Steklov Mathematical Institute

Home page

Russian page

Dissertation Councils

Staff

Events

Charter

Address

8 Gubkina Str. Moscow,
119333, Russia
Tel.: +7(495) 984 81 41
Web site: www.mi-ras.ru
E-mail: steklov@mi-ras.ru

View Map

Directions

Kruglov Vasilii Igorevich
(recent publications)

by years

scientific publications

by types




2025
1.	V. I. Kruglov, “On the probability of incompleteness of the row rank of a random matrix consisting of independent rows with given numbers of nonzero elements”, Prikl. Diskr. Mat. Suppl., 2025, no. 18, 35–38
2.	Kruglov V.I., “Sufficient conditions for asymptotic normality of number of multiple repetitions of chains in marked complete trees and forests”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proceedings of the XIV International Conference (Minsk, September 24-27, 2025), Publishing Center of BSU, Minsk, 2025, 158–162
3.	A. M. Zubkov, V. I. Kruglov, “Repetitions of chains in urn schemes with and without replacement for urns with balls of several types”, Mat. Vopr. Kriptogr., 16:3 (2025), 9–26

2024
4.	V. I. Kruglov, “Exact formula for expectation of number of pairs of coinciding $s$-chains in a random binary sequence with fixed number of zeroes and ones”, Prikl. Diskr. Mat. Suppl., 2024, no. 17, 9–11
5.	V. I. Kruglov, “A comparison of expectations of numbers of $s$-chains with coinciding values in sequences of independent and dependent random variables”, Review of Applied and Industrial Mathematics, 31:1 (2024), 16–20

2023
6.	V. G. Mikhailov, V. I. Kruglov, “Conditions for asymptotic normality of the number of multiple repetitions of chains in marked complete trees and forests”, Mat. Vopr. Kriptogr., 14:1 (2023), 85–97
7.	V. I. Kruglov, “Two Lempel – Ziv goodness-of-fit tests for nonequiprobable random binary sequences”, Matem. vopr. kriptogr., 14:2 (2023), 97–110 ;
8.	V. I. Kruglov, “Otsenki dlya raspredelenii rangov sluchainykh dvoichnykh matrits, sostoyaschikh iz strok s zadannymi vesami”, Materialy II mezhdunarodnoi konferentsii “Teoreticheskaya i prikladnaya kriptografiya” (Minsk, 19–20 oktyabrya 2023g.), BGU, Minsk, 2023, 127–131

2022
9.	Kruglov V.I., “A goodness-of-fit Lempel–Ziv test for equiprobable binary sequences”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proceedings of the XIII International Conference (Minsk, September 6-10, 2022), Publishing Center of BSU, Minsk, 2022, 100–103
10.	V. G. Mikhailov, V. I. Kruglov, “Asymptotic normality of number of multiple coincidences of chains in complete $q$-ary trees and forests with randomly marked vertices”, Prikl. Diskr. Mat. Suppl., 2022, no. 15, 8–11
11.	V. G. Mikhailov, V. I. Kruglov, Mat. Vopr. Kriptogr., 13:3 (2022), 93–106
12.	V. I. Kruglov, “Limit theorems for number of block $C_N$-equivalent pairs of chains in random equiprobable sequence”, Review of Applied and Industrial Mathematics, 29:2 (2022), 61–64

2021
13.	V. G. Mikhailov, V. I. Kruglov, “On the asymptotic normality in the problem on the tuples repetitions in a marked complete tree”, Mat. Vopr. Kriptogr., 12:4 (2021), 59–64
14.	V. G. Mikhailov, V. I. Kruglov, “Asymptotical normality of number of pairs of identically labeled chains in q-ary tree with randomly labeled vertices”, Review of Applied and Industrial Mathematics, 28:2 (2021), 142–145

2020
15.	V. I. Kruglov, V. G. Mikhailov, “On the rank of random matrix over prime field consisting of independent rows with given numbers of nonzero elements”, Mat. Vopr. Kriptogr., 11:3 (2020), 41–52

2019
16.	Zubkov A. M., Kruglov V.I., “Number of pairs of identically marked templates in $q$-ary tree”, 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, 348–351
17.	Kruglov V. I., Mikhailov V. G., “Neravenstva dlya ranga sluchainoi dvoichnoi matritsy s nezavisimymi strokami zadannykh vesov”, Veroyatnostnye metody v diskretnoi matematike, X Mezhdunarodnaya Petrozavodskaya konferentsiya (22-26 maya, 2019 g., Petrozavodsk, Rossiya), KarNTs RAN, Petrozavodsk, 2019, 93–95
18.	V. I. Kruglov, V. G. Mikhailov, “On the rank of random binary matrix with fixed weights of independent rows”, Mat. Vopr. Kriptogr., 10:4 (2019), 67–76

2018
19.	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]
20.	V. I. Kruglov, “On coincidences of tuples in a $q$-ary tree with random labels of vertices”, Discrete Math. Appl., 28:5 (2018), 293–307
21.	A. M. Zubkov, V. I. Kruglov, “Unextendable to the root coincidences of tuples in a $q$-ary tree with randomly labelled vertices”, Review of Applied and Industrial Mathematics, 25:3 (2018), 249–251

2017
22.	A. M. Zubkov, V. I. Kruglov, “Chislo par odinakovo pomechennykh vkhozhdenii zadannogo poddereva v $q$-ichnoe derevo so sluchainymi metkami vershin”, Analiticheskie i vychislitelnye metody v teorii veroyatnostei i ee prilozheniyakh (Moskva, 23–27 oktyabrya 2017 g.), eds. A. V. Lebedev, RUDN, Moskva, 2017, 735–740
23.	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, Lecture Notes in Comput. Sci., 10684, Springer, 2017, 336–346	3 ^[x]

2016
24.	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
25.	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

2014
26.	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
27.	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
28.	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
29.	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

2012
30.	V. I. Kruglov, “Poisson approximation for the distribution of the number of “parallelograms” in a random sample from $\mathbb Z_N^q$”, Mat. Vopr. Kriptogr., 3:2 (2012), 63–78
31.	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
32.	V. I. Kruglov, “Poisson approximation for the distribution of the number of “parallelograms” in a random sample from $\mathbb Z_N^q$”, International conference “Probability Theory and its Applications”, in Commemoration of the Centennial of B. V. Gnedenko, Abstracts (Moscow), 2012, 49–50
33.	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
34.	A. M. Zubkov, V. I. Kruglov, “Moments of codeword weights in random binary linear codes”, Mat. Vopr. Kriptogr., 3:4 (2012), 55–70
35.	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

2010
36.	V. I. Kruglov, “A goodness-of-fit test for uniform distribution on a finite group”, Computer data analysis and modeling, Proceedings of the Ninth International Conference (Belarus, Minsk, 7–11 Sept 2010), v. 2, Publishing center of BSU, Minsk, 2010, 40–42

Full list of publications