V. A. Vatutin, E. E. Dyakonova, “Reduced critical branching processes in non-favorable random environment”, Contemporary Mathematics and Its Applications: Proceedings of Sino-Russian Mathematical Meetings, Collected papers, Trudy Mat. Inst. Steklova, 330, Steklov Math. Inst., Moscow, 2025 (to appear)
2.
V. A. Vatutin, E. E. Dyakonova, Ya. M. Khusanbaev, “Small deviation probabilities for critical Galton-Watson process with infinite variance of the offspring number of particles”, Mat. Sb.
3.
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
4.
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
5.
Vladimir A. Vatutin, Elena E. Dyakonova, “Branching processes under nonstandard conditions”, Stoch. Qual. Control, 39:1 (2024), 59–68
6.
V. A. Vatutin, E. E. Dyakonova, “Letter to the Edinor”, Teor. Veroyatnost. i Primenen.
7.
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
8.
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
9.
E. E. Dyakonova, “Intermediately Subcritical Branching Process in a Random Environment: The Initial Stage of the Evolution”, Proc. Steklov Inst. Math., 316 (2022), 121–136
10.
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
11.
V. A. Vatutin, E. E. Dyakonova, “Critical branching processes evolving in a unfavorable random environment”, Discrete Math. Appl., 34:3 (2024), 175–186
12.
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
13.
V. A. Vatutin, E. E. Dyakonova, “Multitype branching processes in random environment”, Russian Math. Surveys, 76:6 (2021), 1019–1063
14.
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
15.
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
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
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
18.
V. A. Vatutin, E. E. D'yakonova, “Properties of multitype subcritical branching processes in random environment”, Discrete Math. Appl., 31:5 (2021), 367–382
19.
V. A. Vatutin, E. E. D'yakonova, “Multitype weakly subcritical branching processes in random environment”, Discrete Math. Appl., 31:3 (2021), 207–222
20.
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
21.
V. A. Vatutin, E. E. D'yakonova, “Decomposable branching processes with two types of particles”, Discrete Math. Appl., 28:2 (2018), 119–130
22.
E. E. D'yakonova, “A subcritical decomposable branching process in a mixed environment”, Discrete Math. Appl., 28:5 (2018), 275–283
23.
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
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
25.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 24:5 (2017), 587
26.
V. A. Vatutin, E. E. D'yakonova, “How many families survive for a long time?”, Theory Probab. Appl., 61:4 (2017), 692–711
27.
Elena E. D'yakonova, “Reduced multitype critical branching processes in random environment”, Discrete Math. Appl., 28:1 (2018), 7–22
28.
E. E. D'yakonova, “Limit theorem for multitype critical branching process evolving in random environment”, Discrete Math. Appl., 25:3 (2015), 137–147
29.
V. A. Vatutin, E. E. D'yakonova, “Decomposable Branching Processes with a Fixed Extinction Moment”, Proc. Steklov Inst. Math., 290 (2015), 103–124
30.
Vladimir A. Vatutin, Elena E. Dyakonova, “Extinction of decomposable branching processes”, Discrete Math. Appl., 26:3 (2016), 183–192
31.
E. E. Dyakonova, “Branching processes in a Markov random environment”, Discrete Math. Appl., 24:6 (2014), 327–343
32.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 21:5 (2014), 577
33.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 21:2 (2014), 325
34.
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
35.
E. E. D'yakonova, “Multitype Subcritical Branching Processes in a Random Environment”, Proc. Steklov Inst. Math., 282 (2013), 80–89
36.
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
37.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 20:3 (2013), 389
38.
E. E. D'yakonova, “Multitype branching processes evolving in a Markovian environment”, Discrete Math. Appl., 22:5-6 (2012), 639–664
39.
V. Vatutin, E. Dyakonova, P. Jagers, S. Sagitov, “A decomposable branching process in a Markovian environment”, J. Appl. Math. Stoch. Anal., 2012 (2012), 694285–24
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 19:5 (2012), 693
41.
E. E. D'yakonova, “Multitype Galton–Watson branching processes in Markovian random environment”, Theory Probab. Appl., 56:3 (2011), 508–517
42.
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
43.
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
44.
E. Dyakonova, “On subcritical multi-type branching process in random environment”, Fifth Colloquium on Mathematics and Computer Science, Discrete Math. Theor. Comput. Sci. Proc., AG, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2008, 397–404
45.
V. A. Vatutin, E. E. D'yakonova, “Waves in Reduced Branching Processes in a Random Environment”, Theory Probab. Appl., 53:4 (2009), 679–695
46.
E. E. D'yakonova, “Critical multitype branching processes in a random environment”, Discrete Math. Appl., 17:6 (2007), 587–606
47.
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
48.
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
49.
E. Dyakonova, “Survival probability of a critical multi-type branching process in random environment”, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, Discrete Math. Theor. Comput. Sci. Proc., AG, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2006, 375–379
50.
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
51.
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
52.
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
53.
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
54.
V. A. Vatutin, E. E. Dyakonova, “Multitype branching processes and some queueing systems”, Proceedings of the Seminar on Stability Problems for Stochastic Models, Part II (Eger, 2001), J. Math. Sci. (New York), 111, no. 6, 2002, 3901–3911
E. E. Dyakonova, “On multitype branching processes in a random environment”, Proceedings of the Seminar on Stability Problems for Stochastic Models, Part I (Eger, 2001), J. Math. Sci. (New York), 111, no. 3, 2002, 3537–3540
V. Vatutin, E. Dyakonova, “Reduced branching processes in random environment”, Mathematics and computer science, II (Versailles, 2002), Trends Math., Birkhäuser, Basel, 2002, 455–467
57.
V. A. Vatutin, E. E. Dyakonova, “The survival probability of a critical multitype Galton-Watson branching process”, Proceedings of the Seminar on Stability Problems for Stochastic Models, Part II (Nalęczow, 1999), J. Math. Sci. (New York), 106, no. 1, 2001, 2752–2759
E. E. Dyakonova, “On a multitype Galton–Watson process with state-dependent immigration”, Proceedings of the 19th Seminar on Stability Problems for Stochastic Models, Part I (Vologda, 1998), J. Math. Sci. (New York), 99, no. 3, 2000, 1244–1249
E. E. Dyakonova, “Diffusion approximation of branching migration processes”, Proceedings of the 18th Seminar on Stability Problems for Stochastic Models, Part III (Hajdúszoboszló, 1997), J. Math. Sci. (New York), 93, no. 4, 1999, 511–514
E. E. D'yakonova, “The asymptotics of the probability of nonextinction of a multidimensional branching process in a random environment”, Discrete Math. Appl., 9:2 (1999), 119–136
61.
E. E. Dyakonova, “Transition phenomena for a Galton–Watson process with immigration in a Markovian environment”, Proceedings of the XVII Seminar on Stability Problems for Stochastic Models, Part II (Kazan', 1995), J. Math. Sci., 83, no. 3, 1997, 397–400
62.
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
63.
E. E. D'yakonova, “A branching process with migration in a random environment”, Discrete Math. Appl., 7:1 (1997), 33–45
64.
E. E. D'yakonova, “Branching processes that are close to critical with migration”, Theory Probab. Appl., 41:1 (1997), 151–156
65.
E. E. Dyakonova, “Transition phenomena for branching processes in a random environment”, Proceedings of the XVI Seminar on Stability Problems for Stochastic Models, Part II (Eger, 1994), J. Math. Sci., 78, no. 1, 1996, 48–53
E. E. Dyakonova, “On transient phenomena for branching migration processes”, Probabilistic methods in discrete mathematics (Petrozavodsk, 1992), Progr. Pure Appl. Discrete Math., 1, VSP, Utrecht, 1993, 148–154
67.
E. E. D'yakonova, “On the Galton–Watson process with immigration”, J. Math. Sci., 72:1 (1994), 2880–2882
68.
E. E. D'yakonova, V. G. Mikhailov, “Sufficient conditions for asymptotic normality of decomposable statistics in an inhomogeneous allocation scheme”, Discrete Math. Appl., 2:3 (1992), 325–335
69.
E. E. D'yakonova, K. P. Belyaev, “Limit theorems for priority queueing systems with batch processing in heavy traffic. I”, Moscow Univ. Comput. Math. Cybernet., 1989, no. 4, 59–63
70.
E. E. D'yakonova, K. P. Belyaev, “Estimates of the speed of convergence in the limit theorems for batch-processing systems with heavy traffic”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 1, 65–70
71.
E. E. Dyakonova, “A system with multiple servicing in the case of a small load”, Vestn. Mosk. un-ta. Ser. I Matem. Mekh., 1987, no. 3, 41–43
72.
E. E. D'yakonova, A. D. Solov'yev, “A single-line system with group serving under heavy load conditions”, Soviet J. Comput. Systems Sci., 25:4 (1987), 74–79
73.
E. E. Dyakonova, “Nekotorye distsipliny obsluzhivaniya bolshogo paketa zayavok”, Vestn. Mosk. un-ta. Ser. I Matem. Mekh., 1985, no. 1, 36–42
Proceedings
74.
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
75.
E. E. Dyakonova, “Predelnaya teorema dlya razlozhimogo vetvyaschegosya protsessa v sluchainoi srede”, XVI Vserossiiskii Simpozium po prikladnoi i promyshlennoi matematike (Sochi–Dagomys, 27 sentyabrya – 4 oktyabrya 2015 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 22, no. 5, TVP, M., 2015 http://tvp.ru/conferen/vsppm16/chelso146.pdf
76.
E. E. Dyakonova, “Branching processes in random environment”, XXXI International Seminar on Stability Problems for Stochastic Models, Book of Abstracts (Moscow, 23–27 April 2013), Institute of Informatics Problems, Russian Academy of Science, Moscow, 2013, 20–21
77.
E. E. Dyakonova, “O mnogotipnom dokriticheskom protsesse Galtona–Vatsona v sluchainoi srede” (Novgorod, 01–08 oktyabrya, 2013 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 20 (2013), 389
78.
E. E. Dyakonova, “Multitype branching processes in Markovian random environment”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i ee prilozheniya», posvyaschennaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya 2012 g.), Tezisy dokladov, eds. A. N. Shiryaev, A. V. Lebedev, LENAND, Moskva, 2012, 93–94
79.
E. E. Dyakonova, “O maksimume vetvyaschegosya protsessa v markovskoi sluchainoi srede” (Sochi, 01–08 oktyabrya 2012 g.), Obozr. prikl. i prom. matem., 19 (2012), 763
80.
E. E. Dyakonova, “Uslovnaya predelnaya teorema dlya mnogotipnogo dokriticheskogo vetvyaschegosya protsessa v sluchainoi srede”, Obozr. prikl. i prom. matem., 18:4 (2011)
81.
E. E. Dyakonova, “Predelnaya teorema dlya mnogomernogo dokriticheskogo vetvyaschegosya protsessa v sluchainoi srede”, Obozr. prikl. i prom. matem., 16:1 (2009), 194–195
ArXiv
82.
Vladimir Vatutin, Elena Dyakonova, Ya. Khusanbaev, Small deviations for critical Galton-Watson processes with infinite variance, 2025 , 30 pp., arXiv: 2505.10137
83.
V. A. Vatutin, E .E. Dyakonova, Reduced critical branching processes in non-favorable random environment, 2025 , 39 pp., arXiv: 2506.18063
84.
V. Vatutin, E. Dyakonova, On the prospective minimum of the random walk conditioned to stay non-negative, 2024 , 34 pp., arXiv: 2409.02215
85.
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
86.
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
87.
V. Vatutin, E. Dyakonova, Critical branching processes evolving in an unfavorable random environment, 2022 , 15 pp., arXiv: 2209.13611
88.
E. E. Dyakonova, Intermediately subcritical branching process in random environment: the initial stage of the evolution, 2021 , 23 pp., arXiv: 2110.01836
89.
Vladimir Vatutin, Elena Dyakonova, Survival probability for a class of multitype subcritical branching processes in random environment, 2019 , 16 pp., arXiv: 1903.12491
90.
V. A. Vatutin, E. E. Dyakonova, Branching processes in random environment with sibling dependence, 2018 , 14 pp., arXiv: 1812.10304
91.
V. A. Vatutin, E. E. Dyakonova, How many families survive for a long time?, 2016 , 23 pp., arXiv: 1608.08062
92.
V. A. Vatutin, E. E. Dyakonova, Multitype branching processes evolving in i.i.d. random environment: probability of survival for the critical case, 2016 , 20 pp., arXiv: 1612.00681
Personalia
93.
V. I. Afanasyev, V. G. Mikhailov, E. E. Dyakonova, “Andrei Mikhailovich Zubkov: On the occasion of his 75th birthday”, Proc. Steklov Inst. Math., 316 (2022), 1–2
94.
V. I. Afanasyev, V. G. Mikhailov, E. E. Dyakonova, “Vladimir Alekseevich Vatutin: On the occasion of his 70th birthday”, Proc. Steklov Inst. Math., 316 (2022), 3–4
Miscellaneous
95.
Vetvyaschiesya protsessy i smezhnye voprosy, Sbornik statei. K 75-letiyu so dnya rozhdeniya Andreya Mikhailovicha Zubkova i 70-letiyu so dnya rozhdeniya Vladimira Alekseevicha Vatutina, Trudy MIAN, 316, ed. V. I. Afanasev, V. G. Mikhailov, E. E. Dyakonova, MIAN, M., 2022 , 390 pp.
Branching Processes and Related Topics, Collected papers. On the occasion of the 75th birthday of Andrei Mikhailovich Zubkov and 70th birthday of Vladimir Alekseevich Vatutin, Trudy Mat. Inst. Steklova, 316, ed. V. I. Afanasyev, V. G. Mikhailov, E. E. Dyakonova, 2022, 390 с. http://mi.mathnet.ru/book1875