Compute Distance To:
 Author ID: vatutin.vladimir-a Published as: Vatutin, V. A.; Vatutin, Vladimir; Vatutin, Vladimir A.; Vatutin, V.; Vatutin, Vladimir Alekseevich more...less Further Spellings: Ватутин Владимир Алексеевич External Links: MGP · ResearchGate · Math-Net.Ru · dblp · GND
 Documents Indexed: 178 Publications since 1974, including 5 Books 3 Contributions as Editor Reviewing Activity: 113 Reviews Biographic References: 3 Publications Co-Authors: 49 Co-Authors with 117 Joint Publications 1,454 Co-Co-Authors
all top 5

### Co-Authors

 63 single-authored 30 D’yakonova, Elena Evgen’evna 18 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 Smadi, Charline 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 Li, Doudou 2 Liu, Quansheng 2 Prilepko, Alekseĭ Ivanovich 2 Tikhonov, Andreĭ Nikolaevich 2 Vasin, Igor A. 2 Wakolbinger, Anton 2 Yagola, Anatoliĭ Grigor’evich 2 Zhang, Mei 1 Asmussen, Søren 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Denisov, Denis E. 1 Drmota, Michael 1 Hu, Yueyun 1 Ji, Yao 1 Kolchin, Valentin F. 1 Kyprianou, Andreas E. 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 Zheng, Xinghua
all top 5

### Serials

 45 Theory of Probability and its Applications 15 Teoriya Veroyatnosteĭ i eë Primeneniya 14 Discrete Mathematics and Applications 7 Mathematical Notes 7 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 3 Matematicheskie Voprosy Kriptografii 2 Russian Mathematical Surveys 2 Soviet Mathematics. Doklady 2 Probability Theory and Related Fields 2 Journal of Theoretical Probability 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 The Annals of Probability 1 Acta Applicandae Mathematicae 1 Serdica 1 Itogi Nauki i Tekhniki. Seriya Teoriya Veroyatnosteĭ. Matematicheskaya Statistika. Teoreticheskaya Kibernetika 1 Electronic Journal of Probability 1 Bernoulli 1 Sbornik: Mathematics 1 Extremes 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
all top 5

### Fields

 169 Probability theory and stochastic processes (60-XX) 7 Combinatorics (05-XX) 7 Biology and other natural sciences (92-XX) 6 History and biography (01-XX) 5 Computer science (68-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Information and communication theory, circuits (94-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 Open

