Edit Profile (opens in new tab) Kruglov, Igor’ Aleksandrovich (b. 1961 d. 2020) Co-Author Distance Author ID: kruglov.igor-aleksandrovich Published as: Kruglov, I. A.; Kruglov, Igor A. External Links: Math-Net.Ru Documents Indexed: 25 Publications since 1997, including 1 Book Biographic References: 1 Publication Co-Authors: 9 Co-Authors with 8 Joint Publications 76 Co-Co-Authors all top 5 Co-Authors 17 single-authored 3 Sachkov, Vladimir Nikolaevich 1 Cherednik, Ivan V. 1 Cheremushkin, Aleksandr V. 1 Davydov, Stepan A. 1 Drelikhov, V. O. 1 Glukhov, Mikhail Mikhaĭlovich 1 Gorchinskiĭ, Yu. N. 1 Kapitonov, V. M. 1 Pichkur, A. V. Serials 11 Matematicheskie Voprosy Kriptografii 10 Discrete Mathematics and Applications 1 Journal of Mathematical Sciences (New York) 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki all top 5 Fields 18 Probability theory and stochastic processes (60-XX) 5 Combinatorics (05-XX) 5 Information and communication theory, circuits (94-XX) 3 Group theory and generalizations (20-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 33 times in 21 Documents Cited by ▼ Year ▼ Introduction to theoretical and numerical methods in cryptography. (Введение в теоретико-числовые методы криптографии.) Zbl 1347.94035 Glukhov, M. M.; Kruglov, I. A.; Pichkur, A. V.; Cheremushkin, A. V. 7 2011 Questions of the theory of distributions on finite groups. Zbl 0921.60008 Gorchinskiĭ, Yu. N.; Kruglov, I. A.; Kapitonov, V. M. 5 1997 The Kloss convergence principle for products of random variables with values in a compact group and distributions determined by a Markov chain. Zbl 1191.60010 Kruglov, I. A. 4 2008 Weight deficits of involutions and substitutions. Zbl 1475.94161 Sachkov, V. N.; Kruglov, I. A. 3 2016 Random sequences of the form \(X_{t+1}=a_1X_t+b_t\) modulo \(n\) with dependent coefficients \(a_t, b_t\). Zbl 1106.60059 Kruglov, I. A. 3 2005 Conditions for asymptotic equiprobability of distributions in stochastically controlled linear autoregressions over a finite group. Zbl 1081.60004 Kruglov, I. A. 2 2005 Connection between Markov chains on finite simple groups and fundamental groups. Zbl 1126.60056 Kruglov, I. A. 2 2006 Conditions of limit uniformity of shift register state distribution. Zbl 1469.94081 Kruglov, I. A. 2 2010 Shifted products of independent random variables with values in finite groups. Zbl 1256.60007 Kruglov, I. A. 1 2007 The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain. Zbl 1475.60009 Kruglov, I. A. 1 2014 Convergence of transition matrices of some Markov chains on finite abelian group to the uniform matrix. Zbl 1475.60010 Kruglov, I. A. 1 2017 Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements. Zbl 1475.05010 Sachkov, V. N.; Kruglov, I. A. 1 2018 On layers in the system of generators of the subdirect product of subgroups of a finite group. Zbl 1238.20035 Kruglov, I. A. 1 2009 Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements. Zbl 1475.05010 Sachkov, V. N.; Kruglov, I. A. 1 2018 Convergence of transition matrices of some Markov chains on finite abelian group to the uniform matrix. Zbl 1475.60010 Kruglov, I. A. 1 2017 Weight deficits of involutions and substitutions. Zbl 1475.94161 Sachkov, V. N.; Kruglov, I. A. 3 2016 The estimate of the convergence rate to the uniform distribution for products of elements of finite group controlled by a Markov chain. Zbl 1475.60009 Kruglov, I. A. 1 2014 Introduction to theoretical and numerical methods in cryptography. (Введение в теоретико-числовые методы криптографии.) Zbl 1347.94035 Glukhov, M. M.; Kruglov, I. A.; Pichkur, A. V.; Cheremushkin, A. V. 7 2011 Conditions of limit uniformity of shift register state distribution. Zbl 1469.94081 Kruglov, I. A. 2 2010 On layers in the system of generators of the subdirect product of subgroups of a finite group. Zbl 1238.20035 Kruglov, I. A. 1 2009 The Kloss convergence principle for products of random variables with values in a compact group and distributions determined by a Markov chain. Zbl 1191.60010 Kruglov, I. A. 4 2008 Shifted products of independent random variables with values in finite groups. Zbl 1256.60007 Kruglov, I. A. 1 2007 Connection between Markov chains on finite simple groups and fundamental groups. Zbl 1126.60056 Kruglov, I. A. 2 2006 Random sequences of the form \(X_{t+1}=a_1X_t+b_t\) modulo \(n\) with dependent coefficients \(a_t, b_t\). Zbl 1106.60059 Kruglov, I. A. 3 2005 Conditions for asymptotic equiprobability of distributions in stochastically controlled linear autoregressions over a finite group. Zbl 1081.60004 Kruglov, I. A. 2 2005 Questions of the theory of distributions on finite groups. Zbl 0921.60008 Gorchinskiĭ, Yu. N.; Kruglov, I. A.; Kapitonov, V. M. 5 1997 all cited Publications top 5 cited Publications all top 5 Cited by 14 Authors 11 Kruglov, Igor’ Aleksandrovich 3 Pogorelov, Boris Aleksandrovich 3 Pudovkina, Marina Aleksandrovna 3 Sachkov, Vladimir Nikolaevich 1 Denisov, O. V. 1 Frolov, A. B. 1 Gashkov, Igor B. 1 Gashkov, Sergey B. 1 Kondratyonok, Nikita 1 Kozlitin, Oleg A. 1 Prochorov, Nikolai 1 Roman’kov, Vitaliĭ Anatol’evich 1 Shkredov, Il’ya Dmitrievich 1 Vaskouski, Maksim all top 5 Cited in 8 Serials 11 Matematicheskie Voprosy Kriptografii 4 Discrete Mathematics and Applications 1 Moscow University Mathematics Bulletin 1 Algebra and Logic 1 Journal of Number Theory 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 7 Fields 11 Probability theory and stochastic processes (60-XX) 8 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 2 Commutative algebra (13-XX) 2 Computer science (68-XX) Citations by Year