Edit Profile (opens in new tab) Vatutin, Vladimir Alekseevich Co-Author Distance 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: 189 Publications since 1974, including 5 Books and 6 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 113 Reviews Biographic References: 3 Publications Co-Authors: 53 Co-Authors with 127 Joint Publications 1,638 Co-Co-Authors all top 5 Co-Authors 65 single-authored 36 D’yakonova, Elena Evgen’evna 19 Topchiĭ, Valentin Alekseevich 16 Sagitov, Serik 7 Mikhaĭlov, Vladimir Gavrilovich 6 Fleischmann, Klaus 6 Kersting, Götz-Dietrich 6 Wachtel, Vitali I. 5 Jagers, Peter 5 Rösler, Uwe 5 Smadi, Charline 5 Zubkov, Andreĭ Mikhaĭlovich 4 Afanas’ev, Valeriĭ Ivanovich 4 Borovkov, Konstantin A. 4 Geiger, Jochen 4 Yanev, Nikolaĭ Mihaĭlov 3 Dong, Congzao 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, Minzhi 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 Alimov, Alexey R. 1 Asmussen, Søren 1 Borisov, Igor Semenovich 1 Chebotarev, Vladimir I. 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 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 48 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 4 Matematicheskie Voprosy Kriptografii 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 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 Stochastic Models 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 179 Probability theory and stochastic processes (60-XX) 8 Biology and other natural sciences (92-XX) 7 History and biography (01-XX) 7 Combinatorics (05-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 1,148 times in 613 Documents Cited by ▼ Year ▼ Branching processes. Variation, growth, and extinction of populations. Zbl 1118.92001 Haccou, Patsy; Jagers, Peter; Vatutin, Vladimir A. 205 2005 Criticality for branching processes in random environment. Zbl 1075.60107 Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A. 74 2005 Discrete time branching processes in random environment. Zbl 1406.60005 Kersting, Götz; Vatutin, Vladimir 45 2017 Local probabilities for random walks conditioned to stay positive. Zbl 1158.60014 Vatutin, Vladimir A.; Wachtel, Vitali 43 2009 Limit theorems for subcritical branching processes in random environment. Zbl 1038.60083 Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A. 38 2003 Conditional limit theorems for intermediately subcritical branching processes in random environment. Zbl 1290.60083 Afanasyev, V. I.; Böinghoff, Ch.; Kersting, G.; Vatutin, V. A. 27 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. 24 2005 Branching processes. II. Zbl 0846.60083 Vatutin, V. A.; Zubkov, A. M. 23 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. 21 1982 Decomposable branching processes with a fixed extinction moment. Zbl 1330.60107 Vatutin, V. A.; Dyakonova, E. E. 16 2015 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 16 2011 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. 14 2003 On the survival probability for a class of subcritical branching processes in random environment. Zbl 1362.60074 Bansaye, Vincent; Vatutin, Vladimir 12 2017 Evolution of branching processes in a random environment. Zbl 1290.60086 Vatutin, V. A.; Dyakonova, E. E.; Sagitov, S. 12 2013 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. 11 1982 Reduced subcritical Galton-Watson processes in a random environment. Zbl 0938.60090 Fleischmann, Klaus; Vatutin, Vladimir A. 11 1999 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. 