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Afanasyev Valeriy Ivanovich
(recent publications)

by years

scientific publications

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1.	V. I. Afanasyev, Teor. Veroyatnost. i Primenen. (to appear)

2026
2.	V. I. Afanasyev, “Limit theorems for functionals of a branching process in random environment starting with a large number of particles”, Sb. Math., 217:1 (2026), 1–26
3.	V. I. Afanasyev, “Local theorems for the duration of excursions of a discrete bridge”, Math. Notes, 119:5 (2026), 795–811
4.	V. I. Afanasyev, “Limit theorem on convergence to the local time of a brownian excursion”, Journal of the Belarusian State University. Mathematics and Informatics, 2026, no. 1, 36–52
5.	V. I. Afanasev, “Dokriticheskii vetvyaschiisya protsess v sluchainoi srede, nachinayuschiisya s bolshogo chisla chastits”, VI konferentsiya matematicheskikh tsentrov Rossii. Tezisy dokladov (Kazan, 17-22 avgusta 2026 g.), UDK 51+53, BBK 22, Izdatelstvo KFU, g. Kazan, 2026, 375

2025
6.	V. I. Afanasyev, “A branching process in a random environment, starting with a large number of particles”, Theory Probab. Appl., 70:1 (2025), 1–23
7.	V. I. Afanasyev, “Distributions of lengths of excursions of a Brownian bridge”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proc. of the XIV Intern. Conf. (Minsk, Sept. 24-27, 2025), ISBN 978-985-881-830-2, eds. Yu. Kharin et al., BSU, Minsk, 2025, 13-15
8.	V. I. Afanasev, “Predelnye teoremy dlya funktsionalov ot vetvyaschegosya protsessa v sluchainoi srede, nachinayuschegosya s bolshogo chisla chastits”, Tezisy dokladov, predstavlennykh na Desyatoi Mezhdunarodnoi konferentsii po stokhasticheskim metodam, Teoriya veroyatnostei i ee primeneniya, 70:3 (2025), 552-607

2024
9.	V. I. Afanasyev, “Strongly supercritical branching process in a random environment dying at a distant moment”, Diskr. Mat., 36:1 (2024), 3–14
10.	V. I. Afanasyev, “Limit theorem on the convergence to the local time of a Brownian bridge”, Math. Notes, 116:5 (2024), 875–891
11.	V. I. Afanasev, “Vetvyaschiisya protsess v sluchainoi srede, nachinayuschiisya s bolshogo chisla chastits”, Tezisy dokladov, predstavlennykh na Devyatoi Mezhdunarodnoi konferentsii po stokhasticheskim metodam, Teoriya veroyatnostei i ee primeneniya, 69:4 (2024), 800-835	2 ^[x]
12.	V. I. Afanasev, “Predelnaya teorema o skhodimosti k lokalnomu vremeni brounovskogo mosta”, XIV Belorusskaya matematicheskaya konferentsiya, posvyaschennaya 65-letiyu instituta matematiki NAN Belarusi, Materialy Mezhdunarodnoi nauchnoi konferentsii. V trekh chastyakh. Chast 2 (Minsk, Belarus, 28 oktyabrya–1 noyabrya 2024 g.), Sostavitel Busel T. S., Izdatelskii dom “Belaruskaya navuka”, g. Minsk, 2024, 120-121 https://www.mathnet.ru/ConfLogos/2386/2386-Abstracts.pdf

2023
13.	V. I. Afanasyev, “Local invariance principle for a random walk with zero drift”, J. Math. Sci. (N.Y.), 266 (2023), 850–868	1 ^[x]

2024
14.	V. I. Afanasyev, “Weakly supercritical branching process in random environment dying at a distant moment”, Theory Probab. Appl., 68:4 (2024), 537–558

2023
15.	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	2 ^[x]

2022
16.	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.
17.	V. I. Afanasyev, “On the Local Time of a Stopped Random Walk Attaining a High Level”, Proc. Steklov Inst. Math., 316 (2022), 5–25
18.	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
19.	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

2024
20.	V. I. Afanasyev, “Weakly supercritical branching process in unfavourable environment”, Discrete Math. Appl., 34:1 (2024), 1–13

2022
21.	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	3 ^[x]
22.	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

2021
23.	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
24.	V. I. Afanasyev, “A critical branching process with immigration in random environment”, Stoch. Proc. Appl., 139 (2021), 110-138	5 ^[x]
25.	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
26.	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]

2020
27.	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
28.	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	5 ^[x]
29.	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

2019
30.	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]

2021
31.	V. I. Afanasyev, “Two-sided problem for the random walk with bounded maximal increment”, Discrete Math. Appl., 31:2 (2021), 79–89

2020
32.	V. I. Afanasyev, “Functional limit theorem for the local time of stopped random walk”, Discrete Math. Appl., 30:3 (2020), 147–157

2018
33.	V. I. Afanasyev, “A Functional Limit Theorem for Decomposable Branching Processes with Two Particle Types”, Math. Notes, 103:3 (2018), 337–347

2019
34.	V. I. Afanasyev, “Two-boundary problem for a random walk in a random environment”, Theory Probab. Appl., 63:3 (2019), 339–350

2017
35.	V. I. Afanasyev, Review of Applied and Industrial Mathematics, 24:4 (2017), 312–313

2019
36.	V. I. Afanasyev, “Convergence to the local time of Brownian meander”, Discrete Math. Appl., 29:3 (2019), 149–158

2017
37.	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

2016
38.	V. I. Afanasyev, “On a decomposable branching process with two types of particles”, Proc. Steklov Inst. Math., 294 (2016), 1–12

2017
39.	V. I. Afanasyev, “Functional limit theorem for a stopped random walk attaining a high level”, Discrete Math. Appl., 27:5 (2017), 269–276

2018
40.	V. I. Afanasyev, “On the non-recurrent random walk in a random environment”, Discrete Math. Appl., 28:3 (2018), 139–156

2016
41.	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
42.	V. I. Afanasyev, Review of Applied and Industrial Mathematics, 23:4 (2016), 326–327
43.	V. I. Afanasyev, “Functional limit theorems for the decomposable branching process with two types of particles”, Discrete Math. Appl., 26:2 (2016), 71–88

2015
44.	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

2014
45.	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]
46.	V. I. Afanasyev, “Functional limit theorems for high-level subcritical branching processes in random environment”, Discrete Math. Appl., 24:5 (2014), 257–272
47.	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
48.	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
49.	V. I. Afanasyev, Review of Applied and Industrial Mathematics, 21:4 (2014), 327–328

2013
50.	V. I. Afanasyev, “High Level Subcritical Branching Processes in a Random Environment”, Proc. Steklov Inst. Math., 282 (2013), 4–14
51.	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
52.	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

2014
53.	V. I. Afanasyev, “Conditional limit theorem for maximum of random walk in a random environment”, Theory Probab. Appl., 58:4 (2014), 525–545

2012
54.	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]

2013
55.	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

2011
56.	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
57.	V. I. Afanasyev, “Invariance principle for the critical Galton–Watson process attaining a high level”, Theory Probab. Appl., 55:4 (2011), 559–574
58.	V. I. Afanasyev, “Brownian high jump”, Theory Probab. Appl., 55:2 (2011), 183–197

2010
59.	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]

Full list of publications