Persons: Zubkov, Andrei Mikhailovich

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Zubkov, Andrei Mikhailovich
(1946–2025)

Statistics
in MathSciNet:	77 (67)
in zbMATH:	49 (46)
in Web of Science:	31 (29)
in Scopus:	38 (35)

Doctor of physico-mathematical sciences (1982)

Speciality:

01.01.05 (Probability theory and mathematical statistics)

Birth date:

30.12.1946

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)

1.	B. A. Sevast'yanov, A. M. Zubkov, “Controlled branching processes”, Theory Probab. Appl., 19:1 (1974), 14–24
2.	V. A. Vatutin, A. M. Zubkov, “Branching processes. II”, Probability theory and mathematical statistics, 1, J. Soviet Math., 67:6 (1993), 3407–3485	56 ^[x]
3.	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
4.	A. M. Zubkov, “Life-Periods of a Branching Process with Immigration”, Theory Probab. Appl., 17:1 (1972), 174–183
5.	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
6.	A. M. Zubkov, “Limit distributions of distance to the nearest mutual ancestor”, Theory Probab. Appl., 20:3 (1976), 602–612
7.	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
8.	V. A. Vatutin, A. M. Zubkov, “Branching processes. I”, J. Soviet Math., 39:1 (1987), 2431–2475
9.	A. M. Zubkov, “Analogues between Galton–Watson processes and $\varphi$-branching processes”, Theory Probab. Appl., 19:2 (1975), 309–331
10.	A. M. Zubkov, A. A. Serov, “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Matem. vopr. kriptogr., 10:2 (2019), 89–96	20 ^[x]
11.	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	16 ^[x]
12.	A. M. Zubkov, “Inequalities for transition probabilities with taboos and their applications”, Math. USSR-Sb., 37:4 (1980), 451–488
13.	A. M. Zubkov, “Limit distributions of a statistical estimate for the entropy”, Theory Probab. Appl., 18:3 (1974), 611–618
14.	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
15.	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
16.	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
17.	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
18.	A. M. Zubkov, “The limit behaviour of decomposable critical branching processes with two types of particles”, Theory Probab. Appl., 27:2 (1983), 235–237
19.	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
20.	I. S. Badalbaev, A. M. Zubkov, “Limit theorems for a sequence of branching processes with immigration”, Theory Probab. Appl., 28:2 (1984), 404–409
21.	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
22.	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
23.	A. M. Zubkov, “A condition for the extinction of a bounded branching process”, Math. Notes, 8:1 (1970), 472–477
24.	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	5 ^[x]
25.	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
26.	A. M. Zubkov, V. I. Kruglov, “Moments of codeword weights in random binary linear codes”, Mat. Vopr. Kriptogr., 3:4 (2012), 55–70
27.	A. M. Zubkov, V. G. Mihaǐlov, “On the accuracy of Poisson approximation in an occupancy problem”, Theory Probab. Appl., 23:4 (1979), 789–794
28.	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
29.	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
30.	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
31.	A. M. Zubkov, “Markov chains close to a sequence of independent trials”, Math. Notes, 25:3 (1979), 243–248
32.	A. M. Zubkov, “Inequalities for the distribution of a sum of functions of independent random variables”, Math. Notes, 22:5 (1977), 906–914
33.	A. M. Zubkov, “Entropy as the quality characteristic of random sequences”, Mat. Vopr. Kriptogr., 12:3 (2021), 31–48
34.	A. M. Zubkov, “New estimates for the variational distance between two distributions of a sample”, Mat. Vopr. Kriptogr., 9:3 (2018), 45–60
35.	A. M. Zubkov, O. P. Orlov, “Limit distributions of extremal distances to the nearest neighbor”, Discrete Math. Appl., 28:3 (2018), 189–199
36.	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 Comput. Sci., 10684, ACMPT 2017, eds. V. V. Rykov, N. D. Singpurwalla, A. M. Zubkov, Springer, 2017, 336–346	3 ^[x]
37.	M. V. Filina, A. M. Zubkov, “Exact computation of Pearson statistics distribution and some experimental results”, Austrian J. Statistics, 37:1 (2008), 129–135	3 ^[x]
38.	A. M. Zubkov, “Two-sided inequalities for Laplace transforms”, Theory Probab. Appl., 43:4 (1999), 676–681
39.	A. M. Zubkov, “On the rate of convergence of a renewal density”, Math. USSR-Sb., 27:1 (1975), 131–142
40.	A. M. Zubkov, “A condition of degeneracy of a bounded branching process with continuous time”, Theory Probab. Appl., 17:2 (1973), 284–297
41.	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
42.	A. M. Zubkov, M. V. Filina, “Computation of distributions of statistics by means of Markov chains”, Discrete Math. Appl., 32:4 (2022), 285–295
43.	A. M. Zubkov, “Estimates for the variational distance between two sets of independent random variables”, Mat. Vopr. Kriptogr., 11:3 (2020), 21–29
44.	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]
