Persons: Zubkov, Andrei Mikhailovich

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Zubkov, Andrei Mikhailovich

Total publications:	158 (131)
in MathSciNet:	77 (68)
in zbMATH:	49 (46)
in Web of Science:	31 (29)
in Scopus:	38 (35)
Cited articles:	56
Citations:	585
Presentations:	14

Number of views:
This page:	15138
Abstract pages:	43034
Full texts:	18839
References:	2630

Senior Researcher

Doctor of physico-mathematical sciences (1982)

Speciality:

01.01.05 (Probability theory and mathematical statistics)

Birth date:

30.12.1946

E-mail:

Keywords:

branching processes, discrete probability problems, probabilistic inequalities, applications of discrete probability.

Subject:

Nesessary and sufficient conditions for almost sure extinction of bounded branching processes were established for discrete and for continuous time. Limit theorems were proved for: a) $\varphi$–branching processes, b) critical decomposable branching processes with two types of particles and infinite second moments of offsprings, c) distance to the nearest mutual ancestor of all simultaneously existing particles in a branching process, d) conditional distributions of the number of particles on the life spans of branching process with immigration.

Limit distributions of a statistical estimate for the entropy of the polynomial distribution with growing number of outcomes were described. Explicit estimates of the rate of convergence of renewal density were found. Limit theorems and inequalities for distributions of random variables related with repeating tuples of outcomes in iid sequence were proved (in joint papers with V. G. Mihailov). Explicit inequalities for the accuracy of Poisson or compound Poisson approximations for the distributions of sums of functions of independent random variables were obtained. Explicit inequalities for taboo probabilities in Markov chains; these inequalities were used in the proofs of limit theorems for the time to the first occurence of rare event and for the frequencies of outcomes in a trajectories of discrete Markov chains with growing state space. A method to prove probabilistic inequalities by means of quadratic forms was elaborated and applied to the probabilities of the union of events, to the moments of ratios of positive random variables, to the generating functions and to the Laplace transforms.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1970 (department of probability theory). Ph.D. thesis was defended in 1972. D.Sci. thesis was defended in 1982. A list of papers contains more than 40 titles.

https://www.mathnet.ru/eng/person17777

List of publications on Google Scholar

https://zbmath.org/authors/ai:zubkov.andreii-mikhailovich|zubkov.andrey-m

https://mathscinet.ams.org/mathscinet/MRAuthorID/198253

https://elibrary.ru/author_items.asp?authorid=164

https://orcid.org/0000-0003-3110-6601

https://www.webofscience.com/wos/author/record/Q-4919-2016

https://www.scopus.com/authid/detail.url?authorId=7006106813

https://www.researchgate.net/profile/Zubkov_Andrei

List of publications:

scientific publications

by years

by types

by times cited

common list

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


2024
1.	Yu. S. Kharin, A. M. Zubkov, “On statistical testing of composite hypotheses on $s$-dimensional uniform probability distribution of binary sequences”, Diskr. Mat., 36:1 (2024), 116–135

2023
2.	A. M. Zubkov, A. A. Serov, “Experimental study of NIST Statistical Test Suite ability to detect long repetitions in binary sequences”, Matem. vopr. kriptogr., 14:2 (2023), 137–145 ;	3 ^[x]
3.	A. M. Zubkov, “Iteratsii sluchainykh otobrazhenii konechnykh mnozhestv”, Materialy II mezhdunarodnoi konferentsii “Teoreticheskaya i prikladnaya kriptografiya” (Minsk, 19–20 oktyabrya 2023g.), BGU, Minsk, 2023, 76–84
4.	A. M. Zubkov, “Statistical tests for uniformity of distribution and independence of vectors based on pairwise distances”, Matem. vopr. kriptogr., 14:3 (2023), 55–70

2022
5.	M. V. Filina, A. M. Zubkov, “Computation of distributions of the Kolmogorov-Smirnov statistic for finite samples”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proceedings of the XIII International Conference (Minsk, Sepmember, 6–10, 2022), eds. Yu. Kharin et al., BSU, Minsk, 2022, 31–33
6.	A. M. Zubkov, A.!A.Serov, “Notes on the independence of tests and on the completeness of NIST package”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proceedings of the XIII International Conference (Minsk, Sepmember, 6–10, 2022), eds. Yu. Kharin et al., BSU, Minsk, 2022, 241–244

2024
7.	A. M. Zubkov, P. V. Khalipov, “Probability that given vertices belong to the same connected component of random equiprobable mapping”, Discrete Math. Appl., 34:4 (2024), 245–250

2021
8.	A. M. Zubkov, A. A. Serov, “A natural approach to the experimental study of dependence between statistical tests”, Matem. vopr. kriptogr., 12:1 (2021), 131–142 ;	14 ^[x]
9.	A. M. Zubkov, “Entropy as the quality characteristic of random sequences”, Mat. Vopr. Kriptogr., 12:3 (2021), 31–48

2020
10.	A. M. Zubkov, G. I. Ivchenko, Yu. I. Medvedev, “The roots of generating functions and sums of integer-valued random variables”, Mat. Vopr. Kriptogr., 11:1 (2020), 27–46

