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Kruglov, Igor Aleksandrovich
Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 25
Presentations: 2

Number of views:
This page:2733
Abstract pages:10190
Full texts:4852
References:1292
Associate professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person27779
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/697101

Publications in Math-Net.Ru Citations
2020
1. I. A. Kruglov, “Ergodicity of the probabilistic converter, a serial connection of two automata”, Diskr. Mat., 32:3 (2020),  38–48  mathnet  mathscinet  elib; Discrete Math. Appl., 31:6 (2021), 389–396  isi  scopus
2019
2. S. A. Davydov, I. A. Kruglov, “A method of construction of differentially $4$-uniform permutations over $V_{m}$ for even $m$”, Diskr. Mat., 31:2 (2019),  69–76  mathnet  elib; Discrete Math. Appl., 31:6 (2021), 383–388  isi 1
3. I. A. Kruglov, I. V. Cherednik, “On the existence of non-negative bases in subgroups of free groups of Schreier varieties”, Mat. Vopr. Kriptogr., 10:4 (2019),  53–65  mathnet
4. V. N. Sachkov, I. A. Kruglov, “Variance of the additive weight deficit of equiprobable involution on the residue group”, Mat. Vopr. Kriptogr., 10:3 (2019),  101–116  mathnet
2018
5. V. N. Sachkov, I. A. Kruglov, “Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements”, Mat. Vopr. Kriptogr., 9:4 (2018),  101–124  mathnet  elib 1
6. I. A. Kruglov, “Rate of convergence to the uniform distribution for autoregression scheme on the finite Abelian group”, Mat. Vopr. Kriptogr., 9:1 (2018),  65–74  mathnet  elib
2017
7. I. A. Kruglov, “Convergence of transition matrices of some Markov chains on finite Abelian group to the uniform matrix”, Mat. Vopr. Kriptogr., 8:1 (2017),  31–50  mathnet  mathscinet  elib 1
2016
8. V. N. Sachkov, I. A. Kruglov, “Weight deficits of involutions and substitutions”, Mat. Vopr. Kriptogr., 7:4 (2016),  95–116  mathnet  mathscinet  elib 3
2015
9. I. A. Kruglov, “On the completely indecomposable nonnegative matrices and A. N. Kolmogorov's condition”, Fundam. Prikl. Mat., 20:1 (2015),  167–172  mathnet  mathscinet  elib; J. Math. Sci., 223:5 (2017), 602–605
10. V. O. Drelikhov, I. A. Kruglov, “Local characteristics of smoothing properties of endomorphisms of finite Abelian groups”, Mat. Vopr. Kriptogr., 6:3 (2015),  33–45  mathnet  mathscinet  elib
2014
11. I. A. Kruglov, “The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain”, Mat. Vopr. Kriptogr., 5:1 (2014),  85–94  mathnet 1
2011
12. I. A. Kruglov, “Autoregression on a finite Abelian group controlled by a Markov chain”, Mat. Vopr. Kriptogr., 2:4 (2011),  25–36  mathnet
13. I. A. Kruglov, “On the homomorphisms of strongly connected finite automata into substitution automata”, Mat. Vopr. Kriptogr., 2:3 (2011),  31–46  mathnet
2010
14. I. A. Kruglov, “Conditions of limit uniformity of shift register state distribution”, Mat. Vopr. Kriptogr., 1:2 (2010),  19–29  mathnet 2
2009
15. I. A. Kruglov, “On layers in the system of generators of the subdirect product of subgroups of a finite group”, Diskr. Mat., 21:1 (2009),  52–65  mathnet  mathscinet  elib; Discrete Math. Appl., 19:1 (2009), 67–80  scopus 1
2008
16. I. A. Kruglov, “Letter to the editors”, Diskr. Mat., 20:4 (2008),  157  mathnet  mathscinet  elib
17. I. A. Kruglov, “The Kloss convergence principle for products of random variables with values in a compact group and distributions determined by a Markov chain”, Diskr. Mat., 20:1 (2008),  38–51  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 18:1 (2008), 41–55  scopus 5
18. I. A. Kruglov, “Asymptotic behavior of products of random variables with values in finite simple groups and distributions depending on a Markov chain”, Tr. Diskr. Mat., 11:2 (2008),  51–62  mathnet 1
2007
19. I. A. Kruglov, “Shifted products of independent random variables with values in finite groups”, Diskr. Mat., 19:1 (2007),  40–49  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 17:1 (2007), 37–46  scopus 1
2006
20. I. A. Kruglov, “Attainability at a finite step of limit distributions for products of random variables with values in a finite group”, Diskr. Mat., 18:3 (2006),  35–42  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 16:4 (2006), 351–358  scopus 1
21. I. A. Kruglov, “A connection between Markov chains on finite simple semigroups and fundamental groups”, Diskr. Mat., 18:2 (2006),  48–54  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 16:3 (2006), 221–227  scopus 2
2005
22. I. A. Kruglov, “On the property of decomposability of functions of $k$-valued logic related to summation of $n$-dependent random variables in a finite Abelian group”, Diskr. Mat., 17:4 (2005),  29–39  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 15:5 (2005), 463–473
23. I. A. Kruglov, “Conditions for the limit distribution equiprobability in a linear autoregression scheme with random control on a finite group”, Diskr. Mat., 17:3 (2005),  12–18  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 15:4 (2005), 387–393 2
24. I. A. Kruglov, “Random sequences of the form $X_{t+1}=a_t X_t+b_t$ modulo $n$ with dependent coefficients $a_t$, $b_t$”, Diskr. Mat., 17:2 (2005),  49–55  mathnet  mathscinet  zmath  elib; Discrete Math. Appl., 15:2 (2005), 145–151 3
1997
25. Yu. N. Gorchinskii, I. A. Kruglov, V. M. Kapitonov, “Problems in the theory of distributions on finite groups”, Tr. Diskr. Mat., 1 (1997),  85–112  mathnet  mathscinet  zmath 14
2021
26. I. A. Kruglov, “Fourier transform of distributions on finite groups and semigroups”, Math. Ed., 2021, no. 4(100)-1,  87–95  mathnet

Presentations in Math-Net.Ru
1. Сумма цепей Маркова на конечных группах
I. A. Kruglov
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
January 18, 2011 16:00
2. Произведения случайных величин, управляемых цепью Маркова и принимающих значения в конечной группе
I. A. Kruglov
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
March 14, 2006

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