135 Publications have been cited 978 times in 540 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
Discrete time branching processes in random environment. Zbl 1406.60005
2017
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
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
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
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
Decomposable branching processes with a fixed extinction moment. Zbl 1330.60107
Vatutin, V. A.; Dyakonova, E. E.
2015
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
Evolution of branching processes in a random environment. Zbl 1290.60086
Vatutin, V. A.; Dyakonova, E. E.; Sagitov, S.
2013
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
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
Limit theorem for an intermediate subcritical branching process in a random environment. Zbl 1068.60096
Vatutin, V. A.
2003
Reduced subcritical Galton-Watson processes in a random environment. Zbl 0938.60090
1999
A decomposable critical branching process with two types of particles. Zbl 0619.60079
Vatutin, V. A.; Sagitov, S. M.
1986
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
Convergence rate for stable weighted branching processes. Zbl 1024.60035
Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir
2002
Galton-Watson branching processes in a random environment. I: Limit theorems. Zbl 1079.60080
Vatutin, V. A.; Dyakonova, E. E.
2003
Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. Zbl 1091.60037
Vatutin, V. A.; Dyakonova, E. E.
2004
Subcritical branching processes in a random environment without the Cramer condition. Zbl 1251.60066
2012
On the survival probability for a class of subcritical branching processes in random environment. Zbl 1362.60074
2017
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 a random environment with immigration stopped at zero. Zbl 1434.60240
Dyakonova, Elena; Li, Doudou; Vatutin, Vladimir; Zhang, Mei
2020
Limit theorems for critical Markov branching processes with several types of particles and infinite second moments. Zbl 0396.60072
Vatutin, V. A.
1977
Continuous-time branching processes with decreasing state-dependent immigration. Zbl 0549.60079
Mitov, K. V.; Vatutin, V. A.; Yanev, N. M.
1984
A conditional limit theorem for a critical branching process with immigration. Zbl 0411.60081
Vatutin, V. A.
1977
Branching processes in a random environment and bottlenecks in the evolution of populations. Zbl 1114.60085
Vatutin, V. A.; Dyakonova, E. E.
2007
Discrete limit distributions of the number of particles in critical Bellman-Harris branching processes. Zbl 0391.60082
Vatutin, V. A.
1977
Branching processes. I. Zbl 0634.60070
Vatutin, V. A.; Zubkov, A. M.
1987
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
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
On distribution tails and expectations of maxima in critical branching processes. Zbl 0869.60077
Borovkov, K. A.; Vatutin, V. A.
1996
Path to survival for the critical branching processes in a random environment. Zbl 1400.60111
2017
Reduced branching processes in random environment: The critical case. Zbl 1039.60077
Vatutin, V. A.
2002
Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091
2004
Limit theorem for critical catalytic branching random walks. Zbl 1093.60062
Vatutin, V. A.; Topchii, V. A.
2005
A conditional functional limit theorem for decomposable branching processes with two types of particles. Zbl 1372.60126
Vatutin, V. A.
2017
Catalytic branching random walks in $$\mathbb Z^d$$ with branching at the origin. Zbl 1340.60134
Vatutin, V. A.; Topchii, V. A.
2011
Branching processes. I. Zbl 0608.60076
Vatutin, V. A.; Zubkov, A. M.
1985
A decomposable critical branching process with two types of particles. Zbl 0665.60086
Vatutin, V. A.; Sagitov, S. M.
1988
A critical Galton-Watson branching process with emigration. Zbl 0402.60082
Vatutin, V. A.
1977
Establishment success and extinction risk in autocorrelated environments. Zbl 1102.92052
2003
The asymptotic probability of the first degeneration for branching processes with immigration. Zbl 0321.60061
Vatutin, V. A.
1974
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
Multitype branching processes with immigration in random environment, and polling systems. Zbl 1249.60182
Vatutin, V. A.
2011
Polling systems and multitype branching processes in random environment with final product. Zbl 1244.60089
Vatutin, V. A.
2011
Reduced critical branching processes in random environment. Zbl 0942.60074
Borovkov, K. A.; Vatutin, V. A.
1997
Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078
2003
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, V. A.
1997
Multitype branching processes and some queueing systems. Zbl 1015.60076
Vatutin, V. A.; Dyakonova, E. E.
2002
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