2022
11.	A. M. Zubkov, M. V. Filina, “Computation of distributions of statistics by means of Markov chains”, Discrete Math. Appl., 32:4 (2022), 285–295

2020
12.	A. M. Zubkov, “Estimates for the variational distance between two sets of independent random variables”, Mat. Vopr. Kriptogr., 11:3 (2020), 21–29
13.	G. V. Balakin, S. M. Buravlev, S. P. Gorshkov, A. M. Zubkov, G. I. Ivchenko, A. V. Knyazev, A. P. Kovalenko, O. A. Kozlitin, V. A. Kopyttsev, A. V. Lapshin, D. V. Matyukhin, Yu. I. Medvedev, V. G. Mikhailov, A. V. Mikhalev, Yu. V. Nesterenko, A. B. Pichkur, B. A. Pogorelov, V. N. Sachkov, A. V. Tarasov, I. G. Shaposhnikov, V. A. Shishkin, A. M. Shoitov, “To the memory of Igor Aleksandrovich Kruglov”, Mat. Vopr. Kriptogr., 11:4 (2020), 5–6

2019
14.	A. M. Zubkov, O. P. Orlov, “Almost-Linear Segments of Graphs of Functions”, Math. Notes, 106:5 (2019), 720–726
15.	A. M. Zubkov, A. A. Serov, “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Matem. vopr. kriptogr., 10:2 (2019), 89–96	18 ^[x]
16.	Zubkov A. M., “Recent results on the total variation distance”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proceedings of the XII International Conference (Minsk, September 18-22, 2019), Publishing Center of BSU, Minsk, 2019, 128–131
17.	Serov A. A., Zubkov A. M., “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proceedings of the XII International Conference (Minsk, September 18-22, 2019), Publishing Center of BSU, Minsk, 2019, 291–294
18.	Zubkov A. M., “Predelnye teoremy, svyazannye s algoritmami vybora sluchainykh elementov grupp”, Veroyatnostnye metody v diskretnoi matematike, X Mezhdunarodnaya Petrozavodskaya konferentsiya (22-26 maya, 2019 g., Petrozavodsk, Rossiya), KarNTs RAN, Petrozavodsk, 2019, 76–78
19.	Zubkov A. M., Serov A. A., “Moschnost obraza podmnozhestva pri kompozitsii sluchainykh otobrazhenii konechnogo mnozhestva”, Veroyatnostnye metody v diskretnoi matematike, X Mezhdunarodnaya Petrozavodskaya konferentsiya (22-26 maya, 2019 g., Petrozavodsk, Rossiya), KarNTs RAN, Petrozavodsk, 2019, 79–81
20.	A. M. Zubkov, “A. D. Soloviev (1927–2001)”, Markov Processes and Related Fields, 25:4 (2019), 571–586
21.	A. M. Zubkov, “O primeneniyakh matematiki v kriptografii”, Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019, 36 https://book.etudes.ru/toc/cryptography/

2018
22.	A. M. Zubkov, A. A. Serov, “Estimates of the mean size of the subset image under composition of random mappings”, Discrete Math. Appl., 28:5 (2018), 331–338
23.	A. M. Zubkov, V. I. Kruglov, “On quantiles of minimal codeword weights of random linear codes over $\mathbf{F}_p$”, Matem. vopr. kriptogr., 9:2 (2018), 99–102	2 ^[x]
24.	A. M. Zubkov, “New estimates for the variational distance between two distributions of a sample”, Mat. Vopr. Kriptogr., 9:3 (2018), 45–60
25.	A. M. Zubkov, V. I. Kruglov, Review of Applied and Industrial Mathematics, 25:3 (2018), 249–251
26.	A. M. Zubkov, A. A. Serov, “Limit theorem for the size of an image of subset under compositions of random mappings”, Discrete Math. Appl., 28:2 (2018), 131–138
27.	A. M. Zubkov, O. P. Orlov, “Limit distributions of extremal distances to the nearest neighbor”, Discrete Math. Appl., 28:3 (2018), 189–199

2017
28.	Vasiliy Kruglov, Andrey Zubkov, “Number of Pairs of Template Matchings in $q$-ary Tree with Randomly Marked Vertices”, Analytical and Computational Methods in Probability Theory, Proceedings of the conference (Moscow, Russia, October 23–27, 2017), Lecture Notes in Computer Science (LNCS), Lecture Notes in Comput. Sci., 10684, ACMPT 2017, eds. V. V. Rykov, N. D. Singpurwalla, A. M. Zubkov, Springer, 2017, 336–346	3 ^[x]
29.	Marina Filina, Andrey Zubkov, “Algorithm of exact computation of decomposable statistics distributions and its applications”, Analytical and Computational Methods in Probability Theory, Proceedings of the conference (Moscow, Russia, October 23–27, 2017), Lecture Notes in Comput. Sci., 10684, eds. V. V. Rykov, N. D. Singpurwalla, A. M. Zubkov, Springer, 2017, 476–484	1 ^[x]
30.	A. M. Zubkov, V. O. Mironkin, “Distribution of the length of aperiodicity segment in the graph of $k$-fold iteration of uniform random mapping”, Mat. Vopr. Kriptogr., 8:4 (2017), 63–74

