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Mikhailov Vladimir Gavrilovich

Publications


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   2023
1. 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  mathnet  crossref  mathscinet

   2022
2. V. G. Mikhailov, A. M. Shoitov, A. V. Volgin, “On Series of $H$-Equivalent Tuples in Markov Chains”, Proc. Steklov Inst. Math., 316 (2022), 254–267  mathnet  crossref  crossref  scopus
3. Vetvyaschiesya protsessy i smezhnye voprosy, Sbornik statei. K 75-letiyu so dnya rozhdeniya Andreya Mikhailovicha Zubkova i 70-letiyu so dnya rozhdeniya Vladimira Alekseevicha Vatutina, Trudy MIAN, 316, ed. V. I. Afanasev, V. G. Mikhailov, E. E. Dyakonova, MIAN, M., 2022 , 390 pp.  mathnet
4. V. A. Kopyttsev, V. G. Mikhailov, “Method of Moments and Sums of Random Indicators”, Proc. Steklov Inst. Math., 316 (2022), 220–232  mathnet  crossref  crossref  mathscinet  scopus
5. V. I. Afanasyev, V. G. Mikhailov, E. E. Dyakonova, “Andrei Mikhailovich Zubkov: On the occasion of his 75th birthday”, Proc. Steklov Inst. Math., 316 (2022), 1–2  mathnet  crossref  crossref  scopus
6. V. I. Afanasyev, V. G. Mikhailov, E. E. Dyakonova, “Vladimir Alekseevich Vatutin: On the occasion of his 70th birthday”, Proc. Steklov Inst. Math., 316 (2022), 3–4  mathnet  crossref  crossref  scopus
7. V. G. Mikhailov, N. M. Mezhennaya, “The rate of normal approximation for the distribution of the number of multiple repetitions of characters in a stationary random sequence”, Prikl. Diskr. Mat. Suppl., 2022, no. 15, 11–13  mathnet  crossref
8. 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  mathnet  crossref
9. V. G. Mikhailov, V. I. Kruglov, Mat. Vopr. Kriptogr., 13:3 (2022), 93–106  mathnet  crossref  mathscinet
10. V. G. Mikhailov, N. M. Mezhennaya, “About the rate of normal approximation for the distribution of the number of repetitions in a stationary discrete random sequence”, Prikl. Diskr. Mat., 2022, no. 58, 15–21  mathnet  crossref  mathscinet
11. V. G. Mikhailov, N. M. Mezhennaya, A. V. Volgin, “On the asymptotic normality conditions for the number of repetitions in a stationary random sequence”, Discrete Math. Appl., 32:6 (2022), 391–401  mathnet  crossref  crossref  mathscinet

   2021
12. N. M. Mezhennaya, V. G. Mikhailov, “Central limit theorem for $U$-statistics of tuples of vertex labels on a complete graph”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 30–32  mathnet  crossref
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  mathnet  crossref  mathscinet
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  mathnet  mathscinet

   2020
15. N. M. Mezhennaya, V. G. Mikhailov, “On the asymptotic normality of the frequencies of letters in a multicyclic sequence”, Prikl. Diskr. Mat., 2020, no. 48, 5–15  mathnet  crossref  mathscinet  isi  scopus
16. V. G. Mikhailov, N. M. Mezhennaya, “Normal aproximation for U- and V -statistics of a stationary absolutely regular sequence”, Siberian Electronic Mathematical Reports, 17 (2020), 672–682  mathnet  crossref  isi  scopus
17. 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 (to appear)  mathnet  crossref  mathscinet
18. 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  mathnet  crossref  mathscinet
19. N. M. Mezhennaya, V. G. Mikhailov, “On the number of ones in outcome sequence of extended Pohl generator”, Discrete Math. Appl., 30:5 (2020), 327–337  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2019
20. N. M. Mezhennaya, V. G. Mikhailov, “O chisle edinits v tsikle multitsiklicheskoi posledovatelnosti, opredelyaemoi bulevoi funktsiei”, Sib. elektron. matem. izv., 16 (2019), 229–235  mathnet  crossref  mathscinet  zmath  isi  scopus
21. 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
22. Vladimir G. Mikhailov, Natalia M. Mezhennaya, Normal Approximation for U- and V -statistics of a Stationary Absolutely Regular Sequence, 2019 , arXiv: 1904.06691v3
23. N. M. Mezhennaya, V. G. Mikhailov, “On the number of ones in the multicyclic sequence”, IX international conference «Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis IX» (Rostov-on-Don: Rostov branch of the Russian engineering academy), eds. A.V. Gil, 2019, 110–111
24. V. G. Mikhailov, N. M. Mezhennaya, “Sufficient conditions for asymptotic normality of U-statistic of stationary sequence in series”, Review of Applied and Industrial Mathematics, 26:1 (2019), 63–64  mathnet  elib
25. 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  mathnet  crossref
26. Natalia M. Mezhennaya, Vladimir G. Mikhailov, “On the number of 1s per cycle of a binary random multicyclic sequence”, Int. J. Appl. Math., 32:5 (2019), 835–845  mathnet  crossref  mathscinet  scopus;