11 2004 On the asymptotic behaviour of random recursive trees in random environments. Zbl 1107.05082 Borovkov, K. A.; Vatutin, V. A. 11 2006 Subcritical branching processes in a random environment without the Cramer condition. Zbl 1251.60066 Vatutin, Vladimir; Zheng, Xinghua 11 2012 Branching processes in a random environment with immigration stopped at zero. Zbl 1434.60240 Dyakonova, Elena; Li, Doudou; Vatutin, Vladimir; Zhang, Mei 11 2020 A conditional functional limit theorem for decomposable branching processes with two types of particles. Zbl 1372.60126 Vatutin, V. A. 10 2017 Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. Zbl 1091.60037 Vatutin, V. A.; Dyakonova, E. E. 10 2004 Galton-Watson branching processes in a random environment. I: Limit theorems. Zbl 1079.60080 Vatutin, V. A.; Dyakonova, E. E. 10 2003 Limit theorem for an intermediate subcritical branching process in a random environment. Zbl 1068.60096 Vatutin, V. A. 10 2003 Convergence rate for stable weighted branching processes. Zbl 1024.60035 Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir 10 2002 Branching processes in random environment which extinct at a given moment. Zbl 1204.60086 Böinghoff, C.; Dyakonova, E. E.; Kersting, G.; Vatutin, V. A. 10 2010 A decomposable critical branching process with two types of particles. Zbl 0619.60079 Vatutin, V. A.; Sagitov, S. M. 9 1986 A conditional limit theorem for a critical branching process with immigration. Zbl 0411.60081 Vatutin, V. A. 9 1977 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. 9 2015 Branching processes. I. Zbl 0634.60070 Vatutin, V. A.; Zubkov, A. M. 8 1987 Branching processes in a random environment and bottlenecks in the evolution of populations. Zbl 1114.60085 Vatutin, V. A.; Dyakonova, E. E. 8 2007 Continuous-time branching processes with decreasing state-dependent immigration. Zbl 0549.60079 Mitov, K. V.; Vatutin, V. A.; Yanev, N. M. 8 1984 Multitype branching processes with immigration in random environment, and polling systems. Zbl 1249.60182 Vatutin, V. A. 8 2011 Limit theorem for critical catalytic branching random walks. Zbl 1093.60062 Vatutin, V. A.; Topchii, V. A. 8 2005 Branching processes. I. Zbl 0608.60076 Vatutin, V. A.; Zubkov, A. M. 8 1985 Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091 Topchii, Valentin; Vatutin, Vladimir 8 2004 Limit theorems for critical Markov branching processes with several types of particles and infinite second moments. Zbl 0396.60072 Vatutin, V. A. 8 1977 A critical Galton-Watson branching process with emigration. Zbl 0402.60082 Vatutin, V. A. 8 1977 Catalytic branching random walks in \(\mathbb Z^d\) with branching at the origin. Zbl 1340.60134 Vatutin, V. A.; Topchii, V. A. 8 2011 A decomposable branching process in a Markovian environment. Zbl 1411.60126 Vatutin, Vladimir; Dyakonova, Elena; Jagers, Peter; Sagitov, Serik 8 2012 A decomposable critical branching process with two types of particles. Zbl 0665.60086 Vatutin, V. A.; Sagitov, S. M. 7 1988 Some limit theorems for a particle system of single point catalytic branching random walks. Zbl 1129.60079 Vatutin, Vladimir; Xiong, Jie 7 2007 Reduced critical branching processes in random environment. Zbl 0942.60074 Borovkov, K. A.; Vatutin, V. A. 7 1997 Polling systems and multitype branching processes in random environment with final product. Zbl 1244.60089 Vatutin, V. A. 7 2011 The numbers of ascending segments in a random permutation and in the inverse to it are asymptotically independent. Zbl 0847.05002 Vatutin, V. A. 7 1996 Reduced branching processes in random environment: The critical case. Zbl 1039.60077 Vatutin, V. A. 7 2002 Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078 