Persons: Afanasyev, Valeriy Ivanovich

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Afanasyev, Valeriy Ivanovich

Total publications:	78 (75)
in MathSciNet:	47 (47)
in zbMATH:	34 (34)
in Web of Science:	34 (34)
in Scopus:	44 (42)
Cited articles:	50
Citations:	511
Presentations:	31

Number of views:
This page:	9472
Abstract pages:	20105
Full texts:	6592
References:	1780

Associate professor

Doctor of physico-mathematical sciences (2000)

Speciality:

01.01.05 (Probability theory and mathematical statistics)

Birth date:

5.11.1952

E-mail:

Keywords:

invariance principles, Brownian excursion, Galton-Watson process.

UDC:

519.21, 519.2

Subject:

Branching processes, random walks.

Main publications:

Afanasev V. I., Sluchainye bluzhdaniya i vetvyaschiesya protsessy, Lektsionnye kursy NOTs, 6, MIAN, 2007
Afanasev V. I., “Zakon arksinusa dlya vetvyaschikhsya protsessov v sluchainoi srede i protsessov Galtona–Vatsona”, Teoriya veroyatnostei i ee primeneniya, 51:3 (2006), 449–464
Afanasev V. I., “Predelnye teoremy dlya promezhutochno dokriticheskogo i strogo dokriticheskogo vetvyaschikhsya protsessov v sluchainoi srede”, Diskretnaya matematika, 13:1 (2001), 132–157

