A.
2000
Linear functionals for critical multitype Galton-Watson branching processes. Zbl 0971.60082
Vatutin, V. A.
2000
An integral test for a critical multitype spatially homogeneous branching particle process and a related reaction-diffusion system. Zbl 0977.60086
2000
Reduced subcritical Galton-Watson processes in a random environment. Zbl 0938.60090
1999
Spatial branching populations with long individual lifetimes. Zbl 0963.60088
Vatutin, V.; Wakolbinger, A.
1998
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, V. A.
1997
Reduced critical branching processes in random environment. Zbl 0942.60074
Borovkov, K. A.; Vatutin, V. A.
1997
Limiting distributions in branching processes with two types of particles. Zbl 0867.60060
1997
Critical branching processes in random environment: The probability of extinction at a given moment. Zbl 0977.60088
Vatutin, V. A.; Dyakonova, E. E.
1997
On distribution tails and expectations of maxima in critical branching processes. Zbl 0869.60077
Borovkov, K. A.; Vatutin, V. A.
1996
The numbers of ascending segments in a random permutation and in the inverse to it are asymptotically independent. Zbl 0847.05002
Vatutin, V. A.
1996
The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039
Vatutin, V. A.; Mikhailov, V. G.
1996
Statistical estimation of the entropy of discrete random variables with a large number of outcomes. Zbl 0851.62009
Vatutin, V. A.; Mikhailov, V. G.
1995
On the explosiveness of nonhomogeneous age-dependent branching processes. Zbl 0948.60077
Vatutin, V. A.
1995
Limit theorems for the number of ascending segments in random permutations generated by sorting algorithms. Zbl 0801.60003
Vatutin, V. A.
1994
Branching processes. II. Zbl 0846.60083
Vatutin, V. A.; Zubkov, A. M.
1993
The total number of particles in a reduced Bellman-Harris branching process. Zbl 0807.60082
Vatutin, V. A.
1993
Multitype critical Galton-Watson branching process with final types. Zbl 0725.60095
Vatutin, V. A.; Yanev, N. M.
1991
Decomposable critical Bellman-Harris branching process with two particle types. II. Zbl 0692.60065
Vatutin, V. A.; Sagitov, S. M.
1989
A decomposable critical branching process with two types of particles. Zbl 0665.60086
Vatutin, V. A.; Sagitov, S. M.
1988
Critical decomposable Bellman-Harris processes with two types of particles. Zbl 0715.60107
Vatutin, V. A.; Sagitov, S. M
1988
Decomposable critical Bellman-Harris branching process with two types of particles. I. Zbl 0673.60091
Vatutin, V. A.; Sagitov, S. M.
1988
Decomposable critical branching Bellman-Harris process with particles of two different types. I. Zbl 0649.60088
Vatutin, V. A.; Sagitov, S. M.
1988
Branching processes. I. Zbl 0634.60070
Vatutin, V. A.; Zubkov, A. M.
1987
Sufficient conditions for regularity of Bellman-Harris branching processes. Zbl 0658.60115
Vatutin, V. A.
1987
Asymptotic properties of Bellman-Harris critical branching processes starting with a large number of particles. Zbl 0736.60080
Vatutin, V. A.
1987
A decomposable critical branching process with two types of particles. Zbl 0619.60079
Vatutin, V. A.; Sagitov, S. M.
1986
Critical Bellman-Harris branching processes starting from a large number of particles. Zbl 0621.60092
Vatutin, V. A.
1986
Critical Bellman-Harris branching processes starting with a large number of particles. Zbl 0659.60117
Vatutin, V. A.
1986
Critical branching processes with random migration stopped at zero. Zbl 0607.60076
Yanev, Nikolaj M.; Vatutin, Vladimir A.; Mitov, Kosto V.
1986
Branching processes. I. Zbl 0608.60076
Vatutin, V. A.; Zubkov, A. M.
1985
Continuous-time branching processes with decreasing state-dependent immigration. Zbl 0549.60079
Mitov, K. V.; Vatutin, V. A.; Yanev, N. M.
1984
...and 21 more Documents
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#### Cited by 509 Authors