2018
31.	A. M. Zubkov, K. A. Kolesnikova, “Limit theorem for the additive replacement process”, Theory Probab. Appl., 62:2 (2018), 319–327

2017
32.	Analytical and Computational Methods in Probability Theory, First International Conference, ACMPT 2017 Moscow, Russia, October 23–27, 2017 Proceedings, Lecture Notes in Computer Science, 10684, eds. V. V. Rykov, N. D. Singpurwalla, A. M. Zubkov, Springer International Publishing AG, Cham, Switzerland, 2017 , 550 pp.	3 ^[x]
33.	D. B. Gnedenko, S. S. Demidov, A. M. Zubkov, V. A. Kashtanov, “A. D. Soloviev”, Analytical and Computational Methods in Probability Theory, First International Conference, ACMPT 2017, Moscow, Russia, October 23-27, 2017, Lecture Notes in Comput. Sci., 10684, Springer, 2017, 1–8
34.	A. M. Zubkov, M. P. Savelov, “Convergence of the sequence of the Pearson statistics values to the normalized square of the Bessel process”, Discrete Math. Appl., 27:6 (2017), 405–411

2016
35.	M. V. Filina, A. M. Zubkov, “Some remarks on the noncentral Pearson statistics distributions”, Computer Data Analysis and Modeling: Theoretical and Applied Stochastics, Proceedings of the XI International Conference (Minsk, September 6-10, 2016), eds. S. Aivazian, P. Filzmoser, Y. Kharin, Publishing center of BSU, Minsk, 2016, 155–158
36.	A. A. Serov, A. M. Zubkov, “Two-sided inequalities for the average number of elements in the union of images of finite set under iterations of random equiprobable mappings”, Computer Data Analysis and Modeling. Theoretical and Applied Stochastics, Proceedings of the XI International Conference (Minsk, September 6-10, 2016), Publishing Center of BSU, Minsk, 2016, 55–57
37.	A. M. Zubkov, V. I. Kruglov, “On coincidences of tuples in a binary tree with randomly labelled vertices”, Computer Data Analysis and Modeling. Theoretical and Applied Stochastics, Proceedings of the XI International Conference (Minsk, September 6-10, 2016), Publishing Center of BSU, Minsk, 2016, 189–192
38.	È. È. Gasanov, A. M. Zubkov, N. V. Klykova, “The algorithm for identical object searching with bounded worst-case complexity and linear memory”, Discrete Math. Appl., 26:5 (2016), 273–278
39.	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
40.	Andrey M. Zubkov, Kseniya A. Kolesnikova, “A Markov chain with number-theoretic limit distribution”, Discrete Math. Appl., 26:2 (2016), 125–130
41.	A. M. Zubkov, V. I. Kruglov, “On coincidences of tuples in a binary tree with random labels of vertices”, Discrete Math. Appl., 26:3 (2016), 145–153

2015
42.	A. M. Zubkov, A. A. Serov, “Dvustoronnie neravenstva dlya srednikh chisel elementov v ob'edineniyakh obrazov konechnogo mnozhestva pri iteratsiyakh sluchainykh ravnoveroyatnykh otobrazhenii”, XVI Vserossiiskii Simpozium po prikladnoi i promyshlennoi matematike (osennyaya otkrytaya sessiya) (Sochi–Dagomys, 27 sentyabrya – 4 oktyabrya 2015 g.), Obzor. prikl. i prom. matem., 22, no. 5, 2015

2016
43.	V. A. Vatutin, A. M. Zubkov, “In memoriam of Boris Aleksandrovich Sevastianov”, Theory Probab. Appl., 60:1 (2016), 162–171

2014
44.	A. M. Zubkov, V. I. Kruglov, “Statistical characteristics of weight spectra of random linear codes over $\mathrm{GF}(p)$”, Mat. Vopr. Kriptogr., 5:1 (2014), 27–38
45.	A. M. Zubkov, V. I. Kruglov, “Probabilistic characteristics of weight spectra of random linear subcodes over $\mathrm{GF}(p)$”, Prikl. Diskr. Mat. Suppl., 2014, no. 7, 118–121
46.	A. M. Zubkov, “Moments of weights of random nonuniform Boolean functions”, Mat. Vopr. Kriptogr., 5:3 (2014), 5–15

2015
47.	A. M. Zubkov, B. I. Selivanov, “On a statistic for testing the homogeneity of polynomial samples”, Discrete Math. Appl., 25:2 (2015), 109–120
48.	A. M. Zubkov, A. A. Serov, “Images of subset of finite set under iterations of random mappings”, Discrete Math. Appl., 25:3 (2015), 179–185

2014
49.	A. M. Zubkov, V. I. Kruglov, “On the vectors' weights in random linear spaces over $\mathrm{GF}(p)$”, Review of Applied and Industrial Mathematics, 21:4 (2014), 366–368

2013
50.	V. E. Tarakanov, A. M. Zubkov, “Cycle structure of power mappings in a residue classes ring”, Discrete Math. Appl., 23:3-4 (2013), 273–298
51.	A. M. Zubkov, T. A. Tatarenko, “The Equivalence between the Schur Order and the Stochastic Orders Generated by the Scheme of Allocation of Particles into Cells”, Math. Notes, 93:1 (2013), 69–74
52.	M. V. Filina, A. M. Zubkov, “Differences between the Pearson statistics distribution function and non-central chi-square distribution function”, Plenary lecture, Computer data analysis and modeling, Proceedings of the Tenth International conference (Minsk, September 10–14, 2013), v. 1, Publishing center of BSU, Minsk, 2013, 138–139
53.	A. M. Zubkov, V. I. Kruglov, “Weight spectra of random linear codes”, Computer data analysis and modeling, Proceedings of the Tenth International conference (Minsk, September 10–14, 2013), v. 2, Publishing center of BSU, Minsk, 2013, 20–22
54.	D. O. Menshenin, A. M. Zubkov, “Hypotheses testing for binary sequences obtained by the Neumann transform”, Computer data analysis and modeling, Proceedings of the Tenth International conference (Minsk, September 10–14, 2013), v. 2, Publishing center of BSU, Minsk, 2013, 23–25
55.	A. M. Zubkov, “New inequalities for the binomial law and for the total variation distance between iid samples”, Computer data analysis and modeling, Proceedings of the Tenth International conference (Minsk, September 10–14, 2013), v. 2, Publishing center of BSU, Minsk, 2013, 48–50
56.	A. M. Zubkov, N. P. Salikhov, “Inequalities of Probability Theory: A Collection. Chapter XI. Deviations of the distribution function of sums of independent variables from a specific distribution function”, Review of Applied and Industrial Mathematics, 20:4 (2013), 481–524
57.	A. M. Zubkov, N. P. Salikhov, “Inequalities of Probability Theory: A Collection. Chapter IX. Inequalities for distribution of maximum of sums of random variables”, Review of Applied and Industrial Mathematics, 20:2 (2013), 104–130

2012
58.	A. M. Zubkov, D. O. Men'shenin, “Properties of the Székely–Móri Symmetry Criterion Statistics in the Case of Binary Vectors”, Math. Notes, 91:4 (2012), 517–527
59.	A. M. Zubkov, M. V. Filina, “Exact computation of distributions by means of Markov chains”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 114–116
60.	A. M. Zubkov, A. A. Serov, “Estimates for the number of Boolean functions having affine or quadratic approximations with a given accuracy”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 11–13
61.	A. M. Zubkov, V. I. Kruglov, “On distributions of weight spectra for random linear binary codes”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 10–11
62.	A. M. Zubkov, A. A. Serov, “Nezamechennye nailuchshie neravenstva dlya binomialnogo zakona”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i eë prilozheniya», posvyaschënnaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya), Tezisy dokladov, LENAND, 2012, 35–36
63.	A. A. Serov, A. M. Zubkov, “Testing properties of Boolean mappings”, Workshop Current Trends in Cryptology (Nizhny Novgorod, 2 July), 2012, 32
64.	A. M. Zubkov, V. I. Kruglov, “Moments of codeword weights in random binary linear codes”, Mat. Vopr. Kriptogr., 3:4 (2012), 55–70
65.	A. Zubkov, V. Kruglov, “On the Distribution of Weight Spectra of Random Linear Binary Codes”, Proceedings of Workshop on Current Trends in Cryptology (Nizhny Novgorod), 2012, 29–31
66.	A. M. Zubkov, D. O. Menshenin, “Svoistva statistiki kriteriya simmetrichnosti Shekeli i Mori v sluchae dvoichnykh vektorov”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i eë prilozheniya», posvyaschënnaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya), Tezisy dokladov, LENAND, 2012, 35–34
67.	A. M. Zubkov, T. A. Tatarenko, “Ekvivalentnost ryada otnoshenii poryadka na mnozhestve diskretnykh raspredelenii”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i eë prilozheniya», posvyaschënnaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya), Tezisy dokladov, LENAND, 2012, 37–38
68.	A. M. Zubkov, M. V. Filina, “Svoistva raspredeleniya statistiki Pirsona dlya konechnykh vyborok”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i eë prilozheniya», posvyaschënnaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya), Tezisy dokladov, LENAND, 2012, 39–40

2013
69.	A. M. Zubkov, A. A. Serov, “A complete proof of universal inequalities for distribution function of binomial law”, Theory Probab. Appl., 57:3 (2013), 539–544

2012
70.	A. M. Zubkov, V. I. Kruglov, “On the distribution of weight spectra of random linear subspaces”, Review of Applied and Industrial Mathematics, 19:4 (2012), 564–566
71.	A. M. Zubkov, N. P. Salikhov, “Inequalities of Probability Theory: A Collection. Chapter V. Inequalities for joint distributions of two random variables”, Review of Applied and Industrial Mathematics, 19:4 (2012), 498–528
72.	A. M. Zubkov, N. P. Salikhov, “Inequalities of Probability Theory: A Collection. Chapter III. Inequalities for moments of functions in several variables”, Review of Applied and Industrial Mathematics, 19:2 (2012), 97–192

2011
73.	M. V. Filina, A. M. Zubkov, “Tail properties of Pearson statistics distributions”, Austrian J. Statistics, 40:1-2 (2011), 47–54

2012
74.	A. M. Zubkov, N. A. Kharitonova, E. V. Khil, “Gaps between local maxima in sequences of random variables”, Theory Probab. Appl., 56:4 (2012), 590–601

