01.01.05 (Probability theory and mathematical statistics)
E-mail:
Keywords:
age-dependent branching processes,
branching processes in random environment,
random permutations,
random trees,
local limit theorems.
Subject:
Branching processes, probabilistic problems of discrete mathematics.
Biography
Graduated from the faculty of Mechanics and Mathematics of the Moscow Lomonosov State University in 1974. A Phd student of the Steklov Mathematical Institute of the Academy of Sciences of the USSR from 1974 till 1977. From 1977 till now a researcher of the Steklov Mathematical Institute of the Academy of Scineces of the USSR and the Russian Academy of Sciences. Defended the PhD dissertation "Limit theorems for branching processes" in 1977 (the superwiser — B. A. Sevastyanov). Has a doctor degree in mathematics ("Critical branching processes with regularly varying generating functions" (defended in 1987). Vatutin has got in 1988 an award of the Academy of Sciences of the USSR for important results in mathematics.
A member of the Editorial Board of the journals "Theory of Probability and its Applications" (1994–present time), "Markov processes and related fields" (2003–present time), "Discrete Mathematics and Applications" (2014–present time), "Pliska Studia Mathematica Bulgarica" (2015–present time) "Stochastic processes and their Applications" (2002–2004).
Main publications:
Haccou P., Jagers P., Vatutin V.A., Branching processes in
biology: Evolution, Growth and Extinction., Cambridge Series in Adaptive Dynamics, 5, Cambridge University Press, Cambridge, 2005, 316 pp.
Vatutin V.A., “Sufficient condition for the regularity of Bellman-Harris branching processes”, Theory of Probability and its Applications, 31:1 (1987), 50–57
Afanasyev V.I., Geiger J., Kersting G., Vatutin V.A., “Criticality for branching processes in random environment”, Annals of Probability, 33:2 (2005), 645–673
Vatutin V.A., Wachtel V., “Local probabilities for random walks
conditioned to stay positive”, Probabability Theory and Related Fields, 143:1-2 (2009), 177–217
Götz Kersting, Vladimir Vatutin, Discrete time branching processes in random environment, Wiley, New Jersey, USA, 2017, 306 pp.
Minzhi Liu, Vladimir Vatutin, Reduced critical processes for small populations, 2018 , 10 pp., arXiv: 1801.03217
2.
V. A. Vatutin, E. E. D'yakonova, “Decomposable branching processes with two types of particles”, Discrete Math. Appl., 28:2 (2018), 119–130 (cited: 1)
3.
V. A. Vatutin,, “Reduced critical branching processes for small populations”, Teor. Veroyatnost. i Primenen.
2018
4.
V. A. Vatutin, W. Hong, Ya. Ji, “Reduced critical Bellman–Harris branching processes for small populations”, Discrete Math. Appl., 28:5 (2018), 319–330
2017
5.
Vincent Bansaye, Vladimir Vatutin, “On the survival probability for a class of subcritical branching processes in random environment”, Bernoulli, 23:1 (2017), 58–88 , arXiv: 1307.3963 (cited: 1) (cited: 1)
6.
V. A. Vatutin, “A Conditional Functional Limit Theorem for Decomposable Branching Processes with Two Types of Particles”, Math. Notes, 101:5 (2017), 778–789 (cited: 5) (cited: 2)
7.
Vladimir Vatutin, Elena Dyakonova, “Path to survival for the critical branching processes in a random environment”, J. Appl. Probab., 54:2 (2017), 588–602 , arXiv: 1603.03199 (cited: 1) (cited: 1)
2018
8.
V. A. Vatutin, E. E. D'yakonova, “Multitype branching processes in random environment: survival probability for the critical case”, Theory Probab. Appl., 62:4 (2018), 506–521 (cited: 1)
Wenming Hong, Minzhi Liu, Vladimir Vatutin, Limit theorems for supercritical MBPRE with linear fractional offspring distributions, 2017 , 25 pp., arXiv: 1710.08724
11.
Valentin Topchii, Vladimir Vatutin, “Moments for multitype critical Bellman-Harris processes with long-living particles”, 39-th conference on Stochastic Processes and Their Applications (Moskva, 23–27 iyulya 2017 g.), Moskva, 2017, 116http://www.spa2017.org/images/upload_slides/Book-of-abstracts.pdf
12.
V. A. Vatutin, V. A. Topchii, “Moments of multitype critical Bellman–Harris processes in which tails of life-length distributions of particles have different orders”, Sib. Èlektron. Mat. Izv., 14 (2017), 1248–1264
13.
Vladimir Vatutin, Vitali Wachtel, Subcritical multitype branching process in random environment, 2017 , 9 pp., Prinyata k publikatsii v zhurnal Advances in Applied Probabilty, Special Volume 50A (2018), arXiv: 1711.07453
2016
14.
C. Smadi, V. A. Vatutin, “Reduced two-type decomposable critical branching processes with possibly infinite variance”, Markov Processes Relat. Fields, 22:2 (2016), 311–358 , arXiv: 1508.06653 (cited: 3)
15.
V. A. Vatutin, E. E. Dyakonova, How many families survive for a long time?, 2016 , 23 pp., arXiv: 1608.08062
16.