Limit theorems for reduced branching processes in a random environment. Zbl 1154.60079
Vatutin, V. A.; Dyakonova, E. E.
2008
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
Extinction of decomposable branching processes. Zbl 1375.60130
Vatutin, Vladimir A.; Dyakonova, Elena E.
2016
Asymptotic properties of multitype critical branching processes evolving in a random environment. Zbl 1205.60152
Vatutin, V. A.; Dyakonova, E. E.
2010
Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237
Vatutin, V. A.; Topchii, V. A.
2013
Reduced two-type decomposable critical branching processes with possibly infinite variance. Zbl 1357.92053
2016
The structure of the decomposable reduced branching processes. I: Finite-dimensional distributions. Zbl 1337.60216
Vatutin, V. A.
2015
The structure of decomposable reduced branching processes. II: Functional limit theorems. Zbl 1337.60217
Vatutin, V. A.
2016
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
Multi-type subcritical branching processes in a random environment. Zbl 1431.60103
2018
The survival probability of a critical multitype Galton-Watson branching process. Zbl 0999.60081
Vatutin, V. A.; Dyakonova, E. E.
2001
Reduced branching processes in random environment. Zbl 1027.60092
2002
Multitype branching processes in random environment: probability of survival for the critical case. Zbl 1405.60131
Vatutin, V. A.; Dyakonova, E. E.
2018
Decomposable branching processes with two types of particles. Zbl 1397.60115
Vatutin, Vladimir A.; Dyakonova, Elena E.
2018
Limiting distributions in branching processes with two types of particles. Zbl 0867.60060
1997
Branching Bellman-Harris processes. (Ветвящиеся процессы Беллмана-Харриса.) Zbl 1304.60007
Vatutin, V. A.
2009
Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078
Vatutin, V. A.; Wachtel, V.; Fleischmann, K.
2008
Coalescent approximation for structured populations in a stationary random environment. Zbl 1403.92153
Sagitov, S.; Jagers, P.; Vatutin, V.
2010
Critical Bellman-Harris branching processes starting with a large number of particles. Zbl 0659.60117
Vatutin, V. A.
1986
On a class of critical Bellman-Harris branching processes with several types of particles. Zbl 0471.60085
Vatutin, V. A.
1981
Yaglom type limit theorem for branching processes in random environment. Zbl 1063.60150
2004
Convergence conditions for weighted branching processes. Zbl 1003.60078
Rösler, U.; Topchij, V. A.; Vatutin, V. A.
2000
Branching process and their application. (Ветвящиеся процессы и их применения.) Zbl 1304.60006
Vatutin, V. A.
2008
Total population size in critical branching processes in a random environment. Zbl 1288.60130
Vatutin, V. A.
2012
Limit theorems for the number of ascending segments in random permutations generated by sorting algorithms. Zbl 0801.60003
Vatutin, V. A.
1994
The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039
Vatutin, V. A.; Mikhailov, V. G.
1996
The survival probability for a class of multitype subcritical branching processes in random environment. Zbl 1461.60070
Vatutin, V. A.; D’yakonova, E. E.
2020
Multitype weakly subcritical branching processes in random environment. Zbl 1468.60103
Vatutin, Vladimir A.; Dyakonova, Elena E.
2021
Critical branching processes in random environment with immigration: survival of a single family. Zbl 1473.60125
2021
Asymptotic properties of Bellman-Harris critical branching processes starting with a large number of particles. Zbl 0736.60080
Vatutin, V. A.
1987
Sufficient conditions for regularity of Bellman-Harris branching processes. Zbl 0658.60115
Vatutin, V. A.
1987
Decomposable critical Bellman-Harris branching process with two particle types. II. Zbl 0692.60065
Vatutin, V. A.; Sagitov, S. M.
1989
Discrete limit distributions of the number of particles in multitype age- dependent branching processes. Zbl 0408.60081
Vatutin, V. A.
1979
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
On a class of limit theorems for a critical Bellman-Harris branching process. Zbl 0474.60067
Vatutin, V. A.
1981
Waves in reduced branching processes in a random environment. Zbl 1191.60125
Vatutin, V. A.; Dyakonova, E. E.
2009
A critical Bellman-Harris branching process with immigration and several types of particles. Zbl 0363.60069
Vatutin, V. A.
1976
A condition for regularity of the Bellman-Harris branching process. Zbl 0365.60078
Vatutin, V. A.
1976
The initial evolution stage of a weakly subcritical branching process in a random environment. Zbl 1432.60097
Vatutin, V. A.; Dyakonova, E. E.
2020
Reduced critical branching processes for small populations. Zbl 1442.60087
Liu, M.; Vatutin, V.
2019
On the explosiveness of nonhomogeneous age-dependent branching processes. Zbl 0948.60077
Vatutin, V. A.
1995
Deviations from typical type proportions in critical multitype Galton-Watson processes. Zbl 0988.60084
Fleischmann, K.; Vatutin, V. A.
2000
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
2002
Multitype weakly subcritical branching processes in random environment. Zbl 1468.60103
Vatutin, Vladimir A.; Dyakonova, Elena E.
2021
Critical branching processes in random environment with immigration: survival of a single family. Zbl 1473.60125
2021
Subcritical branching processes in random environment with immigration: survival of a single family. Zbl 1456.60228
Vatutin, V. A.; Dyakonova, E. E.
2021
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.
2021
Subcritical branching processes in random environment with immigration stopped at zero. Zbl 1483.60128
Li, Doudou; Vatutin, Vladimir; Zhang, Mei
2021
Branching processes in a random environment with immigration stopped at zero. Zbl 1434.60240
Dyakonova, Elena; Li, Doudou; Vatutin, Vladimir; Zhang, Mei
2020
The survival probability for a class of multitype subcritical branching processes in random environment. Zbl 1461.60070
Vatutin, V. A.; D&rsquo;yakonova, E. E.
2020
The initial evolution stage of a weakly subcritical branching process in a random environment. Zbl 1432.60097
Vatutin, V. A.; Dyakonova, E. E.
2020
Reduced critical branching processes for small populations. Zbl 1442.60087
Liu, M.; Vatutin, V.
2019
Multi-type subcritical branching processes in a random environment. Zbl 1431.60103
2018
Multitype branching processes in random environment: probability of survival for the critical case. Zbl 1405.60131
Vatutin, V. A.; Dyakonova, E. E.
2018
Decomposable branching processes with two types of particles. Zbl 1397.60115
Vatutin, Vladimir A.; Dyakonova, Elena E.
2018
Reduced critical Bellman-Harris branching processes for small populations. Zbl 1420.60112
Vatutin, Vladimir A.; Hong, Wenming; Ji, Yao
2018
Discrete time branching processes in random environment. Zbl 1406.60005
2017
On the survival probability for a class of subcritical branching processes in random environment. Zbl 1362.60074
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
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
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
Critical branching process with two types of particles evolving in asynchronous random environments. Zbl 1286.60103
Vatutin, V. A.; Liu, Q.
2013
Evolutionary branching in a stochastic population model with discrete mutational steps. Zbl 1275.92080
Sagitov, S.; Mehlig, B.; Jagers, P.; Vatutin, V.
2013
Subcritical branching processes in a random environment without the Cramer condition. Zbl 1251.60066
2012
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
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
Multitype branching processes with immigration in random environment, and polling systems. Zbl 1249.60182
Vatutin, 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 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. (Ветвящиеся процессы Беллмана-Харриса.) 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. (Ветвящиеся процессы и их применения.) 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
Limit theorem for an intermediate subcritical branching process in a random environment. Zbl 1068.60096
Vatutin, V. 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
Galton-Watson branching processes in a random environment. I: Limit theorems. Zbl 1079.60080
Vatutin, V. A.; Dyakonova, E. E.
2003
Establishment success and extinction risk in autocorrelated environments. Zbl 1102.92052
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
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
Reduced branching processes in random environment. Zbl 1027.60092
2002
The rate of convergence for weighted branching processes. Zbl 1046.60076
Rösler, Uwe; Topchii, V. A.; Vatutin, V. A.
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
An integral test for a critical multitype spatially homogeneous branching particle process and a related reaction-diffusion system. Zbl 0977.60086
2000
Linear functionals for critical multitype Galton-Watson branching processes. Zbl 0971.60082
Vatutin, V. A.
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
Reduced critical branching processes in random environment. Zbl 0942.60074
Borovkov, K. A.; Vatutin, V. A.
1997
Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076
Vatutin, V. A.; Topchij, 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
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
On distribution tails and expectations of maxima in critical branching processes. Zbl 0869.60077
Borovkov, K. A.; 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 distribution of the distance to the root of the minimal subtree containing all the vertices of a given height. Zbl 0807.60081
Vatutin, V. A.
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
...and 35 more Documents
all top 5