https://www.mathnet.ru/eng/person26245

List of publications on Google Scholar

https://zbmath.org/authors/?q=ai:afanasev.v-i

https://mathscinet.ams.org/mathscinet/MRAuthorID/240514

https://elibrary.ru/author_items.asp?authorid=12606

https://www.webofscience.com/wos/author/record/Q-5041-2016

https://www.scopus.com/authid/detail.url?authorId=7003547624

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	V. I. Afanasyev, J. Geiger, G. Kersting, V. A. Vatutin, “Criticality for branching processes in random environment”, Ann. Probab., 33:2 (2005), 645–673	147 ^[x]
2.	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	49 ^[x]
3.	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	39 ^[x]
4.	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	24 ^[x]
5.	V. I. Afanasyev, “On the maximum of a critical branching process in a random environment”, Discrete Math. Appl., 9:3 (1999), 267–284
6.	V. I. Afanasyev, “A limit theorem for a critical branching process in a random environment”, Diskr. Mat., 5:1 (1993), 45–58
7.	V. I. Afanasyev, “On the maximum of a subcritical branching process in a random environment”, Stochastic Process. Appl., 93:1 (2001), 87–107	15 ^[x]
8.	V. I. Afanasyev, “Limit theorems for a moderately subcritical branching process in a random environment”, Discrete Math. Appl., 8:1 (1998), 35–52
9.	V. I. Afanasyev, “A new limit theorem for a critical branching process in a random environment”, Discrete Math. Appl., 7:5 (1997), 497–513
10.	V. I. Afanasyev, “Functional limit theorems for the decomposable branching process with two types of particles”, Discrete Math. Appl., 26:2 (2016), 71–88
11.	V. I. Afanasyev, “About time of reaching a high level by a random walk in a random environment”, Theory Probab. Appl., 57:4 (2013), 547–567
12.	V. I. Afanasyev, “Limit theorems for an intermediately subcritical and a strongly subcritical branching process in a random environment”, Discrete Math. Appl., 11:2 (2001), 105–131
13.	V. I. Afanasyev, “On a maximum of a transient random walk in random environment”, Theory Probab. Appl., 35:2 (1990), 205–215
14.	V. I. Afanasyev, “On the time of reaching a fixed level by a critical branching process in a random environment”, Discrete Math. Appl., 9:6 (1999), 627–643
15.	V. I. Afanasyev, “On a decomposable branching process with two types of particles”, Proc. Steklov Inst. Math., 294 (2016), 1–12
16.	V. I. Afanasyev, “Two-boundary problem for a random walk in a random environment”, Theory Probab. Appl., 63:3 (2019), 339–350
17.	V. I. Afanasyev, “Invariance Principle for the Critical Branching Process in a Random Environment Attaining a High Level”, Theory Probab. Appl., 54:1 (2010), 1–13
18.	V. I. Afanasyev, “Arcsine law for branching processes in a random environment and Galton–Watson processes”, Theory Probab. Appl., 51:3 (2007), 401–414
19.	V. I. Afanas'ev, “A conditional random walk with a negative drift”, Theory Probab. Appl., 24:1 (1979), 192–199
20.	V. I. Afanasyev, “On the time of attaining a high level by a transient random walk in a random environment”, Theory Probab. Appl., 61:2 (2017), 178–207
21.	V. I. Afanasyev, “Conditional limit theorem for maximum of random walk in a random environment”, Theory Probab. Appl., 58:4 (2014), 525–545
22.	V. I. Afanasyev, “A functional limit theorem for a critical branching process in a random environment”, Discrete Math. Appl., 11:6 (2001), 587–606
23.	V. I. Afanasyev, “A Functional Limit Theorem for Decomposable Branching Processes with Two Particle Types”, Math. Notes, 103:3 (2018), 337–347
24.	V. I. Afanasyev, “On the non-recurrent random walk in a random environment”, Discrete Math. Appl., 28:3 (2018), 139–156
25.	V. I. Afanasyev, “Brownian high jump”, Theory Probab. Appl., 55:2 (2011), 183–197
26.	V. I. Afanasyev, “On a conditional invariance principle for a critical Galton–Watson branching process”, Discrete Math. Appl., 15:1 (2005), 17–32
27.	V. I. Afanasev, “Funktsionalnye predelnye teoremy dlya razlozhimykh vetvyaschikhsya protsessov s dvumya tipami chastits”, Tezisy dokladov, predstavlennykh na Chetvertoi mezhdunarodnoi konferentsii po stokhasticheskim metodam, Teoriya veroyatnostei i ee primenenie, 65:1 (2020), 151-201	4 ^[x]
28.	V. I. Afanasyev, “Convergence to the local time of Brownian meander”, Discrete Math. Appl., 29:3 (2019), 149–158
29.	V. I. Afanasyev, “High Level Subcritical Branching Processes in a Random Environment”, Proc. Steklov Inst. Math., 282 (2013), 4–14
30.	V. I. Afanasyev, “Functional limit theorem for a stopped random walk attaining a high level”, Discrete Math. Appl., 27:5 (2017), 269–276
31.	V. I. Afanasyev, “Invariance principle for the critical Galton–Watson process attaining a high level”, Theory Probab. Appl., 55:4 (2011), 559–574
32.	V. I. Afanasyev, “Galton–Watson processes attaining a high level”, Theory Probab. Appl., 52:3 (2008), 509–515
33.	V. I. Afanasyev, “On the ratio between the maximal and total numbers of individuals in a critical branching process in a random environment”, Theory Probab. Appl., 48:3 (2004), 384–399
34.	V. I. Afanas'ev, “On functions of a random walk up to the hitting the negative half-axis”, Theory Probab. Appl., 31:4 (1986), 683–687
35.	V. I. Afanasyev, “Weakly supercritical branching process in unfavourable environment”, Discrete Math. Appl., 34:1 (2024), 1–13
36.	V. I. Afanasyev, “A critical branching process with immigration in random environment”, Stoch. Proc. Appl., 139 (2021), 110-138	2 ^[x]
37.	V. I. Afanasyev, “Limit theorems for a strongly supercritical branching process with immigration in random environment”, Stoch. Qual. Control, 36:2 (2021), 129-143	2 ^[x]
38.	V. I. Afanasyev, “Functional limit theorem for the local time of stopped random walk”, Discrete Math. Appl., 30:3 (2020), 147–157
39.	V. I. Afanasyev, “Functional limit theorems for high-level subcritical branching processes in random environment”, Discrete Math. Appl., 24:5 (2014), 257–272
40.	V. I. Afanasyev, “On the time of attaining a maximum by a critical branching process in a random environment and by a stopped random walk”, Discrete Math. Appl., 10:3 (2000), 243–264
41.	V. I. Afanasyev, “Weakly supercritical branching process in random environment dying at a distant moment”, Theory Probab. Appl., 68:4 (2024), 537–558
42.	V. I. Afanasyev, “On the Local Time of a Stopped Random Walk Attaining a High Level”, Proc. Steklov Inst. Math., 316 (2022), 5–25
43.	V. I. Afanasyev, “O lokalnykh vremenakh uslovnykh sluchainykh bluzhdanii”, Tezisy dokladov, predstavlennykh na Sedmoi Mezhdunarodnoi konferentsii po stokhasticheskim metodam. 1, Teoriya veroyatnostei i ee primeneniya, 67:4 (2022), 819-836	1 ^[x]
44.	V. I. Afanasyev, “On the Times of Attaining High Levels by a Random Walk in a Random Environment”, Theory Probab. Appl., 65:3 (2020), 359–374
45.	V. I. Afanasev, “Granichnye zadachi dlya sluchainogo bluzhdaniya v sluchainoi srede”, Tezisy dokladov, predstavlennykh na Tretei Mezhdunarodnoi konferentsii po stokhasticheskim metodam, Teoriya veroyatnostei i ee primenenie, 64:1 (2019), 151-204	1 ^[x]
46.	V. I. Afanasyev, “Two-sided problem for the random walk with bounded maximal increment”, Discrete Math. Appl., 31:2 (2021), 79–89
47.	V. I. Afanasyev, “New invariance principles for critical branching process in random environment”, Advances in data analysis, Stat. Ind. Technol., Birkhäuser Boston, Boston, MA, 2010, 105–115	1 ^[x]
48.	V. I. Afanasyev, “A functional limit theorem for the logarithm of a moderately subcritical branching process in a random environment”, Discrete Math. Appl., 8:4 (1998), 421–438
49.	V. I. Afanasyev, “A conditional limit theorem for additive functionals of a random walk”, Theory Probab. Appl., 35:2 (1990), 330–336
50.	V. I. Afanasyev, “Local time of a random walk up to the first passage to the semiaxis”, Math. Notes, 48:6 (1990), 1173–1177
51.	V. I. Afanasyev, “Local invariance principle for a random walk with zero drift”, J. Math. Sci. (N.Y.), 266 (2023), 850–868
52.	V. I. Afanasev, “Slabo nadkriticheskii vetvyaschiisya protsess v sluchainoi srede pri uslovii otdalennogo vyrozhdeniya”, Tezisy dokladov, predstavlennykh na Vosmoi Mezhdunarodnoi konferentsii po stokhasticheskim metodam, Teoriya veroyatnostei i ee primeneniya, 68:4 (2023), 834–877
53.	V. I. Afanasev, “Uslovnye predelnye teoremy dlya sluchainykh bluzhdanii i ikh lokalnykh vremen”, Vtoraya konferentsiya Matematicheskikh tsentrov Rossii: sbornik tezisov (7-11 noyabrya 2022 g.), izdatelstvo Moskovskogo universiteta, M., 2022, 24–26
54.	V. I. Afanasyev, “Local time of a stopped random walk and a Galton-Watson branching process”, The 5th International Workshop on Branching Processes and their Applications. Book of Abstracts (Badajoz, Spain, April 6-22, 2021), eds. Miguel Gonzalez and Ines M. del Puerto, University of Extremadura, Badajoz, Spain, 2021, 30
55.	V. I. Afanasyev, “A conditional functional limit theorem for a decomposable branching process”, Operator Theory and Harmonic Analysis. OTHA 2020, Part II – Probability-Analytical Models, Methods and Applications, Springer Proc. Math. Statist., 358, Springer, 2021, 1–18
56.	V. I. Afanasyev, “A critical branching process with immigration in random environment”, Proceedings of the 5th International Conference on Stochastic Methods (Russia, Moscow, November 23-27, 2020), Peoples Friendship University of Russia, Moscow, 2020, 11-15
57.	V. I. Afanasyev, Review of Applied and Industrial Mathematics, 24:4 (2017), 312–313
58.	V. I. Afanasev, “About time of reaching a high level by a random walk in a random environment”, Modern problems in theoretical and applied probability (Sovremennye problemy teoreticheskoi i prikladnoi veroyatnosti): sbornik materialov VI Mezhdunarodnoi konferentsii (Novosibirsk, 22–25 avgusta 2016 g.), eds. Tarasenko A.S., Redaktsionno-izdatelskii tsentr NGU, 630090, Novosibirsk-90, ul. Pirogova, 2, 2016, 11–12
59.	V. I. Afanasyev, Review of Applied and Industrial Mathematics, 23:4 (2016), 326–327
60.	V. I. Afanasyev, “On subcritical branching processes in random environment”, III Workshop on Branching Processes and their Applications. Book of Abstracts (Badajoz, Spain, April 7-10, 2015), eds. Miguel Gonzalez, University of Extremadura, Badajoz, Spain, 2015, 38–38
61.	V. I. Afanasyev, “On the time of attaining a high level by a transient random walk in random environment”, XVI-th International Summer Conference on Probability and Statistics (ISCPS-2014). Abstracts (Pomorie, Bulgaria, 21–28 June 2014), eds. N. M. Yanev, Bulgarian Academy of Sciences, Sofia, 2014, 4–5
62.	V. I. Afanasyev, “High level subcritical branching processes in a random environment”, XXXII International Seminar on Stability Problems for Stochastic Models. Book of Abstracts (Trondheim, Norway, 16–21 June 2014), eds. V. Yu. Korolev and S.Ya. Shorgin, Institute of informatics problems, RAS, Moscow, 2014, 5–6
63.	V. I. Afanasyev, Review of Applied and Industrial Mathematics, 21:4 (2014), 327–328
64.	V. I. Afanasyev, “Branching processes with immigration in random environment”, Abstracts of the 29-th European Meeting of Statisticians (Budapest, Hungary, 20–25 July 2013), eds. Laszlo Markus and Vilmos Prokaj, Haxel, 2013, 25–26
65.	V. I. Afanasyev, “Random walk in random environment conditioned to be positive: limit theorem for maximum”, 7-th International Workshop on Simulation. Book of abstracts (Rimini, Italy, 21–25 May 2013), Quaderni di Dipartimento. Serie Ricerche, 3, eds. Mariagiulia Matteucci, University of Bologna, Bologna, Italy, 2013, 25-26
66.	V. I. Afanasev, “Vetvyaschiisya protsess v sluchainoi srede, nachinayuschiisya s bolshogo chisla chastits”, Dvenadtsatyi Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (Sochi-Adler, 1–8 oktyabrya 2011 g.), Obozrenie prikl. i promyshl. matem., 18, no. 3, 2011, 410–410
67.	V. I. Afanasev, “O globalnykh kharakteristikakh kriticheskogo vetvyaschegosya protsessa v sluchainoi srede”, Devyatyi Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (Kislovodsk, 01–08 maya 2008 g.), Obozrenie prikl. i promyshl. matem., 15, no. 4, 2008, 692–693
68.	V. I. Afanasyev, Random walks and branching processes, Lekts. Kursy NOC, 6, Steklov Math. Inst., RAS, Moscow, 2007 , 188 pp.
69.	V. I. Afanasev, A. A. Bobodzhanov, V. G. Krupin, Kurs vysshei matematiki. Teoriya veroyatnostei. Lektsii i praktikum, eds. I. M. Petrushko, Lan, Sankt-Peterburg, Moskva, Krasnodar, 2007 , 352 pp.
70.	V. I. Afanasev, “Ob usloviyakh sovpadeniya mnozhestv nevyrozhdeniya i estestvennogo rosta dlya vetvyaschikhsya protsessov v izmenyayuscheisya i sluchainoi sredakh”, Vestnik MEI, 2003, no. 6, 94–105
71.	V. I. Afanasev, O. V. Zimina, A. I. Kirillov, I. M. Petrushko, T. A. Salnikova, Vysshaya matematika. Spetsialnye razdely, eds. A. I. Kirillov, FIZMATLIT, Moskva, 2001 , 400 pp.
72.	V. I. Afanasyev, “On the probability of the first passage into a fixed state for a random walk on a half-line”, Diskr. Mat., 3:1 (1991), 61–67
73.	V. I. Afanasyev, “Mean value of a function of a random walk up to the time of the first passage to the semiaxis”, Math. Notes, 42:6 (1987), 992–996
74.	V. I. Afanasyev, Diskr. Mat.
75.	V. I. Afanasyev, “A limit theorem on convergence to the local time of Brownian bridge”, Mat. Zametki, 116:5 (2024) (to appear)
76.	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
77.	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
78.	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.

Presentations in Math-Net.Ru

1.	Branching processes in random environment initiated by a large number of initial particles V. I. Afanasyev Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS September 24, 2024 16:00
2.	Ветвящийся процесс в случайной среде, начинающийся с большого числа частиц V. I. Afanasyev 9th International Conference on Stochastic Methods June 4, 2024 09:00
3.	Так ли прост суперкритический случай в теории ветвящихся процессов в случайной среде? V. I. Afanasyev Branching processes and discrete mathematics, a conference dedicated to the 100th anniversary of Sevastyanov's birth October 3, 2023 10:25
4.	Conditional limit theorems for random walks and their local times V. I. Afanasyev Steklov Mathematical Institute Seminar November 17, 2022 16:00
5.	Условные предельные теоремы для случайных блужданий и их локальных времен V. I. Afanasyev November 7, 2022 15:05
6.	On the local time of a stopped random walk attaining a high level V. Afanasyev International Conference "Branching Processes, Random Walks and Probability on Discrete Structures" June 22, 2022 10:00
7.	Критический ветвящийся процесс с иммиграцией в случайной среде V. I. Afanasyev Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2021 November 24, 2021 11:00
8.	Local times of conditional random walks and Galton-Watson branching processes Valeriy Afanasyev International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods) May 20, 2021 18:30
9.	Лекция 14. Функциональная предельная теорема для схемы серий о сходимости к процессу Пуассона V. I. Afanasyev Convergence of Random Processes December 8, 2020 13:00
10.	Лекция 13. Существование конструктивной модификации процесса Пуассона V. I. Afanasyev Convergence of Random Processes December 1, 2020 13:00
11.	Лекция 12. Фундаментальная теорема Колмогорова о максимуме отклонения выборочной функции распределения от истинной V. I. Afanasyev Convergence of Random Processes November 24, 2020 13:00
12.	Лекция 11. Функциональная предельная теорема для отклонения выборочной функции распределения от истинной V. I. Afanasyev Convergence of Random Processes November 17, 2020 13:00
13.	Лекция 10. Принцип инвариантности Лиггетта V. I. Afanasyev Convergence of Random Processes November 10, 2020 13:00
14.	Лекция 9. Броуновский мост V. I. Afanasyev Convergence of Random Processes November 3, 2020 13:00
15.	Лекция 8. Приложения принципа инвариантности Донскера-Прохорова V. I. Afanasyev Convergence of Random Processes October 27, 2020 13:00
16.	Лекция 7. Принцип инвариантности Донскера-Прохорова V. I. Afanasyev Convergence of Random Processes October 20, 2020 13:00
17.	Лекция 6. Условия сходимости по распределению случайных процессов с траекториями без разрывов второго рода V. I. Afanasyev Convergence of Random Processes October 13, 2020 13:00
18.	Лекция 5. Условия сходимости по распределению случайных процессов с непрерывными траекториями V. I. Afanasyev Convergence of Random Processes October 6, 2020 13:00
19.	Лекция 4. Свойства сходимости по распределению V. I. Afanasyev Convergence of Random Processes September 29, 2020 13:00
20.	Лекция 3. Сходимость по распределению. Теорема Александрова V. I. Afanasyev Convergence of Random Processes September 22, 2020 13:00
21.	Лекция 2. Теорема Колмогорова о существовании непрерывной модификации V. I. Afanasyev Convergence of Random Processes September 15, 2020 13:00
22.	Лекция 1. Понятие случайного процесса и его распределение V. I. Afanasyev Convergence of Random Processes September 8, 2020 13:00
23.	Критический ветвящийся процесс с иммиграцией в случайной среде V. I. Afanasyev Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS November 12, 2019 15:00
24.	Conditional distributions of the moment of the exit of a random walk in a random environment V. I. Afanasyev Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2018 November 21, 2018 15:15
25.	Functional limit theorems for a decomposable branching process V. I. Afanasyev Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005 November 19, 2018 15:30
26.	Functional limit theorems for branching processes in random environment V. I. Afanasyev Steklov Mathematical Institute Seminar April 25, 2013 16:00
27.	Ветвящийся процесс с иммигрантами в случайной среде V. I. Afanasyev Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS May 29, 2012 16:00
28.	О времени достижения высокого уровня случайным блужданием в случайной среде V. I. Afanasyev Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS April 24, 2012 16:00
29.	Случайные блуждания и ветвящиеся процессы V. I. Afanasyev Principle Seminar of the Department of Probability Theory, Moscow State University November 28, 2007 16:45
30.	Об условных принципах инвариантности для случайных блужданий V. I. Afanasyev Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS April 11, 2006
31.	Закон арксинуса для ветвящихся процессов в случайной среде и для процессов Гальтона–Ватсона V. I. Afanasyev Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS March 29, 2005

Books in Math-Net.Ru

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
V. I. Afanas'ev, Random walks and branching processes, Lekts. Kursy NOC, 6, 2007, 188 с.
http://mi.mathnet.ru/book648

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