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.
Vladimir Vatutin, Elena Dyakonova, Ya. Khusanbaev, Small deviations for critical Galton-Watson processes with infinite variance, 2025 , 30 pp., arXiv: 2505.10137
4.
V. A. Vatutin, E .E. Dyakonova, Reduced critical branching processes in non-favorable random environment, 2025 , 39 pp., arXiv: 2506.18063
5.
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
6.
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
7.
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
8.
V. Vatutin, E. Dyakonova, On the prospective minimum of the random walk conditioned to stay non-negative, 2024 , 34 pp., arXiv: 2409.02215
9.
Vladimir A. Vatutin, Elena E. Dyakonova, “Branching processes under nonstandard conditions”, Stoch. Qual. Control, 39:1 (2024), 59–68
10.
V. A. Vatutin, E. E. Dyakonova, “Letter to the Edinor”, Teor. Veroyatnost. i Primenen.
11.
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
12.
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
13.
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
14.
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
15.
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
16.
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
17.
V. A. Vatutin, E. E. Dyakonova, “Critical branching processes evolving in a unfavorable random environment”, Discrete Math. Appl., 34:3 (2024), 175–186
18.
V. Vatutin, E. Dyakonova, Critical branching processes evolving in an unfavorable random environment, 2022 , 15 pp., arXiv: 2209.13611
19.
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
20.
E. E. Dyakonova, Intermediately subcritical branching process in random environment: the initial stage of the evolution, 2021 , 23 pp., arXiv: 2110.01836
21.
V. A. Vatutin, E. E. Dyakonova, “Multitype branching processes in random environment”, Russian Math. Surveys, 76:6 (2021), 1019–1063
22.
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
23.
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
26.
V. A. Vatutin, E. E. D'yakonova, “Properties of multitype subcritical branching processes in random environment”, Discrete Math. Appl., 31:5 (2021), 367–382
27.
Vladimir Vatutin, Elena Dyakonova, Survival probability for a class of multitype subcritical branching processes in random environment, 2019 , 16 pp., arXiv: 1903.12491
28.
V. A. Vatutin, E. E. D'yakonova, “Multitype weakly subcritical branching processes in random environment”, Discrete Math. Appl., 31:3 (2021), 207–222
29.
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
30.
V. A. Vatutin, E. E. D'yakonova, “Decomposable branching processes with two types of particles”, Discrete Math. Appl., 28:2 (2018), 119–130
31.
E. E. D'yakonova, “A subcritical decomposable branching process in a mixed environment”, Discrete Math. Appl., 28:5 (2018), 275–283
32.
V. A. Vatutin, E. E. Dyakonova, Branching processes in random environment with sibling dependence, 2018 , 14 pp., arXiv: 1812.10304
33.
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
35.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 24:5 (2017), 587
36.
V. A. Vatutin, E. E. D'yakonova, “How many families survive for a long time?”, Theory Probab. Appl., 61:4 (2017), 692–711
37.
V. A. Vatutin, E. E. Dyakonova, How many families survive for a long time?, 2016 , 23 pp., arXiv: 1608.08062
38.
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
39.
Elena E. D'yakonova, “Reduced multitype critical branching processes in random environment”, Discrete Math. Appl., 28:1 (2018), 7–22
40.
E. E. D'yakonova, “Limit theorem for multitype critical branching process evolving in random environment”, Discrete Math. Appl., 25:3 (2015), 137–147
41.
V. A. Vatutin, E. E. D'yakonova, “Decomposable Branching Processes with a Fixed Extinction Moment”, Proc. Steklov Inst. Math., 290 (2015), 103–124
42.
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
43.
Vladimir A. Vatutin, Elena E. Dyakonova, “Extinction of decomposable branching processes”, Discrete Math. Appl., 26:3 (2016), 183–192
44.
E. E. Dyakonova, “Branching processes in a Markov random environment”, Discrete Math. Appl., 24:6 (2014), 327–343
45.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 21:5 (2014), 577
46.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 21:2 (2014), 325
47.
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
48.
E. E. D'yakonova, “Multitype Subcritical Branching Processes in a Random Environment”, Proc. Steklov Inst. Math., 282 (2013), 80–89
49.
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
50.
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
51.
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
52.
E. E. D'yakonova, Review of Applied and Industrial Mathematics, 20:3 (2013), 389
53.
E. E. D'yakonova, “Multitype branching processes evolving in a Markovian environment”, Discrete Math. Appl., 22:5-6 (2012), 639–664
54.
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
55.
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
56.
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
58.
E. E. D'yakonova, “Multitype Galton–Watson branching processes in Markovian random environment”, Theory Probab. Appl., 56:3 (2011), 508–517
59.
E. E. Dyakonova, “Uslovnaya predelnaya teorema dlya mnogotipnogo dokriticheskogo vetvyaschegosya protsessa v sluchainoi srede”, Obozr. prikl. i prom. matem., 18:4 (2011)
60.
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
61.
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
62.
E. E. Dyakonova, “Predelnaya teorema dlya mnogomernogo dokriticheskogo vetvyaschegosya protsessa v sluchainoi srede”, Obozr. prikl. i prom. matem., 16:1 (2009), 194–195
63.
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
64.
V. A. Vatutin, E. E. D'yakonova, “Waves in Reduced Branching Processes in a Random Environment”, Theory Probab. Appl., 53:4 (2009), 679–695
65.
E. E. D'yakonova, “Critical multitype branching processes in a random environment”, Discrete Math. Appl., 17:6 (2007), 587–606
66.
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
67.
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
68.
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
69.
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
70.
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
71.
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
72.
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
73.
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
76.
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
80.
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
81.
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
82.
E. E. D'yakonova, “A branching process with migration in a random environment”, Discrete Math. Appl., 7:1 (1997), 33–45
83.
E. E. D'yakonova, “Branching processes that are close to critical with migration”, Theory Probab. Appl., 41:1 (1997), 151–156
84.
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
86.
E. E. D'yakonova, “On the Galton–Watson process with immigration”, J. Math. Sci., 72:1 (1994), 2880–2882
87.
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
88.
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
89.
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
90.
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
91.
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
92.
E. E. Dyakonova, “Nekotorye distsipliny obsluzhivaniya bolshogo paketa zayavok”, Vestn. Mosk. un-ta. Ser. I Matem. Mekh., 1985, no. 1, 36–42
93.
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.
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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
95.
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
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