 39 Vatutin, Vladimir Alekseevich 16 D’yakonova, Elena Evgen’evna 15 Mota, Manuel 12 Bulinskaya, Ekaterina Vladimirovna 12 Sagitov, Serik 12 Yanev, Nikolay Mihailov 11 Gonzalez-Velasco, Miguel 11 Liu, Quansheng 11 Molina, Manuel 10 Ball, Frank G. 10 Jagers, Peter 9 Afanas’ev, Valeriĭ Ivanovich 9 Bansaye, Vincent 9 Britton, Tom 9 Kersting, Götz-Dietrich 9 Klebaner, Fima C. 9 Ramos, Alfonso 9 Yarovaya, Elena B. 8 Wachtel, Vitali I. 7 Böinghoff, Christian 7 Hyrien, Ollivier 7 Iksanov, Aleksander M. 7 Le Page, Emile 7 Topchiĭ, Valentin Alekseevich 6 Conceição Serra, Maria 6 del Puerto, Inés Maria 6 Grama, Ion G. 6 Haccou, Patsy 6 Hautphenne, Sophie 5 Alsmeyer, Gerold 5 Lambert, Amaury 5 Martínez, Rodrigo 5 Rahimov, Ibrahim 5 Yannakakis, Mihalis 4 Bacaër, Nicolas 4 Borovkov, Konstantin A. 4 Chen, Anyue 4 Chigansky, Pavel 4 Denisov, Denis E. 4 Etessami, Kousha 4 Hamza, Kais 4 Lauvergnat, Ronan 4 Liang, Xingang 4 Marynych, Alexander V. 4 Slavtchova-Bojkova, Maroussia Nikiforova 4 Svensson, Ake 4 Trapman, Pieter 4 Uchiyama, Kôhei 3 Aidekon, Elie E. F. 3 Barbour, Andrew D. 3 Bruss, Franz Thomas 3 Doney, Ronald Arthur 3 Foss, Sergey G. 3 Ghosh, Atiyo 3 Holst, Ulla 3 Hu, Yueyun 3 Johansson, Maria 3 Kolesko, Konrad 3 Larsson, Sara 3 Li, Yingqiu 3 Lindholm, Mathias 3 Mahmoud, Hosam M. 3 Metz, Johan A. Jacob 3 Minuesa, Carmen 3 Mitov, Kosto V. 3 Nakagawa, Tetsuo 3 Oredsson, Stina 3 Ren, Yanxia 3 Rösler, Uwe 3 Rydén, Tobias 3 Song, Renming 3 Yanev, George P. 2 Allen, Benjamin L. 2 Amini, Omid 2 Baker, Jeremy 2 Bichsel, Manuel 2 Braunsteins, Peter 2 Caliebe, Amke 2 Chen, Rui 2 Corbacho, Casimiro 2 Curien, Nicolas 2 Devroye, Luc P. J. A. 2 Diekmann, Odo 2 Duffy, Ken R. 2 Geiger, Jochen 2 Gorostiza, Luis G. 2 Griffiths, Simon 2 Gröttrup, Sören 2 Guo, Pei-Chang 2 He, Hui 2 Held, Leonhard 2 Hong, Wenming 2 Hull, David M. 2 Ispány, Márton 2 Janson, Svante 2 Kabluchko, Zakhar A. 2 Kim, Gene B. 2 Knock, Edward S. 2 Lahodny, Glenn E. jun. 2 Leonenko, Nikolai N. ...and 409 more Authors
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#### Cited in 107 Serials

 34 Stochastic Processes and their Applications 26 Advances in Applied Probability 24 Journal of Mathematical Biology 21 Journal of Applied Probability 16 Mathematical Biosciences 14 Mathematical Notes 14 Theory of Probability and its Applications 14 Theoretical Population Biology 14 Stochastic Models 14 Journal of Theoretical Biology 13 Proceedings of the Steklov Institute of Mathematics 12 Statistics & Probability Letters 12 Discrete Mathematics and Applications 11 The Annals of Probability 10 Probability Theory and Related Fields 9 Journal of Theoretical Probability 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Acta Applicandae Mathematicae 6 Electronic Communications in Probability 6 Methodology and Computing in Applied Probability 5 Journal of Soviet Mathematics 5 Stochastic Analysis and Applications 4 Journal of Statistical Physics 4 Bulletin of Mathematical Biology 4 The Annals of Applied Probability 4 Electronic Journal of Probability 4 Mathematical Population Studies 3 Lithuanian Mathematical Journal 3 Queueing Systems 3 Computational Statistics and Data Analysis 3 Doklady Mathematics 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Biological Dynamics 3 Electronic Journal of Statistics 3 International Journal of Stochastic Analysis 2 Moscow University Mathematics Bulletin 2 Problems of Information Transmission 2 Biometrical Journal 2 Biometrics 2 Journal of Multivariate Analysis 2 Journal of Statistical Planning and Inference 2 Transactions of the American Mathematical Society 2 Science in China. Series A 2 Siberian Advances in Mathematics 2 Linear Algebra and its Applications 2 Bernoulli 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Calcolo 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematics of Operations Research 1 SIAM Journal on Computing 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistical Science 1 Information and Computation 1 Computational Mechanics 1 SIAM Journal on Matrix Analysis and Applications 1 Multidimensional Systems and Signal Processing 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Applied Mathematics 1 Test 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Difference Equations and Applications 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of the ACM 1 Annals of Combinatorics 1 Australian & New Zealand Journal of Statistics 1 Extremes 1 Statistical Inference for Stochastic Processes 1 Journal of Biological Systems 1 Probability in the Engineering and Informational Sciences 1 Miscelánea Matemática 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Statistical Mechanics: Theory and Experiment 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastics 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 Mathematical Geosciences ...and 7 more Serials
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#### Cited in 28 Fields

 387 Probability theory and stochastic processes (60-XX) 134 Biology and other natural sciences (92-XX) 56 Statistics (62-XX) 19 Operations research, mathematical programming (90-XX) 18 Combinatorics (05-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Numerical analysis (65-XX) 12 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX)