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Vatutin Vladimir Alekseevich
(recent publications)

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scientific publications

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2026
1.	Vladimir Vatutin, Elena Dyakonova, Population size of critical Galton-Watson processes under small deviations and infinite variance, 2026, 21 pp., arXiv: 2602.02346
2.	V. A. Vatutin, E. E. Dyakonova, Teor. Veroyatnost. i Primenen.

2026
3.	V. A. Vatutin, E. E. Dyakonova, “Limit theorems for critical branching processes in an extremely unfavorable random environment”, Mat. Sb., 217:11 (2026) (to appear)

2025
4.	Vladimir Vatutin, Elena Dyakonova, Yakubdjan Khusanbaev, Small deviations for critical Galton-Watson processes with infinite variance, 2025, 30 pp., arXiv: 2505.10137
5.	V. A. Vatutin, E .E. Dyakonova, Reduced critical branching processes in non-favorable random environment, 2025, 39 pp., arXiv: 2506.18063
6.	V. A. Vatutin, E. E. Dyakonova, “Reduced Critical Branching Processes in Non-favorable Random Environment”, Proc. Steklov Inst. Math., 330 (2025), 394–424
7.	V. A. Vatutin, E. E. Dyakonova, Ya. M. Khusanbaev, “Probabilities of small deviations of a critical Galton–Watson process with infinite variance of the number of the direct descendants of particles”, Sb. Math., 216:11 (2025)
8.	V. B. Alekseev, V. A. Vatutin, V. A. Emelichev, Yu. L. Ershov, G. I. Ivchenko, V. V. Kochergin, Yu. V. Matiyasevich, Yu. I. Medvedev, Yu. L. Pavlov, B. A. Pogorelov, È. A. Primenko, L. Ya. Savel'ev, V. N. Sachkov, S. A. Stepanov, Yu. S. Kharin, V. N. Chubarikov, D. A. Shabanov, “Zubkov Andrey Mikhailovich (30.12.1946-06.08.2025)”, Diskr. Mat., 37:3 (2025)
9.	V. A. Vatutin, E . E. Dyakonova, “Reduced processes in non-favorable random environment”, Computer Data Analysis and Modelling: Stochastic and Data Science, Proceedings of the XIV International Conference (Minsk, September 24-27, 2025), eds. Yu.Kharin, A.M.Zubkov et al., Publishing Center of BSU, Minsk, 2025, 263-265 \href{https://conf.bsu.by/data/cdam_en/doc/CDAM
10.	V.ladimir Vatutin, Elena Dyakonova, Limit theorems for critical branching processes in an extremely unfavorable random environment, 2025, 26 pp., arXiv: 2512.22592

2024
11.	V. A. Vatutin, C. Dong, E. E. Dyakonova, “Some functionals for random walks and critical branching processes in an extremely unfavourable random environment”, Sb. Math., 215:10 (2024), 1321–1350
12.	V. A. Vatutin, E. E. Dyakonova, “On the prospective minimum of the random walk conditioned to stay nonnegative”, Discrete Math. Appl., 34:6 (2024), 337–362
13.	V. Vatutin, E. Dyakonova, On the prospective minimum of the random walk conditioned to stay non-negative, 2024, 34 pp., arXiv: 2409.02215
14.	Vladimir A. Vatutin, Elena E. Dyakonova, “Branching processes under nonstandard conditions”, Stoch. Qual. Control, 39:1 (2024), 59–68
15.	V. A. Vatutin, E. E. Dyakonova, “Letter to the Edinor”, Teor. Veroyatnost. i Primenen.

2023
16.	Charline Smadi, Vladimir Vatutin, “Reduced processes evolving in a mixed environment”, Stoch. Models, 39:1 (2023), 5–20	1 ^[x]
17.	V. A. Vatutin, E. E. Dyakonova, “Population size of a critical branching process evolving in unfovarable environment”, Theory Probab. Appl., 68:3 (2023), 411–430
18.	C. Dong, E. Dyakonova, V. Vatutin, Random walks conditioned to stay non-negative and branching processes in non-favorable random environment, 2023, 35 pp., arXiv: 2303.07776
19.	V. A. Vatutin, “On the closeness of distribution of some random variable to the equiprobable one”, Mat. Vopr. Kriptogr., 14:1 (2023), 5–14
20.	V. A. Vatutin, C. Dong, E. E. Dyakonova, “Random walks conditioned to stay nonnegative and branching processes in an unfavourable environment”, Sb. Math., 214:11 (2023), 1501–1533
21.	V. A. Vatutin, Yo.M.Xusanboev, TARMOQLANUVCHI JARAYONLAR VA ularning tatbiqlari, Vetvyaschiesya protsessy i ikh primeneniya (uzbekskii yazyk), eds. Sh. Q. Formanov, TIPOGRAFF, Tashkent, Uzbekistan, 2023, 168 pp., kniga na uzbekskom yazyke
22.	C. Dong, E. Dyakonova, V. Vatutin, Some functionals for random walks and critical branching processes in extreme random environment, 2023, 28 pp., arXiv: 2311.10445

2022
23.	V. A. Vatutin, C. Smadi, “Critical Branching Processes in a Random Environment with Immigration: The Size of the Only Surviving Family”, Proc. Steklov Inst. Math., 316 (2022), 336–355
24.	V. A. Vatutin, E. E. D'yakonova, “Atypical population size in a two-type decomposable branching process”, Theory Probab. Appl., 67:4 (2022), 516–534

2024
25.	V. A. Vatutin, E. E. Dyakonova, “Critical branching processes evolving in a unfavorable random environment”, Discrete Math. Appl., 34:3 (2024), 175–186

2022
26.	V. Vatutin, E. Dyakonova, Critical branching processes evolving in an unfavorable random environment, 2022, 15 pp., arXiv: 2209.13611

2021
27.	V. A. Vatutin, E. E. Dyakonova, V. A. Topchii, “Critical Galton-Watson branching processes with a countable set of types and infinite second moments”, Sb. Math., 212:1 (2021), 1–24
28.	Doudou Li, Vladimir Vatutin, Mei Zhang, “Subcritical branching processes in random environment with immigration stopped at zero”, J. Theor. Probability, 34:2 (2021), 874–896, arXiv: 1906.09590	9 ^[x]
29.	Charline Smadi, Vladimir Vatutin, “Critical branching processes in random environment with immigration: survival of a single family”, Extremes, 24 (2021), 433–460, arXiv: 1911.00316	4 ^[x]
30.	Ch. Smadi, V. A. Vatutin, Critical branching processes in random environment with immigration: the size of the only surviving family, 2021, 26 pp., arXiv: 2109.13315
31.	V. A. Vatutin, E. E. Dyakonova, “Multitype branching processes in random environment”, Russian Math. Surveys, 76:6 (2021), 1019–1063

2020
32.	V. A. Vatutin, E. E. D'yakonova, “The Survival Probability for a Class of Multitype Subcritical Branching Processes in Random Environment”, Math. Notes, 107:2 (2020), 189–200
33.	V. A. Vatutin, E. E. Dyakonova, “Branching processes in random environment with sibling dependence”, J. Math. Sci. (N.Y.), 246:4 (2020), 569–579, arXiv: 1812.10304	1 ^[x]
34.	Elena Dyakonova, Doudou Li, Vladimir Vatutin, Mei Zhang, “Branching processes in random environment with immigration stopped at zero”, J. Appl. Probab., 57:1 (2020), 237–249, arXiv: 1905.03535	12 ^[x]

2021
35.	V. A. Vatutin, E. E. D'yakonova, “Subcritical Branching Processes in Random Environment with Immigration: Survival of a Single Family”, Theory Probab. Appl., 65:4 (2021), 527–544
36.	V. A. Vatutin, E. E. D'yakonova, “Properties of multitype subcritical branching processes in random environment”, Discrete Math. Appl., 31:5 (2021), 367–382

2020
37.	C. Dong, C. Smadi, V. A. Vatutin, “Critical branching processes in random environment and Cauchy domain of attraction”, ALEA, Lat. Am. J. Probab. Math. Stat., 17 (2020), 877–900, arXiv: 1910.13190
38.	V. A. Vatutin, “Asymptotic properties of the number of inversions in a random forest”, Mat. Vopr. Kriptogr., 11:4 (2020), 7–22

2019
39.	W. Hong, M. Liu, V. A. Vatutin, “Limit theorems for supercritical MBPRE with linear fractional offspring distributions”, Markov Processes Relat. Fields, 25:1 (2019), 1–31, arXiv: 1710.08724

2021
40.	V. A. Vatutin, E. E. D'yakonova, “Multitype weakly subcritical branching processes in random environment”, Discrete Math. Appl., 31:3 (2021), 207–222

2019
41.	V. A. Vatutin, E. E. D'yakonova, “The initial evolution stage of a weakly subcrtical branching process in a random environment”, Theory Probab. Appl., 64:4 (2019), 535–552
42.	V. A. Vatutin, “Asymptotic properties of the inversion number in colored trees”, Mat. Vopr. Kriptogr., 10:4 (2019), 9–24

2018
43.	V. A. Vatutin, E. E. D'yakonova, “Decomposable branching processes with two types of particles”, Discrete Math. Appl., 28:2 (2018), 119–130

2019
44.	M. Liu, V. A. Vatutin, “Reduced critical branching processes for small populations”, Theory Probab. Appl., 63:4 (2019), 648–656, arXiv: 1801.03217

2018
45.	V. A. Vatutin, W. Hong, Ya. Ji, “Reduced critical Bellman–Harris branching processes for small populations”, Discrete Math. Appl., 28:5 (2018), 319–330
46.	V. A. Vatutin, “Uslovnaya predelnaya teorema dlya blizkikh k kriticheskim vetvyaschikhsya protsessov s finalnym tipom chastits”, Matematicheskie voprosy kriptografii, 9:4 (2018), 53–72
47.	Vladimir Vatutin, Vitali Wachtel, “Multi-type subcritical branching processes in a random environment”, Adv. in Appl. Probab., 50:A (2018), 281–289, arXiv: 1711.07453	12 ^[x]
48.	Branching and Applied Probability, AAP Special Volume 50A devoted to Peter Jagers, Advances in Applied Probability, 50A, eds. S. Asmussen, F. Klebaner, O. Nerman and V. Vatutin, Applied Probability Trust, University of Sheffield, 2018, 289 pp. https://www.cambridge.org/core/journals/advances-in-applied-probability/issue/977F9C69F67D7BF3F099BF24D5B904B1

2017
49.	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	13 ^[x]
50.	V. A. Vatutin, “A Conditional Functional Limit Theorem for Decomposable Branching Processes with Two Types of Particles”, Math. Notes, 101:5 (2017), 778–789
51.	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	9 ^[x]

2018
52.	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

2017
53.	Götz Kersting, Vladimir Vatutin, Discrete Time Branching Processes in Random Environment, Wiley, John Wiley & Sons, Inc.New Jersey, USA; ISTE, London, UK, 2017, 306 pp. http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1786302527.html
54.	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, 116 http://www.spa2017.org/images/upload_slides/Book-of-abstracts.pdf
55.	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

2016
56.	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
57.	V. A. Vatutin, E. E. Dyakonova, How many families survive for a long time?, 2016, 23 pp., arXiv: 1608.08062
58.	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	4 ^[x]
59.	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

2017
60.	V. A. Vatutin, E. E. D'yakonova, “How many families survive for a long time?”, Theory Probab. Appl., 61:4 (2017), 692–711

2015
61.	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	1 ^[x]
62.	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	4 ^[x]

2016
63.	V. A. Vatutin, “The structure of decomposable reduced branching processes. II. Functional limit theorems”, Theory Probab. Appl., 60:1 (2016), 103–119
64.	V. A. Vatutin, A. M. Zubkov, “In memoriam of Boris Aleksandrovich Sevastianov”, Theory Probab. Appl., 60:1 (2016), 162–171

2015
65.	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
66.	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
67.	V. A. Vatutin, E. E. D'yakonova, “Decomposable Branching Processes with a Fixed Extinction Moment”, Proc. Steklov Inst. Math., 290 (2015), 103–124

2016
68.	Vladimir A. Vatutin, Elena E. Dyakonova, “Extinction of decomposable branching processes”, Discrete Math. Appl., 26:3 (2016), 183–192, arXiv: 1509.00759

2014
69.	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	28 ^[x]

2015
70.	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

2014
71.	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.
72.	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
73.	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.	5 ^[x]
74.	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

2015
75.	V. A. Vatutin, “The structure of decomposable reduced branching processes. I. Finitedimensional distributions”, Theory Probab. Appl., 59:4 (2015), 641–662

2014
76.	Vladimir Vatutin, Macroscopic and microscopic structures of the family tree for the decomposable critical branching processes, 2014, 37 pp., arXiv: 1402.6819v1

2013
77.	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	4 ^[x]
78.	Vetvyaschiesya protsessy, sluchainye bluzhdaniya i smezhnye voprosy, Sbornik statei. Posvyaschaetsya pamyati chlena-korrespondenta RAN Borisa Aleksandrovicha Sevastyanova, Trudy MIAN, 282, ed. V. A. Vatutin, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2013, 335 pp.
79.	V. A. Vatutin, V. A. Topchii, “Critical Bellman–Harris branching processes with long-living particles”, Proc. Steklov Inst. Math., 282 (2013), 243–272
80.	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

2014
81.	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

2013
82.	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
83.	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
84.	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, 1744-1749 http://2013.isiproceedings.org/Files/STS033-P3-S.pdf

2012
85.	V. A. Vatutin, “Total Population Size in Critical Branching Processes in a Random Environment”, Math. Notes, 91:1 (2012), 12–21
86.	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	56 ^[x]
87.	V. Vatutin, X Zheng, “Subcritical branching processes in a random environment without the Cramer condition”, Stochastic Process. Appl., 122:7 (2012), 2594-2609	16 ^[x]

2013
88.	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

2012
89.	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, 45 http://probability.univ.kiev.ua/msta3conf/datas/users/msta_main.pdf
90.	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, 182–183 http://www.worldcong2012.org/ContributedTalks.pdf
91.	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
92.	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.	7 ^[x]

2011
93.	V. A. Vatutin, “Multitype branching processes with immigration in random environment, and polling systems”, Siberian Advances in Mathematics, 21:1 (2011), 42–72

2012
94.	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

2011
95.	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	21 ^[x]

2013
96.	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

2010
97.	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

2011
98.	V. A. Vatutin, “Polling systems and multitype branching processes in a random environment with final product”, Theory Probab. Appl., 55:4 (2011), 631–660

2010
99.	V. A. Vatutin, “On the Bernoulli Society for Mathematical Statistics and Probability”, Teor. Veroyatnost. i Primenen., 55:4 (2010), 820–822
100.	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
101.	S. Sagitov, P. Jagers, V. Vatutin, “Coalescent approximation for structured populations in a stationary random environment.”, Theoretical Population Biology, 78:3 (2010), 192–199	6 ^[x]
102.	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	5 ^[x]

Full list of publications