   2018
27. V. G. Mikhailov, “On the reduction property of the number of $H$-equivalent tuples of states in a discrete Markov chain”, Discrete Math. Appl., 28:2 (2018), 75–82  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2019
28. V. G. Mikhailov, “Formulas for a characteristic of spheres and balls in binary high-dimensional spaces”, Discrete Math. Appl., 29:5 (2019), 311–319  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus

   2018
29. V. G. Mikhailov, “Controlled multinomial allocation scheme”, Mat. Vopr. Kriptogr., 9:1 (2018), 75–88  mathnet  crossref  mathscinet  mathscinet  elib
30. V. O. Mironkin, V. G. Mikhailov, “O mnozhestve obrazov $k$-kratnoi iteratsii ravnoveroyatnogo sluchainogo otobrazheniya”, Matem. vopr. kriptogr., 9:3 (2018), 99–108  mathnet  crossref  mathscinet  elib
31. N. M. Mezhennaya, V. G. Mikhailov, “Tsentralnaya predelnaya teorema dlya chisla edinits v neravnoveroyatnoi multitsiklicheskoi posledovatelnosti”, Obozrenie prikl. i promyshl. matem., 25:3 (2018), 259–260
32. N. M. Mezhennaya, V. G. Mikhailov, Review of Applied and Industrial Mathematics, 25:3 (2018), 259–260  mathnet

   2017
33. V. G. Mikhailov, “The number of decomposition of random permutation into the product of two involutions with given cycle in one of multipliers”, Mat. Vopr. Kriptogr., 8:1 (2017), 80–94  mathnet  crossref  mathscinet  elib

   2019
34. N. M. Mezhennaya, V. G. Mikhailov, “On properties of output sequence of multi-cyclic generator over direct sum of residue groups modulo 2”, Discrete Math. Appl., 29:1 (2019), 15–21  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
35. N. M. Mezhennaya, V. G. Mikhailov, Review of Applied and Industrial Mathematics, 24:3 (2017), 350–351  mathnet  mathscinet
36. V. G. Mikhailov, “On the probability of existence of substrings with the same structure in a random sequence”, Discrete Math. Appl., 27:6 (2017), 377–386  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2016
37. V. G. Mikhailov, A. V. Volgin, “The stability of sets of solutions for systems of equations with random distortions”, Matem. vopr. kriptogr., 7:3 (2016), 61–72  mathnet  crossref  mathscinet  elib
38. 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  mathnet  crossref  mathscinet  elib
39. N. M. Mezhennaya, V. G. Mikhailov, “On the asymptotic normality of frequencies of values in the non-equiprobable multi-cyclic random sequence modulo 4”, Mat. Vopr. Kriptogr., 7:4 (2016), 81–94  mathnet  crossref  mathscinet  elib

   2015
40. V. A. Kopytcev, V. G. Mikhailov, “Explicit accuracy estimates for the Poisson approximation to the distribution of the number of solutions of random inclusions”, Mat. Vopr. Kriptogr., 6:1 (2015), 57–79  mathnet  crossref  mathscinet  elib

   2016
41. V. A. Kopyttsev, V. G. Mikhailov, “Estimates for distribution of the minimal distance of a random linear code”, Discrete Math. Appl., 26:4 (2016), 203–211  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
42. Vladimir G. Mikhaylov, “Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain”, Discrete Math. Appl., 26:2 (2016), 105–113  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
43. V. G. Mikhailov, A. M. Shoitov, “On multiple repetitions of long tuples in a Markov chain”, Mat. Vopr. Kriptogr., 6:3 (2015), 117–133  mathnet  crossref  mathscinet  elib
44. V. A. Kopyttsev, V. G. Mikhailov, “An estimate of the approximation accuracy in B. A. Sevastyanov's limit theorem and its application in the problem of random inclusions”, Discrete Math. Appl., 25:3 (2015), 149–156  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2014
45. V. A. Kopytcev, V. G. Mikhailov, “On an asymptotical property of spheres in the discrete spaces of large dimension”, Mat. Vopr. Kriptogr., 5:1 (2014), 73–83  mathnet  crossref  elib

   2015
46. V. G. Mikhailov, A. M. Shoitov, “On repetitions of long tuples in a Markov chain”, Discrete Math. Appl., 25:5 (2015), 295–303  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2014
47. V. G. Mikhailov, “Poisson approximation for the distribution of the frequency of a given pattern in the outcome sequence of the MCV-generator”, Mat. Vopr. Kriptogr., 5:4 (2014), 63–71  mathnet  crossref  elib

   2015
48. N. M. Mezhennaya, V. G. Mikhailov, “On frequencies of elements in multicyclic random sequence modulo 4”, Discrete Math. Appl., 25:6 (2015), 359–365  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2013
49. V. G. Mihailov, A. M. Shoitov, “On the numbers of equivalent tuples sets in a sequence of independent random variables”, Mat. Vopr. Kriptogr., 4:1 (2013), 77–86  mathnet  crossref  elib
50. V. G. Mikhailov, “Estimate for the Accuracy of the Poisson Approximation for the Number of Empty Cells in an Equiprobable Scheme for Group Allocation of Particles, and Applications”, Proc. Steklov Inst. Math., 282 (2013), 157–171  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
51. N. M. Mezhennaya, V. G. Mikhailov, “On the distribution of the number of ones in the output sequence of the MCV-generator over $GF(2)$”, Mat. Vopr. Kriptogr., 4:4 (2013), 95–107  mathnet  crossref  elib

   2012
52. V. A. Kopyttsev, V. G. Mikhailov, “Poisson-type limit theorems for the generalised linear inclusion”, Discrete Math. Appl., 22:4 (2012), 477–491  mathnet  crossref  crossref  mathscinet  zmath  elib  elib  scopus
53. V. A. Kopytcev, V. G. Mikhailov, “Conditions of convergence to the Poisson distribution for the number of solutions of random inclusions”, Mat. Vopr. Kriptogr., 3:3 (2012), 35–55  mathnet  crossref  elib
54. N. M. Mezhennaya, V. G. Mikhailov, “Lower bounds for probabilities of embedding with arbitrary margin”, Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2012, no. 2, 3–11  mathnet  elib

   2011
55. V. A. Kopytcev, V. G. Mikhailov, “On the distribution of the numbers of solutions of random inclusions”, Mat. Vopr. Kriptogr., 2:2 (2011), 55–80  mathnet  crossref  elib
56. 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  mathnet  crossref
57. V. A. Kopyttsev, V. G. Mikhailov, “Ob odnom asimptoticheskom svoistve sfer v diskretnykh prostranstvakh bolshoi razmernosti”, Obozrenie prikladnoi i promyshlennoi matematiki, 18:4 (2011)

   2010
58. V. A. Kopyttsev, V. G. Mikhailov, “Poisson-type theorems for the number of special solutions of a random linear inclusion”, Discrete Math. Appl., 20:2 (2010), 191–211  mathnet  crossref  crossref  mathscinet  elib  scopus
59. V. A. Kopyttsev, V. G. Mikhailov, “Poisson type theorems for the number of solutions of random inclusions”, Mat. Vopr. Kriptogr., 1:4 (2010), 63–84  mathnet  crossref  elib
60. V. G. Mikhailov, “On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns”, Mat. Vopr. Kriptogr., 1:3 (2010), 27–43  mathnet  crossref  elib
61. V. A. Kopyttsev, V. G. Mikhailov, “Issledovanie chisla reshenii sluchainykh nelineinykh sistem vklyuchenii putem svedeniya ikh k lineinym sistemam vklyuchenii”, Obozrenie prikladnoi i promyshlennoi matematiki, 17:3 (2010), 367–368
62. V. A. Kopyttsev, V. G. Mikhailov, “Predelnaya teorema dlya chisla nenulevykh reshenii sluchainogo vklyucheniya”, Obozrenie prikladnoi i promyshlennoi matematiki, 17:3 (2010), 368–369
63. N. M. Mezhennaya, V. G. Mikhailov, “Odin podkhod k razlicheniyu gipotez v zadache o plotnom vlozhenii”, Obozrenie prikladnoi i promyshlennoi matematiki, 17:3 (2010)
64. N. M. Mezhennaya, V. G. Mikhailov, “Nizhnie otsenki dlya veroyatnosti vlozheniya s proizvolnym dopuskom”, Obozrenie prikladnoi i promyshlennoi matematiki, 17:4 (2010)

   2009
65. V. A. Kopyttsev, V. G. Mikhailov, “Nekotorye sledstviya iz teorem puassonovskogo tipa dlya chisla reshenii sluchainogo lineinogo vklyucheniya”, Obozrenie prikladnoi i promyshlennoi matematiki, 16:5 (2009)

   2008
66. V. G. Mikhailov, “Reducing the problem on the limit behavior of the number of solutions for system of equations with random choice of unknowns to a problem on the allocation of particles”, Tr. Diskr. Mat., 11, no. 2, Fizmatlit, Moscow, 2008, 112–124  mathnet
67. V. G. Mikhailov, “Mnogomernye predelnye teoremy puassonovskogo tipa v zadachakh veroyatnostnoi kombinatoriki”, Obozrenie prikladnoi i promyshlennoi matematiki, 15:4 (2008), 752–753  mathscinet  elib
68. V. G. Mikhailov, “On the asymptotic behaviour of the probability of existence of equivalent tuples with nontrivial structure in a random sequence”, Discrete Math. Appl., 18:6 (2008), 563–568  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus

   2009
69. V. G. Mikhailov, “A Poisson-Type Limit Theorem for the Number of Pairs of Matching Sequences”, Theory Probab. Appl., 53:1 (2009), 106–116  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
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© Steklov Math. Inst. of RAS, 2025