2011
75.	A. M. Zubkov, N. P. Salikhov, “Kollektsiya neravenstv teorii veroyatnostei. Glava I. Neravenstva dlya momentov funktsii ot sluchainoi velichiny”, Obozrenie prikl. i promyshl. matem., 18:6 (2011), 863–959
76.	S. M. Buravlev, M. M. Glukhov, A. M. Zubkov, A. P. Kovalenko, A. S. Kuzmin, V. N. Latyshev, A. I. Markov, V. N. Markov, Yu. I. Medvedev, V. G. Mikhailov, A. V. Mikhalev, A. A. Nechaev, B. A. Pogorelov, Yu. V. Prokhorov, V. N. Sachkov, “V. L. Kurakin (13.05.1966 – 14.08.2010)”, Mat. Vopr. Kriptogr., 2:3 (2011), 111–112

2010
77.	A. A. Serov, A. M. Zubkov, “On the number of Boolean functions in a given neighbourhood of the affine functions set”, Computer Data Analysis and Modeling: Complex Sthohastic Data and Systems, Proc. of the 9th Intern. Conf. (Minsk, 7–11 September 2010), v. 2, BSU, 2010, 67–70
78.	A. M. Zubkov, A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, Materialy Kh Mezhdunarodnogo seminara «Diskretnaya matematika i ee prilozheniya» (Moskva, 1–6 fevralya 2010 g.), Izd-vo mekhaniko-matematicheskogo fakulteta MGU, 2010, 230–232
79.	A. M. Zubkov, A. A. Serov, “Bounds for the number of Boolean functions admitting affine approximations of a given accuracy”, Discrete Math. Appl., 20:5-6 (2010), 467–486
80.	A. M. Zubkov, “Computation of distributions of the numbers of components and cyclic points for random mappings”, Mat. Vopr. Kriptogr., 1:2 (2010), 5–18
81.	N. A. Kharitonova, E. V. Khil, A. M. Zubkov, “Goodness-of-fit test based on local maxima”, Proc. CDAM'2010, v. 1, Minsk, 2010, 74–76
82.	A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 3-e izd., Lan, SPb, 2010 , 319 pp.
83.	V. B. Alekseev, M. M. Glukhov, A. A. Grusho, A. M. Zubkov, G. I. Ivchenko, O. M. Kasim-zade, A. V. Kolchin, V. F. Kolchin, V. B. Kudryavtsev, Yu. I. Medvedev, B. A. Pogorelov, È. A. Primenko, V. N. Sachkov, B. A. Sevast'yanov, L. Ja. Savel'ev, V. E. Tarakanov, V. N. Chubarikov, “Yurii Vasil'evich Prokhorov (on the occasion of his eightieth birthday)”, Diskr. Mat., 22:1 (2010), 3–4

2009
84.	A. M. Zubkov, A. A. Serov, “Srednee chislo podfunktsii sluchainoi bulevoi funktsii, blizkikh k mnozhestvu affinnykh funktsii”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya sessiya) (Sochi, 1–8 oktyabrya 2009 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 16, no. 4, TVP, 2009, 657–658
85.	A. M. Zubkov, A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Sankt-Peterburg, 19–24 maya 2009 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 16, no. 2, TVP, 2009, 337–339
86.	A. M. Zubkov, B. I. Selivanov, “Novaya statistika dlya proverki odnorodnosti polinomialnykh vyborok”, Obozrenie prikl. i promyshl. matem., 16:1 (2009)
87.	A. M. Zubkov, P. V. Khalipov, “Veroyatnost popadaniya neskolkikh tochek v odnu komponentu sluchainogo otobrazheniya”, Obozrenie prikl. i promyshl. matem., 16:3 (2009)
88.	A. M. Zubkov, N. A. Kharitonova, E. V. Khil, “Formuly dlya raspredelenii rasstoyanii mezhdu sosednimi lokalnymi maksimumami”, Obozrenie prikl. i promyshl. matem., 16:4 (2009)
89.	A. M. Zubkov, O. K. Shibanov, “Time Required to Unify All Particles in the Scheme of Equiprobable Allocation into a Sequence of Cell Layers”, Math. Notes, 85:3 (2009), 366–373
90.	A. M. Zubkov, “Euler and combinatorics”, Istor.-Mat. Issled. (2), 13(48), 2009, 38–48

2008
91.	A. M. Zubkov, D. V. Sokolov, “Algoritmy chastichnoi sortirovki mnozhestv summ”, Matematicheskie voprosy kibernetiki, 17, eds. N. A. Karpova, Fizmatlit, M., 2008, 225–234
92.	M. V. Filina, A. M. Zubkov, “Exact computation of Pearson statistics distribution and some experimental results”, Austrian J. Statistics, 37:1 (2008), 129–135	2 ^[x]
93.	A. M. Zubkov, D. O. Menshenin, “On the Szekely–Mori asymmetry criterion statistics for binary vectors with independent components”, Austrian J. Statistics, 37:1 (2008), 137–144

2011
94.	A. M. Zubkov, “Euler and combinatorial calculus”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 162–168