### Cited by 577 Authors

 48 Vatutin, Vladimir Alekseevich 21 D’yakonova, Elena Evgen’evna 14 Bulinskaya, Ekaterina Vladimirovna 13 Afanas’ev, Valeriĭ Ivanovich 13 Sagitov, Serik 12 Liu, Quansheng 12 Mota, Manuel 12 Yanev, Nikolay Mihailov 12 Yarovaya, Elena B. 11 Kersting, Götz-Dietrich 11 Molina, Manuel 10 Ball, Frank G. 10 Bansaye, Vincent 10 Gonzalez-Velasco, Miguel 10 Jagers, Peter 9 Iksanov, Aleksander M. 9 Klebaner, Fima C. 9 Le Page, Emile 9 Ramos, Alfonso 9 Wachtel, Vitali I. 8 Britton, Tom 8 Grama, Ion G. 8 Topchiĭ, Valentin Alekseevich 7 Böinghoff, Christian 7 del Puerto, Inés Maria 7 Hyrien, Ollivier 6 Alsmeyer, Gerold 6 Conceição Serra, Maria 6 Foss, Sergey G. 6 Haccou, Patsy 6 Hautphenne, Sophie 6 Li, Yingqiu 6 Rahimov, Ibrahim 5 Chen, Anyue 5 Kolesko, Konrad 5 Lauvergnat, Ronan 5 Martínez, Rodrigo 5 Minuesa, Carmen 5 Smadi, Charline 5 Yannakakis, Mihalis 4 Bacaër, Nicolas 4 Borovkov, Konstantin A. 4 Bruss, Franz Thomas 4 Etessami, Kousha 4 Hong, Wenming 4 Hu, Yueyun 4 Ivchenko, Grigoriĭ Ivanovich 4 Lambert, Amaury 4 Li, Junping 4 Liang, Xingang 4 Marynych, Alexander V. 4 Medvedev, Yuriĭ Ivanovich 4 Meiners, Matthias 4 Pardo, Juan Carlos 4 Peigné, Marc 4 Trapman, Pieter 4 Uchiyama, Kôhei 4 Xu, Wei 4 Zubkov, Andreĭ Mikhaĭlovich 3 Aidekon, Elie E. F. 3 Barbour, Andrew David 3 Buraczewski, Dariusz 3 Chigansky, Pavel 3 Denisov, Denis E. 3 Doney, Ronald Arthur 3 Ghosh, Atiyo 3 Holst, Ulla 3 Huang, Xulan 3 Johansson, Maria 3 Kim, Gene B. 3 Larsson, Sara 3 Li, Zenghu 3 Lindholm, Mathias 3 Mahmoud, Hosam M. 3 Mailler, Cécile 3 Metz, Johan A. Jacob 3 Mitov, Kosto V. 3 Oredsson, Stina 3 Palau, Sandra 3 Palmowski, Zbigniew 3 Pilshchikov, D. V. 3 Ren, Yanxia 3 Rösler, Uwe 3 Rydén, Tobias 3 Slavtchova-Bojkova, Maroussia Nikiforova 3 Song, Renming 3 Yakymiv, Arsen Lubomirovich 3 Yanev, George P. 3 Zhang, Mei 3 Zhang, Xiaoyue 2 Allen, Benjamin L. 2 Amini, Omid 2 Aurzada, Frank 2 Balashova, D. M. 2 Bichsel, Manuel 2 Bocharov, Sergey S. 2 Braunsteins, Peter 2 Caliebe, Amke 2 Casanova, Adrián González 2 Corbacho, Casimiro ...and 477 more Authors
all top 5

### Cited in 123 Serials

 36 Stochastic Processes and their Applications 29 Journal of Mathematical Biology 28 Advances in Applied Probability 28 Proceedings of the Steklov Institute of Mathematics 24 Journal of Applied Probability 17 Statistics & Probability Letters 15 Mathematical Notes 15 Theory of Probability and its Applications 15 Discrete Mathematics and Applications 15 Journal of Theoretical Biology 14 Mathematical Biosciences 14 Stochastic Models 13 Journal of Theoretical Probability 13 Matematicheskie Voprosy Kriptografii 12 Theoretical Population Biology 12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 11 The Annals of Probability 10 Probability Theory and Related Fields 8 Acta Applicandae Mathematicae 8 Methodology and Computing in Applied Probability 7 Electronic Journal of Probability 6 Journal of Statistical Physics 6 The Annals of Applied Probability 6 Electronic Communications in Probability 6 Bernoulli 5 Bulletin of Mathematical Biology 5 Journal of Soviet Mathematics 5 Stochastic Analysis and Applications 5 Stochastics and Quality Control 4 Journal of Mathematical Sciences (New York) 4 Mathematical Population Studies 3 Lithuanian Mathematical Journal 3 Queueing Systems 3 Doklady Mathematics 3 Extremes 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Statistical Mechanics: Theory and Experiment 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 Advances in Mathematics 2 Biometrical Journal 2 Biometrics 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 Communications in Statistics. Theory and Methods 2 Linear Algebra and its Applications 2 Computational Statistics and Data Analysis 2 The Electronic Journal of Combinatorics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Frontiers of Mathematics in China 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 Physica A 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 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 Journal of Multivariate Analysis 1 Mathematics of Operations Research 1 SIAM Journal on Computing 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Advances in Applied Mathematics 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 Discrete Event Dynamic Systems 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Automation and Remote Control 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Test 1 St. Petersburg Mathematical Journal 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of the ACM ...and 23 more Serials
all top 5

### Cited in 32 Fields

 487 Probability theory and stochastic processes (60-XX) 141 Biology and other natural sciences (92-XX) 60 Statistics (62-XX) 37 Combinatorics (05-XX) 20 Operations research, mathematical programming (90-XX) 16 Numerical analysis (65-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Computer science (68-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Information and communication theory, circuits (94-XX) 6 Systems theory; control (93-XX) 3 Group theory and generalizations (20-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX)