Kruglov Igor Aleksandrovich

Publications in Math-Net.Ru

1. Ergodicity of the probabilistic converter, a serial connection of two automata
   
   Diskr. Mat., 32:3 (2020),  38–48
2. A method of construction of differentially $4$-uniform permutations over $V_{m}$ for even $m$
   
   Diskr. Mat., 31:2 (2019),  69–76
3. On the existence of non-negative bases in subgroups of free groups of Schreier varieties
   
   Mat. Vopr. Kriptogr., 10:4 (2019),  53–65
4. Variance of the additive weight deficit of equiprobable involution on the residue group
   
   Mat. Vopr. Kriptogr., 10:3 (2019),  101–116
5. 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
6. Rate of convergence to the uniform distribution for autoregression scheme on the finite Abelian group
   
   Mat. Vopr. Kriptogr., 9:1 (2018),  65–74
7. Convergence of transition matrices of some Markov chains on finite Abelian group to the uniform matrix
   
   Mat. Vopr. Kriptogr., 8:1 (2017),  31–50
8. Weight deficits of involutions and substitutions
   
   Mat. Vopr. Kriptogr., 7:4 (2016),  95–116
9. On the completely indecomposable nonnegative matrices and A. N. Kolmogorov's condition
   
   Fundam. Prikl. Mat., 20:1 (2015),  167–172
10. Local characteristics of smoothing properties of endomorphisms of finite Abelian groups
    
    Mat. Vopr. Kriptogr., 6:3 (2015),  33–45
11. 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
12. Autoregression on a finite Abelian group controlled by a Markov chain
    
    Mat. Vopr. Kriptogr., 2:4 (2011),  25–36
13. On the homomorphisms of strongly connected finite automata into substitution automata
    
    Mat. Vopr. Kriptogr., 2:3 (2011),  31–46
14. Conditions of limit uniformity of shift register state distribution
    
    Mat. Vopr. Kriptogr., 1:2 (2010),  19–29
15. On layers in the system of generators of the subdirect product of subgroups of a finite group
    
    Diskr. Mat., 21:1 (2009),  52–65
16. Letter to the editors
    
    Diskr. Mat., 20:4 (2008),  157
17. 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
18. 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
19. Shifted products of independent random variables with values in finite groups
    
    Diskr. Mat., 19:1 (2007),  40–49
20. 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
21. A connection between Markov chains on finite simple semigroups and fundamental groups
    
    Diskr. Mat., 18:2 (2006),  48–54
22. 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
23. 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
24. 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
25. Problems in the theory of distributions on finite groups
    
    Tr. Diskr. Mat., 1 (1997),  85–112


26. Fourier transform of distributions on finite groups and semigroups
    
    Math. Ed., 2021, no. 4(100)-1,  87–95