2008
95.	A. M. Zubkov, “Probabilistic representations of some measures connected with factorizations”, Tr. Diskr. Mat., 11, no. 2, Fizmatlit, Moscow, 2008, 43–50

2007
96.	R. R. Gil'manshin, A. M. Zubkov, N. A. Kolokol'nikova, “Bounds for extremal values of the mean number of cells containing a given number of particles”, Discrete Math. Appl., 17:1 (2007), 7–12
97.	S. M. Buravlev, M. M. Glukhov, V. S. Gorbachev, A. M. Zubkov, V. Ya. Kozlov, S. N. Kozlov, V. F. Kolchin, A. I. Markov, Yu. I. Medvedev, Yu. V. Prokhorov, V. N. Sachkov, B. A. Sevast'yanov, “N. N. Andreev, 31.01.1929–25.12.2006”, Diskr. Mat., 19:1 (2007), 3–5
98.	S. M. Buravlev, M. M. Glukhov, V. S. Gorbachev, A. M. Zubkov, S. N. Kozlov, V. F. Kolchin, A. I. Markov, Yu. I. Medvedev, Yu. V. Prokhorov, V. N. Sachkov, B. A. Sevast'yanov, “In memory of Nikolai Nikolaevich Andreev”, Tr. Diskr. Mat., 10, Fizmatlit, Moscow, 2007, 5–6

2006
99.	A. M. Zubkov, O. K. Shibanov, “A Poisson limit theorem for a two-stage equiprobable scheme of allocating particles into cells”, Discrete Math. Appl., 16:6 (2006), 541–546
100.	M. V. Butakova, A. M. Zubkov, “Realizatsiya algoritma tochnogo vychisleniya raspredeleniya statistiki Pirsona v ravnoveroyatnoi polinomialnoi skheme”, Obozrenie prikl. i promyshl. matem., 13:6 (2006), 1022–1023

2005
101.	A. M. Zubkov, D. V. Shuvaev, “Calculation of moments of combinatorial statistics of symmetrically dependent random variables”, Discrete Math. Appl., 15:2 (2005), 109–123
102.	A. M. Zubkov, “Notes on statistical tests for nonidentically distributed observations”, Austrian J. Statistics, 34:2 (2005), 225–232

2004
103.	N. N. Andreev, A. M. Zubkov, G. I. Ivchenko, V. F. Kolchin, Yu. I. Maksimov, Yu. I. Medvedev, B. A. Pogorelov, Yu. V. Prokhorov, V. N. Sachkov, B. A. Sevast'yanov, “Vladimir Yakovlevich Kozlov (on the occasion of his ninetieth birthday)”, Discrete Math. Appl., 14:2 (2004), 111–113

2005
104.	N. N. Andreev, A. M. Zubkov, G. I. Ivchenko, V. F. Kolchin, V. A. Kotel'nikov, Yu. I. Maksimov, Yu. I. Medvedev, B. A. Pogorelov, Yu. V. Prokhorov, V. N. Sachkov, B. A. Sevast'yanov, “To the 90th birthday of Kozlov V. Ya.”, Theory Probab. Appl., 49:3 (2005), 553–555

2003
105.	A. M. Zubkov, “Generators of pseudorandom numbers and their applications”, Moscow University and the development of cryptography in Russia, Inform. Bezop. Kriptografiya, MTsNMO, Moscow, 2003, 200–206

2004
106.	A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Holevo, D. M. Chibisov, A. N. Shiryaev, “On the 80th Birthday of B. A. Sevastyanov”, Theory Probab. Appl., 48:4 (2004), 697–702

2002
107.	A. M. Zubkov, “Computational algorithms for distributions of sums of random variables”, Tr. Diskr. Mat., 5, Fizmatlit, Moscow, 2002, 51–60

2001
108.	A. M. Zubkov, “Estimates for maximal sizes of zero submatrices of a random $(0,1)$-matrix”, Tr. Diskr. Mat., 4, Fizmatlit, Moscow, 2001, 51–56
109.	L. G. Afanassieva, Yu. K. Belyaev, V. A. Kashtanov, V. A. Malyshev, A. M. Zubkov, “Alexander Dmitrievich Soloviev (1927–2001)”, Markov Process. Related Fields, 7:4 (2001), 503–507
110.	A. M. Zubkov, “Book review: Kallenberg O. “Foundations of Modern Probability””, Theory Probab. Appl., 45:4 (2001), 725–730

2000
111.	A. M. Zubkov, “Isomorphisms between sets of probability distributions”, Theory Probab. Appl., 44:4 (2000), 794–797
112.	A. M. Zubkov, “Book review: Newman Charles M. “Topics in Disordered Systems””, Theory Probab. Appl., 44:4 (2000), 798–805
113.	A. M. Zubkov, “Book review: Goldreich Oded. “Modern Cryptography, Probabilistic Proofs and Pseudorandomness.””, Theory Probab. Appl., 44:3 (2000), 613–621

1998
114.	A. M. Zubkov, V. G. Mikhailov, “Estimation of the minimum number of outcomes with a given total probability”, Tr. Diskr. Mat., 2, TVP, Moscow, 1998, 101–111

1999
115.	A. M. Zubkov, “Two-sided inequalities for Laplace transforms”, Theory Probab. Appl., 43:4 (1999), 676–681

1997
116.	A. M. Zubkov, “Peculiarities of two-dimensional distributions of a sequence generated by a linear congruential generator”, Tr. Diskr. Mat., 1, TVP, Moscow, 1997, 113–120

1998
117.	A. M. Zubkov, “Book review: Vaart Aad W. van der, Wellner Jon A., “Weak Convergence and Empirical Processes, with Applications to Statistics””, Theory Probab. Appl., 42:4 (1998), 714–716

1997
118.	A. M. Zubkov, “Book review: Galambos J. Simonelli. “Bonferroni-type inequalities with applications””, Teor. Veroyatnost. i Primenen., 42:3 (1997), 645–649

1996
119.	A. M. Zubkov, “Neravenstva dlya momentov otnosheniya sluchainykh velichin”, Obozrenie prikl. i promyshl. matem., 3:4 (1996), 549–566
120.	A. M. Zubkov, “Rekurrentnye formuly dlya raspredelenii funktsionalov ot diskretnykh sluchainykh velichin”, Obozrenie prikl. i promyshl. matem., 3:4 (1996), 567–573

1994
121.	A. M. Zubkov, “Neravenstva dlya chisla odnovremenno proiskhodyaschikh sobytii”, Obozrenie prikl. i promyshl. matem., 1:4 (1994), 638–666
122.	A. M. Zubkov, “Book review: Barbour A. D., Hoist L., Janson S. “Poisson approximation””, Theory Probab. Appl., 39:4 (1994), 720–725

1993
123.	V. A. Vatutin, A. M. Zubkov, “Branching processes. II”, Probability theory and mathematical statistics, 1, J. Soviet Math., 67:6 (1993), 3407–3485	55 ^[x]

1989
124.	A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 2-e izd., ispr. i dop., Nauka, M., 1989 , 320 pp.

1988
125.	A. M. Zubkov, “Estimates for sums of finitely dependent indicators and for the instant of first occurrence of a rare event”, Proc. Steklov Inst. Math., 177 (1988), 33–48

1987
126.	A. M. Zubkov, “On compound probabilistic metrics with given minimal metric”, Theory Probab. Appl., 31:1 (1987), 135–137
127.	A. M. Zubkov, “Book review: Rao M. M. «Foundations of stochastic analysis»”, Theory Probab. Appl., 31:2 (1987), 368–371

1985
128.	A. M. Zubkov, “On compound probabilistic metrics with given minimal metrics”, Stability problems for stochastic models (Uzhgorod, 1984), Lecture Notes in Math., 1155, Springer, Berlin, 1985, 443–447

1987
129.	V. A. Vatutin, A. M. Zubkov, “Branching processes. I”, J. Soviet Math., 39:1 (1987), 2431–2475

1985
130.	B. A. Sevast'yanov, V. P. Chistyakov, A. M. Zubkov, Problems in the theory of probability, Mir, Moscow, 1985 , 236 pp.

1986
131.	A. M. Zubkov, “Book review: I. N. Kovalenko, N. Yu. Kuznecov, V. M. Šurenkov «Stochastic processes»”, Theory Probab. Appl., 30:2 (1986), 432–435

1983
132.	I. S. Badalbaev, A. M. Zubkov, “A limit theorem for a sequence of branching processes with nonhomogeneous immigration”, Dokl. Akad. Nauk UzSSR, 1983, no. 5, 3–4

1984
133.	I. S. Badalbaev, A. M. Zubkov, “Limit theorems for a sequence of branching processes with immigration”, Theory Probab. Appl., 28:2 (1984), 404–409

1982
134.	A. M. Zubkov, N. N. Popov, “Partial order relation generated by distributions of the number of occupied cells”, Math. Notes, 32:1 (1982), 528–531

1983
135.	A. M. Zubkov, “The limit behaviour of decomposable critical branching processes with two types of particles”, Theory Probab. Appl., 27:2 (1983), 235–237

1981
136.	A. M. Zubkov, “Examples of complex metrics for which minimal ones are zero ones”, Problems of stability of stochastic models (Panevezhis, 1980), Vsesoyuz. Nauch.-Issled. Inst. Sistem. Issled., Moscow, 1981, 39–41
137.	A. M. Zubkov, “Explicit estimates in the law of large numbers for sequences with mixing”, Sov. Math. Dokl., 24 (1981), 577–579
138.	A. M. Zubkov, Approksimatsii zavisimykh sluchainykh velichin nezavisimymi i ikh primeneniya, Diss. … dokt. fiz.-matem. nauk, MIAN, M., 1981
139.	A. M. Zubkov, “F. P. Kelly «Reversibility and stochastic networks» (book review)”, Theory Probab. Appl., 26:1 (1981), 212–215

1980
140.	A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, Nauka, M., 1980 , 224 pp.