Vladimir Vatutin, “Subcritical Branching Processes in Random Environment”, Workshop on Branching Processes and their Applications, WBPA 2015 (Badajoz (Spain), 6–11 April, 2015), Lecture Notes in Stat., 219, eds. I. M. del Puerto et al., 2016, 97–115 (cited: 2) (cited: 2)
2017
17.
V. A. Vatutin, E. E. D'yakonova, “How many families survive for a long time?”, Theory Probab. Appl., 61:4 (2017), 692–711
2016
18.
S. A. Aivazyan, V. B. Alekseev, V. A. Vatutin, M. M. Glukhov, A. A. Grusho, V. A. Emelichev, A. M. Zubkov, G. I. Ivchenko, O. M. Kasim-zade, V. A. Kashtanov, I. N. Kovalenko, V. B. Kudryavtsev, V. V. Mazalov, Yu. V. Matiyasevich, Yu. I. Medvedev, V. G. Mikhailov, Yu. L. Pavlov, B. A. Pogorelov, È. A. Primenko, L. Ya. Savel'ev, V. N. Sachkov, S. A. Stepanov, V. P. Chistyakov, V. N. Chubarikov, Diskr. Mat., 28:4 (2016), 3–5
2015
19.
V. Vatutin, A. Iksanov, V. Topchii, “A two-type Bellman–Harris process initiated by a large number of particles”, Acta Appl. Math., 138:1 (2015), 279–312 , arXiv: 1311.1060 (cited: 1)
20.
Vladimir Vatutin, Quansheng Liu, “Limit theorems for decomposable branching processes in a random environment”, J. Appl. Probab., 52:3 (2015), 877–893 , arXiv: 1403.0746 (cited: 2)
2016
21.
V. A. Vatutin, “The structure of decomposable reduced branching processes. II. Functional limit theorems”, Theory Probab. Appl., 60:1 (2016), 103–119 (cited: 5) (cited: 5) (cited: 5) (cited: 1)
2015
22.
V. A. Topchii, V. A. Vatutin, A. M. Iksanov, “Extinction of a two-type Bellman-Harris process generated by a large number of particles”, XVI-th International Summer Conference on Probability and Statistics, Seminar on Statistical Data Analysis, Workshop on Branching processes and Applications (Pomorie, Bulgaria, 21–29 June 2014), Pliska Stud. Math. Bulgar., 24, 2015, 89–98
23.
V. A. Vatutin, E. E. D'yakonova, “Decomposable Branching Processes with a Fixed Extinction Moment”, Proc. Steklov Inst. Math., 290 (2015), 103–124 (cited: 10) (cited: 2) (cited: 2) (cited: 4)
2016
24.
Vladimir A. Vatutin, Elena E. Dyakonova, “Extinction of decomposable branching processes”, Discrete Math. Appl., 26:3 (2016), 183–192 , arXiv: 1509.00759 (cited: 7) (cited: 2)
25.
V. A. Vatutin, A. M. Zubkov, “In memoriam of Boris Aleksandrovich Sevastianov”, Theory Probab. Appl., 60:1 (2016), 162–171
2015
26.
V. Vatutin, “Scientific and personal life of B.A. Sevastyanov”, XVI-th International Summer Conference on Probability and Statistics, Seminar on Statistical Data Analysis, Workshop on Branching Processes and Applications (Pomorie, Bulgaria 21–29 June 2014), Pliska Stud. Math. Bulgar., 24, 2015, 5–12
2014
27.
V. I. Afanasyev, Ch. Böinghoff, G. Kersting, and V. A. Vatutin, “Conditional limit theorems for intermediately subcritical branching processes in random environment”, Ann. Inst. H. Poincaré Probab. Statist., 50:2 (2014), 602–627 , arXiv: 1108.2127 (cited: 9) (cited: 10) (cited: 4) (cited: 10)
2015
28.
V. A. Vatutin, A. Iksanov, A. V. Marynych, “Weak convergence of finite-dimensional distrinbutions of a number of empty boxes of sieve of Bernoulli”, Theory Probab. Appl., 59:1 (2015), 87–113 (cited: 6) (cited: 2) (cited: 2) (cited: 5)
2014
29.
V. Vatutin, “Macroscopic and microscopic sutructures of the family tree for a critical decomposable branching process”, Abstracts of the Intrenational Congress of Mathematicians (Seoul, Korea, August 13–21, 2014), Abstracts. Short Communications. Posters Sessions, Seoul ICM 2014, Organizing Committee, Seoul, Korea, 2014, 431
30.
D. Denisov, V. Vatutin, V. Wachtel, “Local probabilities for random walks with negative drift conditioned to stay nonnegative”, Electronic Journal of Probability, 19 (2014), 88 , 17 pp. (cited: 1) (cited: 2)
31.
V. Bansaye, V. Vatutin, “Random walk with heavy tail and negative drift conditioned by its minimum and final values”, Markov Processes and Related Fields, 20:4 (2014), 633–652 , arXiv: 1312.3306 (cited: 1) (cited: 1)
2015
32.
V. A. Vatutin, “The structure of decomposable reduced branching processes. I. Finitedimensional distributions”, Theory Probab. Appl., 59:4 (2015), 641–662 (cited: 7) (cited: 2) (cited: 2) (cited: 3)
2014
33.
Vladimir Vatutin, Macroscopic and microscopic structures of the family tree for the decomposable critical branching processes, 2014 , 37 pp., arXiv: 1402.6819v1
34.
V. A. Vatutin, G. I. Medvedev, Yu. I. Ivchenko, V. P. Chistyakov, Teoriya veroyatnostei i matematicheskaya statistika v zadachakh, Uchebnoe posobie, izd. 4-e ispr., LENAND, M., 2014 , 384 pp.
2013
35.
S. Sagitov, B. Mehlig B. P. Jagers, V. Vatutin, “Evolutionary branching in a stochastic population model with discrete mutational steps”, Theoretical Population Biology, 83 (2013), 145–154 (cited: 1) (cited: 1) (cited: 1)
36.
V. A. Vatutin, V. A. Topchii, “Critical Bellman–Harris branching processes with long-living particles”, Proc. Steklov Inst. Math., 282 (2013), 243–272 (cited: 3) (cited: 3) (cited: 3) (cited: 3)
37.
V. A. Vatutin, E. E. D'yakonova, S. Sagitov, “Evolution of Branching Processes in a Random Environment”, Proc. Steklov Inst. Math., 282 (2013), 220–242 (cited: 6) (cited: 1) (cited: 1) (cited: 6)
2014
38.
V. A. Vatutin, V. A. Topchii, “A Key Renewal Theorem for Heavy Tail Distributions with $\beta\in(0,0.5]$”, Theory Probab. Appl., 58:2 (2014), 333–342 (cited: 4) (cited: 1) (cited: 1) (cited: 4)
2013
39.
A. Iksanov, A. Marynych, V. Vatutin, Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve, 2013 , 26 pp., arXiv: 1304.4469
40.
V. Vatutin, E. E. Dyakonova, P. Jagers, S. Sagitov, “Decomposable branching processes in a Markovian random environment”, Abstracts of communications of the Russian-Chinese Seminar on the asymptotic methods in probability theory and mathematical statistics (St. Petersburg, 10–14 June, 2013), St. Petersburg State University, St. Petersburg, 2013, 36
41.
Vladimir Vatutin, Quansheng Liu, “Branching processes evolving in asynchronous environments”, Proceedings 59-th ISI World Statistics Congress, 25–30 August 2013, Hong Kong (Hong Kong, 25–30 August 2013), International Statistical Institute, The Hague, The Netherlands, 2013, 1744-1749http://2013.isiproceedings.org/Files/STS033-P3-S.pdf
42.
Vetvyaschiesya protsessy, sluchainye bluzhdaniya i smezhnye voprosy, Sbornik statei. Posvyaschaetsya pamyati chlena-korrespondenta RAN Borisa Aleksandrovicha Sevastyanova, Tr. MIAN, 282, ed. V. A. Vatutin, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2013 , 335 pp.
2012
43.
V. A. Vatutin, “Total Population Size in Critical Branching Processes in a Random Environment”, Math. Notes, 91:1 (2012), 12–21 (cited: 3) (cited: 1) (cited: 1) (cited: 3)
44.
V. I. Afanasyev, C. Boinghoff, G. Kersting, V. A. Vatutin,, “Limit theorems for weakly subcritical branching processes in random environment”, J. Theoret. Probab., 25:3 (2012), 703–732 (cited: 16) (cited: 21) (cited: 11) (cited: 22)
45.
V. Vatutin, X Zheng, “Subcritical branching processes in a random environment without the Cramer condition”, Stochastic Process. Appl., 122:7 (2012), 2594-2609 (cited: 3) (cited: 6) (cited: 1) (cited: 6)
2013
46.
V. A. Vatutin, Q. Liu, “Critical branching process with two types of particles evolving in asynchronous random environments”, Theory Probab. Appl., 57:2 (2013), 279–305 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
2012
47.
V. Vatutin, V. Wachtel, “Gnedenko-Stone local limit theorems for random walks conditioned to stay positive”, Modern stochastics: Theory and Applications III (Kyiv, Ukraine, September 10–14, 2012), Conference materials, Kievskii universitet, Kiev, 2012, 45http://probability.univ.kiev.ua/msta3conf/datas/users/msta_main.pdf
48.
Vladimir Vatutin, Quansheng Liu, “Branching processes evolving in asynchronous environment”, 8-the World Congress in Probability and Statistics (Istanbul, Turkey, July 09–14, 2012), Programm and Abstracts, Bernoulli Society, 2012, 182–183http://www.worldcong2012.org/ContributedTalks.pdf
49.
V. A. Vatutin, V. A. Topchii, “Dvukhtipnye protsessy Bellmana-Kharrisa, startuyuschie s bolshogo chisla chastits”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i ee prilozheniya» (Moskva, 26–30 iyunya 2012 g.), Tezisy dokladov, eds. A. N. Shiryaev, A. V. Lebedev, LENAND, Moskva, 2012, 24–25
50.
V. Vatutin, E. Dyakonova, P. Jagers, S. Sagitov, “A decomposable branching process in a Markovian environment”, Int. J. Stoch. Anal., 2012 (2012), 694285 , 24 pp. (cited: 2) (cited: 5)
2011
51.
V. A. Vatutin, “Multitype branching processes with immigration in random environment, and polling systems”, Siberian Advances in Mathematics, 21:1 (2011), 42–72 (cited: 2)
2012
52.
Y. Hu, V. A. Topchii, V. A. Vatutin, “Branching Random Walk in $\mathbf Z^4$ with Branching at the Origin Only”, Theory Probab. Appl., 56:2 (2012), 193–212 (cited: 1) (cited: 2)
2011
53.
F. C. Klebaner, S. Sagitov, V. A. Vatutin, P. Haccou, P. Jagers, “Stochasticity in the adaptive dynamics of evolution: the bare bones”, J. Biol. Dyn., 5:2 (2011), 147–162 (cited: 5) (cited: 9) (cited: 13)
2013
54.
V. A. Vatutin, V. A. Topchiǐ, “Catalytic branching random walks in $\mathbb Z^d$ with branching at the origin”, Siberian Adv. Math., 23:2 (2013), 125–153 (cited: 3)
2010
55.
V. A. Vatutin, E. E. Dyakonova, “Asymptotic properties of multitype critical branching processes evolving in a random environment”, Discrete Math. Appl., 20:2 (2010), 157–177 (cited: 4)
2011
56.
V. A. Vatutin, “Polling systems and multitype branching processes in a random environment with final product”, Theory Probab. Appl., 55:4 (2011), 631–660 (cited: 4) (cited: 1) (cited: 1) (cited: 3)
2010
57.
C. Böinghoff, E. E. Dyakonova, G. Kersting, V. A. Vatutin, “Branching processes in random environment which extinct at a given moment”, Markov Process. Related Fields, 16:2 (2010), 329–350 (cited: 8)
58.
S. Sagitov, P. Jagers, V. Vatutin, “Coalescent approximation for structured populations in a stationary random environment.”, Theoretical Population Biology, 78:3 (2010), 192–199 (cited: 3) (cited: 3) (cited: 3)
59.
V. Vatutin, “A refinement of limit theorems for the critical branching processes in random environment”, Workshop on Branching Processes and their Applications, Lect. Notes Stat. Proc., 197, Part 1, Springer, Berlin, 2010, 3–19 (cited: 1)
60.
V. A. Vatutin, “On the Bernoulli Society for Mathematical Statistics and Probability”, Teor. Veroyatnost. i Primenen., 55:4 (2010), 820–822
2009
61.
V. A. Vatutin, V. Wachtel, “Local probabilities for random walks conditioned to stay positive”, Probab. Theory Related Fields, 143:1-2 (2009), 177–217 (cited: 25) (cited: 36) (cited: 27) (cited: 36)
62.
V. A. Vatutin, “Sudden death versus slow extinction for branching processes in random environment”, Proceedings of the 33th SPA conference, Berlin, 2009, 43
63.
V. A. Vatutin, Branching Bellman-Harris processes, Lekts. Kursy NOC, 12, Steklov Math. Inst., RAS, Moscow, 2009 , 112 pp.
2010
64.
V. A. Vatutin, V. I. Vakhtel', “Sudden extinction of the critical branching process in random environment”, Theory Probab. Appl., 54:3 (2010), 466–484 (cited: 3) (cited: 8) (cited: 4) (cited: 4) (cited: 5)
2008
65.
V. A. Vatutin, A. E. Kyprianou, “Branching processes in random environment die slowly”, Fifth Colloquium on Mathematics and Computer Science, Discrete Math. Theor. Comput. Sci. Proc., AI, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2008, 375–395 (cited: 4)
66.
V. A. Vatutin, Branching process and their application, Lekts. Kursy NOC, 8, Steklov Math. Inst., RAS, Moscow, 2008 , 108 pp.
2009
67.
V. A. Vatutin, E. E. D'yakonova, “Waves in Reduced Branching Processes in a Random Environment”, Theory Probab. Appl., 53:4 (2009), 679–695 (cited: 3) (cited: 2)
2007
68.
P. Haccou, P. Jagers, V. A. Vatutin, Branching processes: variation, growth, and extinction of populations, Camb. Stud. Adapt. Dyn., Cambridge Univ. Press, Cambridge, 2007 , xii+316 pp. (cited: 85)
69.
V. Vatutin, J. Xiong, “Some limit theorems for a particle system of single point catalytic branching random walks”, Acta Math. Sin. (Engl. Ser.), 23:6 (2007), 997–1012 (cited: 5) (cited: 6) (cited: 8) (cited: 7)
2008
70.
V. A. Vatutin, V. I. Vakhtel', K. Fleischmann, “Critical Galton–Watson process: The maximum of total progenies within a large window”, Theory Probab. Appl., 52:3 (2008), 470–492 (cited: 5) (cited: 4) (cited: 4) (cited: 4)
71.
V. A. Vatutin, E. E. D'yakonova, “Limit theorems for reduced branching processes in a random environment”, Theory Probab. Appl., 52:2 (2008), 277–302 (cited: 6) (cited: 3) (cited: 3) (cited: 4)
2006
72.
K. A. Borovkov, V. A. Vatutin, “On the asymptotic behaviour of random recursive trees in random environments”, Adv. in Appl. Probab., 38:4 (2006), 1047–1070 (cited: 2) (cited: 1) (cited: 2)
2007
73.
V. A. Vatutin, E. E. D'yakonova, “Branching processes in random environment and “bottlenecks” in evolution of populations”, Theory Probab. Appl., 51:1 (2007), 189–210 (cited: 18) (cited: 11) (cited: 11) (cited: 14)
2005
74.
K. Fleischmann, V. A. Vatutin, “Multi-scale clustering for a non-Markovian spatial branching process”, J. Theoret. Probab., 18:4 (2005), 719–755
75.
V. I. Afanasyev, J. Geiger, G. Kersting, V. A. Vatutin, “Functional limit theorems for strongly subcritical branching processes in random environment”, Stochastic Process. Appl., 115:10 (2005), 1658–1676 (cited: 23) (cited: 25) (cited: 25) (cited: 26)
76.
V. I. Afanasyev, J. Geiger, G. Kersting, V. A. Vatutin, “Criticality for branching processes in random environment”, Ann. Probab., 33:2 (2005), 645–673 (cited: 51) (cited: 67) (cited: 55) (cited: 65)
2004
77.
V. Topchii, V. Vatutin, “Two-dimensional limit theorem for a critical catalytic branching random walk”, Mathematics and computer science. III, Trends Math., Birkhäuser, Basel, 2004, 387–395 (cited: 4)
78.
V. Vatutin, E. Dyakonova, “Yaglom type limit theorem for branching processes in random environment”, Mathematics and computer science. III, Trends Math., Birkhäuser, Basel, 2004, 375–385 (cited: 5)
79.
E. E. Dyakonova, J. Geiger, V. A. Vatutin, “On the survival probability and a functional limit theorem for branching processes in random environment”, Markov Process. Related Fields, 10:2 (2004), 289–306 (cited: 6)
2005
80.
V. A. Vatutin, V. A. Topchii, “Limit theorem for critical catalytic branching random walks”, Theory Probab. Appl., 49:3 (2005), 498–518 (cited: 4) (cited: 4) (cited: 7)
81.
V. A. Vatutin, E. E. D'yakonova, “Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions”, Theory Probab. Appl., 49:2 (2005), 275–309 (cited: 18) (cited: 11) (cited: 16)
2004
82.
V. A. Vatutin, V. A. Topchiĭ, E. B. Yarovaya, “Catalytic branching random walks and queueing systems with a random number of independently operating servers”, Theory Probab. Math. Statist., 2004, no. 69, 1–15 (2005)
2003
83.
V. Topchii, V. Vatutin, “Individuals at the origin in the critical catalytic branching random walk”, Discrete random walks (Paris, 2003), Discrete Math. Theor. Comput. Sci. Proc., AC, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2003, 325–332 (cited: 10)
84.
J. Geiger, G. Kersting, V. A. Vatutin, “Limit theorems for subcritical branching processes in random environment”, Ann. Inst. H. Poincaré Probab. Statist., 39:4 (2003), 593–620 (cited: 26) (cited: 31) (cited: 25) (cited: 31)
2004
85.
V. A. Vatutin, “Limit theorem for an intermediate subcritical branching process in a random environment”, Theory Probab. Appl., 48:3 (2004), 481–492 (cited: 13) (cited: 5) (cited: 8)
86.
V. A. Vatutin, E. E. D'yakonova, “Galton–Watson branching processes in a random environment. I: limit theorems”, Theory Probab. Appl., 48:2 (2004), 314–336 (cited: 19) (cited: 14) (cited: 18)
2003
87.
P. Haccou, and V. Vatutin, “Establishment success and extinction risk in autocorrelated environments”, Theoretical Population Biology, 64:3 (2003), 303–314 (cited: 23) (cited: 21) (cited: 23)
2004
88.
A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Holevo, D. M. Chibisov, A. N. Shiryaev, “On the 80th Birthday of B. A. Sevastyanov”, Theory Probab. Appl., 48:4 (2004), 697–702
2002
89.
V. A. Vatutin, E. E. Dyakonova, “Multitype branching processes and some queueing systems”, J. Math. Sci. (New York), 111:6 (2002), 3901–3911 (cited: 3) (cited: 7) (cited: 8)
90.
V. Vatutin, E. Dyakonova, “Reduced branching processes in random environment”, Mathematics and computer science, II (Versailles, 2002), Trends Math., Birkhäuser, Basel, 2002, 455–467 (cited: 6)
91.
U. Rösler, V. Topchii, V. Vatutin, “Convergence rate for stable weighted branching processes”, Mathematics and computer science (Versailles, 2002), Trends Math., Birkhäuser, Basel, 2002, 441–453 (cited: 5)
92.
V. A. Vatutin, U. Rösler, V. A. Topchii, “The Rate of Convergence for Weighted Branching Processes”, Siberian Adv. Math., 12:4 (2002), 57–82 (cited: 2) (cited: 2)
2003
93.
A. Wakolbinger, V. A. Vatutin, K. Fleischmann, “Branching systems with long-living particles at the critical dimension”, Theory Probab. Appl., 47:3 (2003), 429–454 (cited: 4) (cited: 2) (cited: 4)
94.
V. A. Vatutin, “Reduced branching processes in random environment: the critical case”, Theory Probab. Appl., 47:1 (2003), 99–113 (cited: 8) (cited: 4) (cited: 9)
2001
95.
V. A. Vatutin, E. E. Dyakonova, “The survival probability of a critical multitype Galton-Watson branching process”, J. Math. Sci. (New York), 106:1 (2001), 2752–2759 (cited: 2) (cited: 2) (cited: 3)
96.
U. Rösler, V. A. Topchii, V. A. Vatutin, “High-level overshoot for a class of random sequences”, Siberian Adv. Math., 11:3 (2001), 60–72
2002
97.
V. A. Vatutin, “Book review: Bass Richard F. “Diffusions and Eliliptic Operators””, Theory Probab. Appl., 46:4 (2002), 751–752
98.
V. A. Vatutin, “Book review: Le Gall J. “Spatial Branching Processes, Random Snakes and Partial Differential Equations””, Theory Probab. Appl., 46:2 (2002), 380–382
2000
99.
V. A. Vatutin, “Linear functionals for critical multitype Galton-Watson branching processes”, J. Math. Sci. (New York), 99:4 (2000), 1502–1509 (cited: 1) (cited: 1) (cited: 1)
100.
K. Fleischmann, V. Vatutin A., “An integral test for a critical multitype spatially homogeneous branching particle process and a related reaction-diffusion system”, Probab. Theory Related Fields, 116:4 (2000), 545–572 (cited: 1) (cited: 2) (cited: 2) (cited: 2)
101.
U. Rösler, V. A. Topchii, V. A. Vatutin, “Convergence conditions for weighted branching processes”, Discrete Math. Appl., 10:1 (2000), 5–21 (cited: 3) (cited: 6)
2001
102.
V. A. Vatutin, K. Fleischmann, “Deviations from typical type proportions in critical multitype Galton–Watson processes”, Theory Probab. Appl., 45:1 (2001), 23–40 (cited: 1) (cited: 1) (cited: 1)
2000
103.
V. A. Vatutin, “On the embeddability probability of a random hypergraph with coloured edges into a bipartite graph”, Tr. Diskr. Mat., 3, Fizmatlit, Moscow, 2000, 29–36
2001
104.
V. A. Vatutin, “Book review: Wimmer G., Altmann G. “Thesaurus of Univariate Discrete Probability Distributions””, Theory Probab. Appl., 45:4 (2001), 725–730
105.
V. A. Vatutin, “Book review: Kolchin V. F. “Random Graphs””, Theory Probab. Appl., 45:2 (2001), 359–361
1999
106.
K. Fleischmann, V. Vatutin A., “Reduced subcritical Galton–Watson processes in a random environment”, Adv. in Appl. Probab., 31:1 (1999), 88–111 (cited: 10) (cited: 16) (cited: 15) (cited: 13)
2000
107.
V. A. Vatutin, “Book review: Habib M., McDiarmid C., Ramirez-Alfonsin J., Reed B. (Eds.) “Probabilistic Methods for Algorithmic Disctrete Mathematics””, Theory Probab. Appl., 44:3 (2000), 613–621
108.
V. A. Vatutin, “Book review: G. George Yin, Qing Zhang “Continuous-Time Markov Chains and Applications: A Singular Perturbation Approach””, Theory Probab. Appl., 44:2 (2000), 428–431
1999
109.
A. Wakolbinger, V. A. Vatutin, “Spatial branching populations with long individual lifetimes”, Theory Probab. Appl., 43:4 (1999), 620–632 (cited: 6)
110.
V. A. Vatutin, “Book review: Reiss R.-D., Thomas M. “Statistical Analysis of Extreme Values with Applications to Insurance, Finance, Hydrology and Other Fields””, Theory Probab. Appl., 43:4 (1999), 683–684
1997
111.
M. Drmota, V. Vatutin, “Limiting distributions in branching processes with two types of particles”, Classical and modern branching processes (Minneapolis, MN, 1994), IMA Vol. Math. Appl., 84, Springer, New York, 1997, 89–110 (cited: 2)
112.
K. A. Borovkov, V. A. Vatutin, “Reduced critical branching processes in random environment”, Stochastic Process. Appl., 71:2 (1997), 225–240 (cited: 4) (cited: 11) (cited: 9) (cited: 11)
113.
V. A. Vatutin, E. E. D'yakonova, “Critical branching processes in random environment: the probability of extinction at a given moment”, Discrete Math. Appl., 7:5 (1997), 469–496 (cited: 4)
1998
114.
V. A. Vatutin, V. A. Topchii, “Maximum of the critical Galton–Watson processes and left-continuous random walks”, Theory Probab. Appl., 42:1 (1998), 17–27 (cited: 6)
115.
V. A. Vatutin, “Book review: Maitra P. A . , Sudderth D. William, “Discrete Gambling and Stochastic Games””, Theory Probab. Appl., 42:4 (1998), 714–716
1997
116.
V. A. Vatutin, “Book review: Yor M. “Some aspects of Brownian motion. Part II: Some recent martingale problems””, Teor. Veroyatnost. i Primenen., 42:3 (1997), 641–643
1998
117.
V. A. Vatutin, “Book review: Mittelhammer R. C. “Mathematical Statistics for Economics and Business””, Theory Probab. Appl., 42:1 (1998), 186–188
1996
118.
K. A. Borovkov, V. A. Vatutin, “On distribution tails and expectations of maxima in critical branching processes”, J. Appl. Probab., 33:3 (1996), 614–622 (cited: 10) (cited: 16) (cited: 19) (cited: 18)
119.
V. A. Vatutin, V. G. Mikhailov, “On the number of readings of random nonequiprobable files under stable sorting”, Discrete Math. Appl., 6:3 (1996), 207–223 (cited: 1)
120.
V. A. Vatutin, “The numbers of ascending segments in a random permutation and in one inverse to it are asymptotically independent”, Discrete Math. Appl., 6:1 (1996), 41–52 (cited: 1)
1997
121.
V. A. Vatutin, V. G. Mikhailov, “Asymptotic properties of matrices related to mappings of partitions”, Theory Probab. Appl., 41:2 (1997), 318–325
122.
V. A. Vatutin, “Book review: Jacobs K. “Discrete Stochastics”, Resnick S. “Adventures in Stochastic Process””, Theory Probab. Appl., 41:3 (1997), 609–613
123.
V. A. Vatutin, V. M. Zolotarev, R. I. Ivanovskaya, I. A. Ibragimov, Yu. V. Prokhorov, V. M. Sazonov, B. A. Sevast'yanov, A. D. Solov'ev, D. M. Chibisov, A. N. Shiryaev, “Boris Vladimirovich Gnedenko (1.I.1912-27.XII.1995)”, Theory Probab. Appl., 41:2 (1997), 326–327
1996
124.
V. A. Vatutin, “On the explosiveness of nonhomogeneous age-dependent branching processes”, Theory Probab. Math. Statist., 1996, no. 52, 39–42
1995
125.
V. A. Vatutin, V. G. Mikhailov, “Some estimates for the distribution of the height of a tree for digital searching”, Discrete Math. Appl., 5:4 (1995), 289–300
126.
V. G. Mikhailov, V. A. Vatutin, “Statistical estimation of the entropy of discrete random variables with a large number of outcomes”, Russian Math. Surveys, 50:5 (1995), 963–976 (cited: 3)
127.
V. A. Vatutin, “On the maximum of a simple random walk”, Theory Probab. Appl., 40:2 (1995), 398–402
128.
V. A. Vatutin, “Book review: Guttorp P. “Statistical Inference for Branching Proceses””, Theory Probab. Appl., 40:3 (1995), 597–598
129.
V. A. Vatutin, “Book review: Johnson N. L., Kotz S. and Kemp A. W. “Univariate Discrete Distributions””, Theory Probab. Appl., 40:2 (1995), 403–408
1994
130.
V. A. Vatutin, “On the height of the trunk of random rooted trees”, Discrete Math. Appl., 4:4 (1994), 351–360 (cited: 1)
131.
V. A. Vatutin, “Limit theorems for the number of ascending segments in random permutations generated by sorting algorithms”, Discrete Math. Appl., 4:1 (1994), 31–44 (cited: 4)
132.
V. A. Vatutin, “Branching processes with final types of particles and random trees”, Theory Probab. Appl., 39:4 (1994), 628–641 (cited: 1)
133.
V. A. Vatutin, “Book review: Yor M. “Some aspects of Brownian motion. Part I: Some special functionals””, Theory Probab. Appl., 39:4 (1994), 720–725
1993
134.
V. A. Vatutin, “The total number of particles in a reduced Bellman–Harris branching process”, Theory Probab. Appl., 38:3 (1993), 567–571
135.
V. A. Vatutin, “The distribution of the distance to the root of the minimal subtree containing all the vertices of a given height”, Theory Probab. Appl., 38:2 (1993), 330–341 (cited: 1)
136.
V. A. Vatutin, A. M. Zubkov, “Branching processes. II”, J. Soviet Math., 67:6 (1993), 3407–3485 (cited: 11) (cited: 33)
137.
V. A. Vatutin, V. F. Kolchin, “Review of a book, Mahmoud H. M. “Evolution of Random Search Trees””, Diskr. Mat., 5:3 (1993), 157–159
138.
V. A. Vatutin, “The limit theorem for Bellman–Harris process with final types”, Proc. Steklov Inst. Math., 200 (1993), 83–92
1991
139.
V. A. Vatutin, S. M. Sagitov, “A critical branching process: the remote past given a favorable present”, Theory Probab. Appl., 36:1 (1991), 86–98
140.
V. A. Vatutin, N. M. Yanev, “A multidimensional critical Galton–Watson branching process with final types”, Discrete Math. Appl., 1:3 (1991), 321–333
1989
141.
V. A. Vatutin, S. M. Sagitov, “Decomposable Critical Branching Bellman–Harris Process with Particles of Two Different Tupes. II”, Theory Probab. Appl., 34:2 (1989), 216–227
1988
142.
V. A. Vatutin, S. M. Sagitov, “Critical decomposable Bellman–Harris processes with two types of particles”, Math. Notes, 43:2 (1988), 157–161
143.
V. A. Vatutin, S. M. Sagitov, “Decomposable Critical Branching Bellman–Harris Process with Particles of Two Different Types. I”, Theory Probab. Appl., 33:3 (1988), 460–472 (cited: 2)
1989
144.
V. A. Vatutin, “Asymptotic properties of Bellman–Harris critical branching processes starting with a large number of particles”, Stability problems for stochastic models, J. Soviet Math., 47:5 (1989), 2673–2681
1987
145.
V. A. Vatutin, “Book review: «Probability Theory with Applications» M. M. Rao”, Theory Probab. Appl., 32:4 (1987), 752–756
1986
146.
N. M. Yanev, V. A. Vatutin, K. V. Mitov, “Critical branching migration processes with an absorbing barrier at zero”, Mathematics and mathematical education (Sl'nchev Bryag, 1986), Publ. House Bulgar. Acad. Sci., Sofia, 1986, 511–517
147.
V. A. Vatutin, S. M. Sagitov, “A decomposable critical Bellman-Harris branching process with two types of particles”, Dokl. AN SSSR, 291:5 (1986), 1040–1043
148.
V. A. Vatutin, “Critical Bellman–Harris branching processes starting with a large number of particles”, Math. Notes, 40:4 (1986), 803–811 (cited: 5) (cited: 3)
1988
149.
V. A. Vatutin, S. M. Sagitov, “A decomposable critical branching process with two types of particles”, Proc. Steklov Inst. Math., 177 (1988), 1–19
1987
150.
V. A. Vatutin, “Critical branching Bellman–Harris process of final type”, Theory Probab. Appl., 31:3 (1987), 428–438 (cited: 1)
151.
V. A. Vatutin, “Sufficient regularity conditions for Bellman–Harris branching processes”, Theory Probab. Appl., 31:1 (1987), 50–57 (cited: 1)
152.
V. A. Vatutin, A. M. Zubkov, “Branching processes. I”, J. Soviet Math., 39:1 (1987), 2431–2475 (cited: 6)
1984
153.
K. V. Mitov, V. A. Vatutin, N. M. Yanev, “Critical Galton–Watson processes with decreasing immigration depending on the state of the process”, Serdica, 10:4 (1984), 412–424
154.
K. V. Mitov, V. A. Vatutin, N. M. Yanev, “Continuous-time branching processes with decreasing state-dependent immigration”, Adv. in Appl. Probab., 16:4 (1984), 697–714 (cited: 2) (cited: 6)
1983
155.
V. A. Vatutin, “Branching processes with infinite variance”, Fourth international summer school on probability theory and mathematical statistics (Varna, 1982), Publ. House Bulgar. Acad. Sci., Sofia, 1983, 9–38 (cited: 1)
156.
V. A. Vatutin, V. G. Mihaǐlov, “Limit theorems for the number of empty cells in the equiprobable scheme of group disposal of particles”, Theory Probab. Appl., 27:4 (1983), 734–743 (cited: 7)
157.
V. A. Vatutin, “A local limit theorem for critical Bellman–Harris branching processes”, Proc. Steklov Inst. Math., 158 (1983), 9–31
1982
158.
V. A. Vatutin, “On a class of limit theorems for a critical Bellman–Harris branching process”, Theory Probab. Appl., 26:4 (1982), 806–812
1981
159.
V. A. Vatutin, “On a class of the critical multitype Bellman–Harris branching processes”, Theory Probab. Appl., 25:4 (1981), 760–771 (cited: 3)
1979
160.
V. A. Vatutin, “Distance to the nearest common ancestor in bellman-harris branching processes”, Math. Notes, 25:5 (1979), 378–382 (cited: 5) (cited: 7)
1980
161.
V. A. Vatutin, “A new limit theorem for the critical Bellman–Harris branching process”, Math. USSR-Sb., 37:3 (1980), 411–423 (cited: 2)
162.
V. A. Vatutin, “Discrete limit distributions of the number of particles in a multitype age-dependent branching processes”, Theory Probab. Appl., 24:3 (1980), 509–520 (cited: 10)
1979
163.
V. A. Vatutin, “Limit theorem for a critical multitype Bellman–Harris branching process with infinite second moments”, Theory Probab. Appl., 23:4 (1979), 776–788 (cited: 5)
1977
164.
V. A. Vatutin, “A conditional limit theorem for a critical Branching process with immigration”, Math. Notes, 21:5 (1977), 405–411 (cited: 4)
165.
V. A. Vatutin, “Limit theorems for critical Markov branching processes with several types of particles and infinite second moments”, Math. USSR-Sb., 32:2 (1977), 215–225 (cited: 8)
166.
V. A. Vatutin, “Asymptotic behavior of the survival probability for a decomposable branching process with replacements depending on the age of the particles”, Math. USSR-Sb., 31:1 (1977), 95–107
1978
167.
V. A. Vatutin, “A critical Galton–Watson branching process with emigration”, Theory Probab. Appl., 22:3 (1978), 465–481
1977
168.
V. A. Vatutin, “Discrete distributions of the number of particles in critical Bellman–Harris branching processes”, Theory Probab. Appl., 22:1 (1977), 146–152
169.
V. A. Vatutin, “Asymptotic behaviour of the non-extinction probability for a critical branching process”, Theory Probab. Appl., 22:1 (1977), 140–146
1976
170.
V. A. Vatutin, “Uslovie regulyarnosti vetvyaschegosya protsessa Bellmana–Kharrisa”, Dokl. AN SSSR, 230:1 (1976), 15–18 (cited: 1) (cited: 1)
1977
171.
V. A. Vatutin, “A limit theorem for a critical age-dependent branching process with infinite variance”, Theory Probab. Appl., 21:4 (1977), 839–842
172.
V. A. Vatutin, “Critical multitype age-dependent branching process with immigration”, Theory Probab. Appl., 21:2 (1977), 435–442
1974
173.
V. A. Vatutin, “The asymptotic probability of the first degeneration for branching processes with immigration”, Theory Probab. Appl., 19:1 (1974), 25–34
Branching processes, random walks, and related problems, Collected papers. Dedicated to the memory of Boris Aleksandrovich Sevastyanov, corresponding member of the Russian Academy of Sciences, Tr. Mat. Inst. Steklova, 282, ed. V. A. Vatutin, A. G. Sergeev, 2013, 335 с. http://mi.mathnet.ru/book1485
2018
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