Topchii, Valentin; Vatutin, Vladimir 7 2003 On distribution tails and expectations of maxima in critical branching processes. Zbl 0869.60077 Borovkov, K. A.; Vatutin, V. A. 7 1996 Discrete limit distributions of the number of particles in critical Bellman-Harris branching processes. Zbl 0391.60082 Vatutin, V. A. 7 1977 The structure of the decomposable reduced branching processes. I: Finite-dimensional distributions. Zbl 1337.60216 Vatutin, V. A. 7 2015 Path to survival for the critical branching processes in a random environment. Zbl 1400.60111 Vatutin, Vladimir; Dyakonova, Elena 7 2017 Branching process and their application. (Ветвящиеся процессы и их применения.) Zbl 1304.60006 Vatutin, V. A. 7 2008 Multi-type subcritical branching processes in a random environment. Zbl 1431.60103 Vatutin, Vladimir; Wachtel, Vitali 7 2018 Branching random walk in \(\mathbb{Z}^{4}\) with branching at the origin only. Zbl 1272.60061 Hu, Y.; Topchii, V. A.; Vatutin, V. A. 7 2012 Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076 Vatutin, V. A.; Topchij, V. A. 6 1997 Multitype branching processes and some queueing systems. Zbl 1015.60076 Vatutin, V. A.; Dyakonova, E. E. 6 2002 The asymptotic probability of the first degeneration for branching processes with immigration. Zbl 0321.60061 Vatutin, V. A. 6 1974 Establishment success and extinction risk in autocorrelated environments. Zbl 1102.92052 Haccou, Patsy; Vatutin, Vladimir 6 2003 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. 6 1980 Reduced two-type decomposable critical branching processes with possibly infinite variance. Zbl 1357.92053 Smadi, C.; Vatutin, V. A. 6 2016 Limit theorems for reduced branching processes in a random environment. Zbl 1154.60079 Vatutin, V. A.; Dyakonova, E. E. 6 2008 Asymptotic properties of multitype critical branching processes evolving in a random environment. Zbl 1205.60152 Vatutin, V. A.; Dyakonova, E. E. 6 2010 Multitype branching processes in random environment: probability of survival for the critical case. Zbl 1405.60131 Vatutin, V. A.; Dyakonova, E. E. 6 2018 Statistical estimation of the entropy of discrete random variables with a large number of outcomes. Zbl 0851.62009 Vatutin, V. A.; Mikhailov, V. G. 5 1995 Limit theorems for decomposable branching processes in a random environment. Zbl 1326.60144 Vatutin, Vladimir; Liu, Quansheng 5 2015 Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078 Vatutin, V. A.; Wachtel, V.; Fleischmann, K. 5 2008 The structure of decomposable reduced branching processes. II: Functional limit theorems. Zbl 1337.60217 Vatutin, V. A. 5 2016 Extinction of decomposable branching processes. Zbl 1375.60130 Vatutin, Vladimir A.; Dyakonova, Elena E. 5 2016 Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237 Vatutin, V. A.; Topchii, V. A. 5 2013 Coalescent approximation for structured populations in a stationary random environment. Zbl 1403.92153 Sagitov, S.; Jagers, P.; Vatutin, V. 5 2010 Decomposable branching processes with two types of particles. Zbl 1397.60115 Vatutin, Vladimir A.; Dyakonova, Elena E. 4 2018 The survival probability of a critical multitype Galton-Watson branching process. Zbl 0999.60081 Vatutin, V. A.; Dyakonova, E. E. 4 2001 Critical Bellman-Harris branching processes starting from a large number of particles. Zbl 0621.60092 Vatutin, V. A. 4 1986 Limiting distributions in branching processes with two types of particles. Zbl 0867.60060 Drmota, Michael; Vatutin, Vladimir 4 1997 Distance to the nearest common ancestor in Bellman-Harris branching processes. Zbl 0437.60062 Vatutin, V. A. 4 1979 Limit theorems for the number of ascending segments in random permutations generated by sorting algorithms. Zbl 0801.60003 Vatutin, V. A. 4 1994 Reduced branching processes in random environment. Zbl 1027.60092 Vatutin, Vladimir; Dyakonova, Elena 4 2002 The survival probability for a class of multitype subcritical branching processes in random environment. Zbl 1461.60070 Vatutin, V. A.; D’yakonova, E. E. 4 2020 Branching Bellman-Harris processes. (Ветвящиеся процессы Беллмана-Харриса.) Zbl 1304.60007 Vatutin, V. A. 4 2009 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 Critical Bellman-Harris branching processes starting with a large number of particles. Zbl 0659.60117 Vatutin, V. A. 3 1986 Critical branching processes in random environment: The probability of extinction at a given moment. Zbl 0977.60088 Vatutin, V. A.; Dyakonova, E. E. 3 1997 Convergence conditions for weighted branching processes. Zbl 1003.60078 Rösler, U.; Topchij, V. A.; Vatutin, V. A. 3 2000 On a class of critical Bellman-Harris branching processes with several types of particles. Zbl 0471.60085 Vatutin, V. A. 3 1981 The rate of convergence for weighted branching processes. Zbl 1046.60076 Rösler, Uwe; Topchii, V. A.; Vatutin, V. A. 3 2002 Yaglom type limit theorem for branching processes in random environment. Zbl 1063.60150 Vatutin, Vladimir; Dyakonova, Elena 3 2004 Critical decomposable Bellman-Harris processes with two types of particles. Zbl 0715.60107 Vatutin, V. A.; Sagitov, S. M 3 1988 The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039 Vatutin, V. A.; Mikhailov, V. G. 3 1996 Subcritical branching processes in random environment. Zbl 1354.60103 Vatutin, Vladimir 3 2016 Multitype branching processes with immigration in random environment, and polling systems. Zbl 1335.60161 Vatutin, V. A. 3 2011 Local probabilities for random walks with negative drift conditioned to stay nonnegative. Zbl 1307.60050 Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali 3 2014 Total population size in critical branching processes in a random environment. Zbl 1288.60130 Vatutin, V. A. 3 2012 Subcritical branching processes in random environment with immigration stopped at zero. Zbl 1483.60128 Li, Doudou; Vatutin, Vladimir; Zhang, Mei 3 2021 Multitype weakly subcritical branching processes in random environment. Zbl 1468.60103 Vatutin, Vladimir A.; Dyakonova, Elena E. 3 2021 Reduced critical branching processes for small populations. Zbl 1442.60087 Liu, M.; Vatutin, V. 3 2019 Sufficient conditions for regularity of Bellman-Harris branching processes. Zbl 0658.60115 Vatutin, V. A. 2 1987 On the explosiveness of nonhomogeneous age-dependent branching processes. Zbl 0948.60077 Vatutin, V. A. 2 1995 Decomposable critical Bellman-Harris branching process with two particle types. II. Zbl 0692.60065 Vatutin, V. A.; Sagitov, S. M. 2 1989 Deviations from typical type proportions in critical multitype Galton-Watson processes. Zbl 0988.60084 Fleischmann, K.; Vatutin, V. A. 2 2000 Waves in reduced branching processes in a random environment. Zbl 1191.60125 Vatutin, V. A.; Dyakonova, E. E. 2 2009 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 Subcritical branching processes in random environment with immigration stopped at zero. Zbl 1483.60128 Li, Doudou; Vatutin, Vladimir; Zhang, Mei 3 2021 Multitype weakly subcritical branching processes in random environment. Zbl 1468.60103 Vatutin, Vladimir A.; Dyakonova, Elena E. 3 2021 Critical branching processes in random environment with immigration: survival of a single family. Zbl 1473.60125 Smadi, Charline; Vatutin, Vladimir 2 2021 Subcritical branching processes in random environment with immigration: survival of a single family. Zbl 1456.60228 Vatutin, V. A.; Dyakonova, E. E. 2 2021 Branching processes in a random environment with immigration stopped at zero. Zbl 1434.60240 Dyakonova, Elena; Li, Doudou; Vatutin, Vladimir; Zhang, Mei 11 2020 The survival probability for a class of multitype subcritical branching processes in random environment. Zbl 1461.60070 Vatutin, V. A.; D’yakonova, E. E. 4 2020 The initial evolution stage of a weakly subcritical branching process in a random environment. Zbl 1432.60097 Vatutin, V. A.; Dyakonova, E. E. 2 2020 Critical branching processes in random environment and Cauchy domain of attraction. Zbl 1469.60270 Dong, C.; Smadi, C.; Vatutin, V. A. 1 2020 Reduced critical branching processes for small populations. Zbl 1442.60087 Liu, M.; Vatutin, V. 3 2019 Limit theorems for supercritical MBPRE with linear fractional offspring distributions. Zbl 1423.60129 Hong, Wenming; Liu, Minzhi; Vatutin, Vladimir 2 2019 Asymptotic properties of the inversion number in colored trees. Zbl 1473.05056 Vatutin, V. A. 1 2019 Multi-type subcritical branching processes in a random environment. Zbl 1431.60103 Vatutin, Vladimir; Wachtel, Vitali 7 2018 Multitype branching processes in random environment: probability of survival for the critical case. Zbl 1405.60131 Vatutin, V. A.; Dyakonova, E. E. 6 2018 Decomposable branching processes with two types of particles. Zbl 1397.60115 Vatutin, Vladimir A.; Dyakonova, Elena E. 4 2018 Reduced critical Bellman-Harris branching processes for small populations. Zbl 1420.60112 Vatutin, Vladimir A.; Hong, Wenming; Ji, Yao 1 2018 Discrete time branching processes in random environment. Zbl 1406.60005 Kersting, Götz; Vatutin, Vladimir 45 2017 On the survival probability for a class of subcritical branching processes in random environment. Zbl 1362.60074 Bansaye, Vincent; Vatutin, Vladimir 12 2017 A conditional functional limit theorem for decomposable branching processes with two types of particles. Zbl 1372.60126 Vatutin, V. A. 10 2017 Path to survival for the critical branching processes in a random environment. Zbl 1400.60111 Vatutin, Vladimir; Dyakonova, Elena 7 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 Reduced two-type decomposable critical branching processes with possibly infinite variance. Zbl 1357.92053 Smadi, C.; Vatutin, V. A. 6 2016 The structure of decomposable reduced branching processes. II: Functional limit theorems. Zbl 1337.60217 Vatutin, V. A. 5 2016 Extinction of decomposable branching processes. Zbl 1375.60130 Vatutin, Vladimir A.; Dyakonova, Elena E. 5 2016 Subcritical branching processes in random environment. Zbl 1354.60103 Vatutin, Vladimir 3 2016 Decomposable branching processes with a fixed extinction moment. Zbl 1330.60107 Vatutin, V. A.; Dyakonova, E. E. 16 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. 9 2015 The structure of the decomposable reduced branching processes. I: Finite-dimensional distributions. Zbl 1337.60216 Vatutin, V. A. 7 2015 Limit theorems for decomposable branching processes in a random environment. Zbl 1326.60144 Vatutin, Vladimir; Liu, Quansheng 5 2015 A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180 Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin 1 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. 27 2014 Local probabilities for random walks with negative drift conditioned to stay nonnegative. Zbl 1307.60050 Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali 3 2014 A key renewal theorem for heavy tail distributions with \({\beta\in(0,0.5]}\). Zbl 1316.60134 Vatutin, V.; Topchii, V. 2 2014 Random walk with heavy tail and negative drift conditioned by its minimum and final values. Zbl 1320.60106 Bansaye, V.; Vatutin, V. 1 2014 Evolution of branching processes in a random environment. Zbl 1290.60086 Vatutin, V. A.; Dyakonova, E. E.; Sagitov, S. 12 2013 Critical Bellman-Harris branching processes with long-living particles. Zbl 1296.60237 Vatutin, V. A.; Topchii, V. A. 5 2013 Critical branching process with two types of particles evolving in asynchronous random environments. Zbl 1286.60103 Vatutin, V. A.; Liu, Q. 1 2013 Evolutionary branching in a stochastic population model with discrete mutational steps. Zbl 1275.92080 Sagitov, S.; Mehlig, B.; Jagers, P.; Vatutin, V. 1 2013 Subcritical branching processes in a random environment without the Cramer condition. Zbl 1251.60066 Vatutin, Vladimir; Zheng, Xinghua 11 2012 A decomposable branching process in a Markovian environment. Zbl 1411.60126 Vatutin, Vladimir; Dyakonova, Elena; Jagers, Peter; Sagitov, Serik 8 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. 7 2012 Total population size in critical branching processes in a random environment. Zbl 1288.60130 Vatutin, V. A. 3 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 16 2011 Multitype branching processes with immigration in random environment, and polling systems. Zbl 1249.60182 Vatutin, V. A. 8 2011 Catalytic branching random walks in \(\mathbb Z^d\) with branching at the origin. Zbl 1340.60134 Vatutin, V. A.; Topchii, V. A. 8 2011 Polling systems and multitype branching processes in random environment with final product. Zbl 1244.60089 Vatutin, V. A. 7 2011 Multitype branching processes with immigration in random environment, and polling systems. Zbl 1335.60161 Vatutin, V. A. 3 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. 10 2010 Asymptotic properties of multitype critical branching processes evolving in a random environment. Zbl 1205.60152 Vatutin, V. A.; Dyakonova, E. E. 6 2010 Coalescent approximation for structured populations in a stationary random environment. Zbl 1403.92153 Sagitov, S.; Jagers, P.; Vatutin, V. 5 2010 Local probabilities for random walks conditioned to stay positive. Zbl 1158.60014 Vatutin, Vladimir A.; Wachtel, Vitali 43 2009 Branching Bellman-Harris processes. (Ветвящиеся процессы Беллмана-Харриса.) Zbl 1304.60007 Vatutin, V. A. 4 2009 Waves in reduced branching processes in a random environment. Zbl 1191.60125 Vatutin, V. A.; Dyakonova, E. E. 2 2009 Sudden extinction of a critical branching process in a random environment. Zbl 1205.60153 Vatutin, V. A.; Wachtel, V. 2 2009 Branching process and their application. (Ветвящиеся процессы и их применения.) Zbl 1304.60006 Vatutin, V. A. 7 2008 Limit theorems for reduced branching processes in a random environment. Zbl 1154.60079 Vatutin, V. A.; Dyakonova, E. E. 6 2008 Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078 Vatutin, V. A.; Wachtel, V.; Fleischmann, K. 5 2008 Branching processes in random environment die slowly. Zbl 1357.60094 Vatutin, Vladimir A.; Kyprianou, Andreas E. 1 2008 Branching processes in a random environment and bottlenecks in the evolution of populations. Zbl 1114.60085 Vatutin, V. A.; Dyakonova, E. E. 8 2007 Some limit theorems for a particle system of single point catalytic branching random walks. Zbl 1129.60079 Vatutin, Vladimir; Xiong, Jie 7 2007 On the asymptotic behaviour of random recursive trees in random environments. Zbl 1107.05082 Borovkov, K. A.; Vatutin, V. A. 11 2006 Branching processes. Variation, growth, and extinction of populations. Zbl 1118.92001 Haccou, Patsy; Jagers, Peter; Vatutin, Vladimir A. 205 2005 Criticality for branching processes in random environment. Zbl 1075.60107 Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A. 74 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. 24 2005 Limit theorem for critical catalytic branching random walks. Zbl 1093.60062 Vatutin, V. A.; Topchii, V. A. 8 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. 11 2004 Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. Zbl 1091.60037 Vatutin, V. A.; Dyakonova, E. E. 10 2004 Two-dimensional limit theorem for a critical catalytic branching random walk. Zbl 1062.60091 Topchii, Valentin; Vatutin, Vladimir 8 2004 Yaglom type limit theorem for branching processes in random environment. Zbl 1063.60150 Vatutin, Vladimir; Dyakonova, Elena 3 2004 Limit theorems for subcritical branching processes in random environment. Zbl 1038.60083 Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A. 38 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. 14 2003 Galton-Watson branching processes in a random environment. I: Limit theorems. Zbl 1079.60080 Vatutin, V. A.; Dyakonova, E. E. 10 2003 Limit theorem for an intermediate subcritical branching process in a random environment. Zbl 1068.60096 Vatutin, V. A. 10 2003 Individuals at the origin in the critical catalytic branching random walk. Zbl 1034.60078 Topchii, Valentin; Vatutin, Vladimir 7 2003 Establishment success and extinction risk in autocorrelated environments. Zbl 1102.92052 Haccou, Patsy; Vatutin, Vladimir 6 2003 Convergence rate for stable weighted branching processes. Zbl 1024.60035 Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir 10 2002 Reduced branching processes in random environment: The critical case. Zbl 1039.60077 Vatutin, V. A. 7 2002 Multitype branching processes and some queueing systems. Zbl 1015.60076 Vatutin, V. A.; Dyakonova, E. E. 6 2002 Reduced branching processes in random environment. Zbl 1027.60092 Vatutin, Vladimir; Dyakonova, Elena 4 2002 The rate of convergence for weighted branching processes. Zbl 1046.60076 Rösler, Uwe; Topchii, V. A.; Vatutin, V. A. 3 2002 Branching systems with long-living particles at the critical dimension. Zbl 1036.60074 Fleischmann, K.; Vatutin, V. A.; Wakolbinger, A. 1 2002 The survival probability of a critical multitype Galton-Watson branching process. Zbl 0999.60081 Vatutin, V. A.; Dyakonova, E. E. 4 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. 3 2000 Deviations from typical type proportions in critical multitype Galton-Watson processes. Zbl 0988.60084 Fleischmann, K.; Vatutin, V. A. 2 2000 An integral test for a critical multitype spatially homogeneous branching particle process and a related reaction-diffusion system. Zbl 0977.60086 Fleischmann, Klaus; Vatutin, Vladimir A. 1 2000 Linear functionals for critical multitype Galton-Watson branching processes. Zbl 0971.60082 Vatutin, V. A. 1 2000 Reduced subcritical Galton-Watson processes in a random environment. Zbl 0938.60090 Fleischmann, Klaus; Vatutin, Vladimir A. 11 1999 Spatial branching populations with long individual lifetimes. Zbl 0963.60088 Vatutin, V.; Wakolbinger, A. 1 1998 Reduced critical branching processes in random environment. Zbl 0942.60074 Borovkov, K. A.; Vatutin, V. A. 7 1997 Maximum of the critical Galton-Watson processes and left-continuous random walks. Zbl 0909.60076 Vatutin, V. A.; Topchij, V. A. 6 1997 Limiting distributions in branching processes with two types of particles. Zbl 0867.60060 Drmota, Michael; Vatutin, Vladimir 4 1997 Critical branching processes in random environment: The probability of extinction at a given moment. Zbl 0977.60088 Vatutin, V. A.; Dyakonova, E. E. 3 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. 7 1996 On distribution tails and expectations of maxima in critical branching processes. Zbl 0869.60077 Borovkov, K. A.; Vatutin, V. A. 7 1996 The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039 Vatutin, V. A.; Mikhailov, V. G. 3 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. 5 1995 On the explosiveness of nonhomogeneous age-dependent branching processes. Zbl 0948.60077 Vatutin, V. A. 2 1995 Limit theorems for the number of ascending segments in random permutations generated by sorting algorithms. Zbl 0801.60003 Vatutin, V. A. 4 1994 Branching processes. II. Zbl 0846.60083 Vatutin, V. A.; Zubkov, A. M. 23 1993 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 672 Authors 53 Vatutin, Vladimir Alekseevich 24 D’yakonova, Elena Evgen’evna 17 Liu, Quansheng 15 Afanas’ev, Valeriĭ Ivanovich 15 Mota, Manuel 15 Sagitov, Serik 14 Bulinskaya, Ekaterina Vladimirovna 14 Yanev, Nikolaĭ Mihaĭlov 13 Gonzalez-Velasco, Miguel 13 Yarovaya, Elena B. 12 Jagers, Peter 12 Molina, Manuel 11 Grama, Ion G. 11 Kersting, Götz-Dietrich 10 Ball, Frank G. 10 Bansaye, Vincent 10 Iksanov, Aleksander M. 10 Klebaner, Fima C. 9 Britton, Tom 9 Le Page, Emile 9 Ramos, Alfonso 9 Wachtel, Vitali I. 8 del Puerto, Inés Maria 8 Hyrien, Ollivier 8 Topchiĭ, Valentin Alekseevich 7 Böinghoff, Christian 6 Alsmeyer, Gerold 6 Conceição Serra, Maria 6 Foss, Sergey G. 6 Haccou, Patsy 6 Hautphenne, Sophie 6 Li, Junping 6 Li, Yingqiu 6 Marynych, Alexander V. 6 Minuesa, Carmen 6 Rahimov, Ibrahim 6 Smadi, Charline 6 Yannakakis, Mihalis 5 Chen, Anyue 5 Etessami, Kousha 5 Hong, Wenming 5 Huang, Chunmao 5 Kolesko, Konrad 5 Lauvergnat, Ronan 5 Martínez, Rodrigo 5 Peigné, Marc 4 Bacaër, Nicolas 4 Borovkov, Konstantin A. 4 Bruss, Franz Thomas 4 Buraczewski, Dariusz 4 Chigansky, Pavel 4 Hamza, Kais 4 Hu, Yueyun 4 Ivchenko, Grigoriĭ Ivanovich 4 Lambert, Amaury 4 Liang, Xingang 4 Medvedev, Yuriĭ Ivanovich 4 Meiners, Matthias 4 Metz, Johan A. Jacob 4 Palau, Sandra 4 Pardo, Juan Carlos 4 Slavtchova-Bojkova, Maroussia Nikiforova 4 Trapman, Pieter 4 Uchiyama, Kôhei 4 Wang, Xiaoqiang 4 Xu, Wei 4 Zhang, Mei 4 Zubkov, Andreĭ Mikhaĭlovich 3 Aidekon, Elie E. F. 3 Barbour, Andrew David 3 Denisov, Denis E. 3 Doney, Ronald Arthur 3 Gao, Zhiqiang 3 Ghosh, Atiyo 3 Holst, Ulla 3 Huang, Xulan 3 Iyer, Tejas 3 Johansson, Maria 3 Kabluchko, Zakhar A. 3 Kevei, Péter 3 Khusanbaev, Ya. M. 3 Kim, Gene B. 3 Kudratov, Khamza E. 3 Larsson, Sara 3 Li, Doudou 3 Li, Zenghu 3 Lindholm, Mathias 3 Ma, Shixia 3 Mahmoud, Hosam M. 3 Mailler, Cécile 3 Mitov, Kosto V. 3 Oredsson, Stina 3 Palmowski, Zbigniew 3 Pilshchikov, D. V. 3 Ren, Yanxia 3 Roberts, Matthew Iain 3 Rösler, Uwe 3 Rydén, Tobias 3 Sénizergues, Delphin 3 Song, Renming ...and 572 more Authors all top 5 Cited in 137 Serials 39 Stochastic Processes and their Applications 31 Journal of Mathematical Biology 30 Advances in Applied Probability 28 Proceedings of the Steklov Institute of Mathematics 26 Journal of Applied Probability 19 Theory of Probability and its Applications 19 Statistics & Probability Letters 17 Stochastic Models 17 Journal of Theoretical Biology 15 Mathematical Biosciences 15 Mathematical Notes 15 Discrete Mathematics and Applications 14 Theoretical Population Biology 13 Journal of Theoretical Probability 13 Annales de l’Institut Henri Poincaré. 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