1979
141.	A. M. Zubkov, “Probabilistic proof of a geometric theorem”, Math. Notes, 26:6 (1979), 982–983
142.	A. M. Zubkov, “Markov chains close to a sequence of independent trials”, Math. Notes, 25:3 (1979), 243–248

1980
143.	A. M. Zubkov, “Inequalities for transition probabilities with taboos and their applications”, Math. USSR-Sb., 37:4 (1980), 451–488

1979
144.	A. M. Zubkov, V. G. Mihaǐlov, “On the repetitions of $s$-tuples in a sequence of independent trials”, Theory Probab. Appl., 24:2 (1979), 269–282
145.	A. M. Zubkov, V. G. Mihaǐlov, “On the accuracy of Poisson approximation in an occupancy problem”, Theory Probab. Appl., 23:4 (1979), 789–794

1977
146.	A. M. Zubkov, “Inequalities for the distribution of a sum of functions of independent random variables”, Math. Notes, 22:5 (1977), 906–914

1976
147.	A. M. Zubkov, “Dostatochnye usloviya skhodimosti posledovatelnosti sluchainykh potokov k ordinarnomu puassonovskomu potoku”, Trudy III Vsesoyuznogo soveschaniya po teorii massovogo obsluzhivaniya, v. 2, Izd-vo MGU, M., 1976, 197–202

1975
148.	A. M. Zubkov, “On the rate of convergence of a renewal density”, Math. USSR-Sb., 27:1 (1975), 131–142

1976
149.	A. M. Zubkov, “Limit distributions of distance to the nearest mutual ancestor”, Theory Probab. Appl., 20:3 (1976), 602–612

1975
150.	A. M. Zubkov, “Analogues between Galton–Watson processes and $\varphi$-branching processes”, Theory Probab. Appl., 19:2 (1975), 309–331

1974
151.	B. A. Sevast'yanov, A. M. Zubkov, “Controlled branching processes”, Theory Probab. Appl., 19:1 (1974), 14–24
152.	A. M. Zubkov, V. G. Mikhailov, “Limit distributions of random variables connected with long duplications in a sequence of independent trials”, Theory Probab. Appl., 19:1 (1974), 172–179
153.	A. M. Zubkov, “Limit distributions of a statistical estimate for the entropy”, Theory Probab. Appl., 18:3 (1974), 611–618

1973
154.	A. M. Zubkov, B. A. Sevastyanov, “Reguliruemye vetvyaschiesya protsessy”, Mezhdunar. konf. po teorii veroyatnostei i matematicheskoi statistike (Vilnyus, 1973), Tezisy dokladov, v. 2, Vilnyus, 1973, 223–224
155.	A. M. Zubkov, “A condition of degeneracy of a bounded branching process with continuous time”, Theory Probab. Appl., 17:2 (1973), 284–297

1972
156.	A. M. Zubkov, “Life-Periods of a Branching Process with Immigration”, Theory Probab. Appl., 17:1 (1972), 174–183
157.	A. M. Zubkov, Usloviya vyrozhdeniya modifitsirovannykh vetvyaschikhsya protsessov, Diss. … kand. fiz.-matem. nauk, MIAN, M., 1972

1970
158.	A. M. Zubkov, “A condition for the extinction of a bounded branching process”, Math. Notes, 8:1 (1970), 472–477

Presentations in Math-Net.Ru

1.	Отдел дискретной математики A. M. Zubkov Conference MIAN-90, dedicated to the 90th anniversary of Steklov Mathematical Institute May 15, 2024 16:30
2.	Обзор работ Б.А.Севастьянова по дискретной математике A. M. Zubkov Branching processes and discrete mathematics, a conference dedicated to the 100th anniversary of Sevastyanov's birth October 3, 2023 17:20
3.	Branching processes on finite sets and iterations of random mappings A. Zubkov International Conference "Branching Processes, Random Walks and Probability on Discrete Structures" June 23, 2022 16:30
4.	Limit distributions of extreme distances to the nearest neighbor A. M. Zubkov, O. P. Orlov XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich May 29, 2018 16:00
5.	Замечания о некоторых вероятностных понятиях и задачах A. M. Zubkov Steklov Mathematical Institute Seminar February 16, 2017 16:00
6.	Cryptography as a source of mathematical problems A. M. Zubkov Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences May 14, 2015 16:00
7.	Non-standard results for standard problems A. M. Zubkov Steklov Mathematical Institute Seminar January 16, 2014 16:00
8.	To the memory of Boris Alexandrovich Sevastyanov V. A. Vatutin, A. M. Zubkov Principle Seminar of the Department of Probability Theory, Moscow State University December 25, 2013 16:45
9.	Простое доказательство универсальных неравенств для функции распределения биномиального закона A. M. Zubkov, A. A. Serov Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013 November 20, 2013 16:20
10.	Оценки числа булевых функций, аппроксимируемых афинными функциями с заданной точностью A. M. Zubkov, A. A. Serov Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS April 27, 2010 16:00
11.	Эйлер и комбинаторика A. M. Zubkov Scientific conference "Leonhard Euler and Contemporary Mathematics" May 17, 2007
12.	Л. Эйлер и комбинаторика A. M. Zubkov Annual scientific conference "Lomonosov Papers" in 2007 April 16, 2007
13.	Экстремальные задачи для схемы размещения частиц по ячейкам A. M. Zubkov Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS March 27, 2007 16:00
14.	Mathematics and cryptography A. M. Zubkov Steklov Mathematical Institute Seminar April 20, 2006 16:00

Organisations

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Registration to the website

Logotypes