45.	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
46.	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
47.	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
48.	A. M. Zubkov, “Computational algorithms for distributions of sums of random variables”, Tr. Diskr. Mat., 5, Fizmatlit, Moscow, 2002, 51–60
49.	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
50.	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
51.	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]
52.	Andrey M. Zubkov, Kseniya A. Kolesnikova, “A Markov chain with number-theoretic limit distribution”, Discrete Math. Appl., 26:2 (2016), 125–130
53.	A. M. Zubkov, B. I. Selivanov, “On a statistic for testing the homogeneity of polynomial samples”, Discrete Math. Appl., 25:2 (2015), 109–120
54.	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
55.	A. M. Zubkov, “Euler and combinatorial calculus”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 162–168
56.	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
57.	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
58.	A. M. Zubkov, “Explicit estimates in the law of large numbers for sequences with mixing”, Sov. Math. Dokl., 24 (1981), 577–579
59.	A. M. Zubkov, “Probabilistic proof of a geometric theorem”, Math. Notes, 26:6 (1979), 982–983
60.	A. M. Zubkov, A. V. Prokhorov, “Chair of Mathematical Statistics and Random Processes”, Moscow Univ. Math. Bull., 80:1 (2025), 34–41
61.	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
62.	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
63.	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
64.	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
65.	A. M. Zubkov, O. P. Orlov, “Almost-Linear Segments of Graphs of Functions”, Math. Notes, 106:5 (2019), 720–726
66.	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
67.	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
68.	A. M. Zubkov, “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
69.	A. M. Zubkov, A. A. Serov, “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
70.	A. M. Zubkov, V. I. Kruglov, Review of Applied and Industrial Mathematics, 25:3 (2018), 249–251
71.	A. M. Zubkov, K. A. Kolesnikova, “Limit theorem for the additive replacement process”, Theory Probab. Appl., 62:2 (2018), 319–327
72.	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
73.	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
74.	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
75.	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
76.	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
77.	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
78.	A. M. Zubkov, “Moments of weights of random nonuniform Boolean functions”, Mat. Vopr. Kriptogr., 5:3 (2014), 5–15
79.	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
80.	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
81.	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
82.	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
83.	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
84.	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
85.	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
86.	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
87.	A. M. Zubkov, M. V. Filina, “Exact computation of distributions by means of Markov chains”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 114–116
88.	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
89.	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
90.	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
91.	A. A. Serov, A. M. Zubkov, “Testing properties of Boolean mappings”, Workshop Current Trends in Cryptology (Nizhny Novgorod, 2 July), 2012, 32
92.	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
93.	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
94.	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
95.	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
96.	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
97.	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
98.	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
99.	M. V. Filina, A. M. Zubkov, “Tail properties of Pearson statistics distributions”, Austrian J. Statistics, 40:1-2 (2011), 47–54
100.	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
101.	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
102.	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
103.	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
104.	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 prikl. i promyshl. matem., 16, no. 4, TVP, 2009, 657–658
105.	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 prikl. i promyshl. matem., 16, no. 2, TVP, 2009, 337–339
106.	A. M. Zubkov, B. I. Selivanov, “Novaya statistika dlya proverki odnorodnosti polinomialnykh vyborok”, Obozrenie prikl. i promyshl. matem., 16:1 (2009)
107.	A. M. Zubkov, P. V. Khalipov, “Veroyatnost popadaniya neskolkikh tochek v odnu komponentu sluchainogo otobrazheniya”, Obozrenie prikl. i promyshl. matem., 16:2 (2009)
108.	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)
109.	A. M. Zubkov, D. V. Sokolov, “Algoritmy chastichnoi sortirovki mnozhestv summ”, Matematicheskie voprosy kibernetiki, 17, eds. N. A. Karpova, Fizmatlit, M., 2008, 225–234
110.	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
111.	A. M. Zubkov, “Probabilistic representations of some measures connected with factorizations”, Tr. Diskr. Mat., 11, no. 2, Fizmatlit, Moscow, 2008, 43–50
112.	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
113.	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
114.	A. M. Zubkov, “Notes on statistical tests for nonidentically distributed observations”, Austrian J. Statistics, 34:2 (2005), 225–232
115.	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
116.	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
117.	A. M. Zubkov, “Isomorphisms between sets of probability distributions”, Theory Probab. Appl., 44:4 (2000), 794–797
118.	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
119.	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
120.	A. M. Zubkov, “Neravenstva dlya momentov otnosheniya sluchainykh velichin”, Obozrenie prikl. i promyshl. matem., 3:4 (1996), 549–566
121.	A. M. Zubkov, “Rekurrentnye formuly dlya raspredelenii funktsionalov ot diskretnykh sluchainykh velichin”, Obozrenie prikl. i promyshl. matem., 3:4 (1996), 567–573
122.	A. M. Zubkov, “Neravenstva dlya chisla odnovremenno proiskhodyaschikh sobytii”, Obozrenie prikl. i promyshl. matem., 1:4 (1994), 638–666
123.	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.
124.	A. M. Zubkov, “On compound probabilistic metrics with given minimal metric”, Theory Probab. Appl., 31:1 (1987), 135–137
125.	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
126.	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
127.	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
128.	A. M. Zubkov, Approksimatsii zavisimykh sluchainykh velichin nezavisimymi i ikh primeneniya, Diss. … dokt. fiz.-matem. nauk, MIAN, M., 1981
129.	A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, Nauka, M., 1980 , 224 pp.
130.	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
131.	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
132.	A. M. Zubkov, Usloviya vyrozhdeniya modifitsirovannykh vetvyaschikhsya protsessov, Diss. … kand. fiz.-matem. nauk, MIAN, M., 1972
133.	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]
134.	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
135.	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
136.	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
137.	A. M. Zubkov, “A. D. Soloviev (1927–2001)”, Markov Processes and Related Fields, 25:4 (2019), 571–586
138.	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/
139.	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
140.	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
141.	V. A. Vatutin, A. M. Zubkov, “In memoriam of Boris Aleksandrovich Sevastianov”, Theory Probab. Appl., 60:1 (2016), 162–171
142.	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
143.	A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 3-e izd., Lan, SPb, 2010 , 319 pp.
144.	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
145.	A. M. Zubkov, “Euler and combinatorics”, Istor.-Mat. Issled. (2), 13(48), 2009, 38–48
146.	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
147.	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
148.	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
149.	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
150.	A. M. Zubkov, “Book review: Kallenberg O. “Foundations of Modern Probability””, Theory Probab. Appl., 45:4 (2001), 725–730
151.	A. M. Zubkov, “Book review: Newman Charles M. “Topics in Disordered Systems””, Theory Probab. Appl., 44:4 (2000), 798–805
152.	A. M. Zubkov, “Book review: Goldreich Oded. “Modern Cryptography, Probabilistic Proofs and Pseudorandomness.””, Theory Probab. Appl., 44:3 (2000), 613–621
153.	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
154.	A. M. Zubkov, “Book review: Galambos J. Simonelli. “Bonferroni-type inequalities with applications””, Teor. Veroyatnost. i Primenen., 42:3 (1997), 645–649
155.	A. M. Zubkov, “Book review: Barbour A. D., Hoist L., Janson S. “Poisson approximation””, Theory Probab. Appl., 39:4 (1994), 720–725
156.	A. M. Zubkov, “Book review: Rao M. M. «Foundations of stochastic analysis»”, Theory Probab. Appl., 31:2 (1987), 368–371
157.	B. A. Sevast'yanov, V. P. Chistyakov, A. M. Zubkov, Problems in the theory of probability, Mir, Moscow, 1985 , 236 pp.
158.	A. M. Zubkov, “Book review: I. N. Kovalenko, N. Yu. Kuznecov, V. M. Šurenkov «Stochastic processes»”, Theory Probab. Appl., 30:2 (1986), 432–435
159.	A. M. Zubkov, “F. P. Kelly «Reversibility and stochastic networks» (book review)”, Theory Probab. Appl., 26:1 (1981), 212–215

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