Cycle structure of random substitutions on the set of two-color elements. III
Matematičeskie voprosy kriptografii, Tome 13 (2022) no. 1, pp. 7-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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The study of random equiprobable substitutions with elements marked with two colors is continued. Here we consider series of subsequent elements of the same color in two-color cycles.
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V. E. Viktorenkov. Cycle structure of random substitutions on the set of two-color elements. III. Matematičeskie voprosy kriptografii, Tome 13 (2022) no. 1, pp. 7-31. http://geodesic.mathdoc.fr/item/MVK_2022_13_1_a1/

[1] Viktorenkov V. E., “O stroenii orgrafov polinomialnykh preobrazovanii nad konechnymi kommutativnymi koltsami s edinitsei”, Diskretnaya matematika, 29:3 (2017), 3–23

[2] Viktorenkov V. E., “Tsiklovaya struktura sluchainykh podstanovok na mnozhestve dvukhtsvetnykh podstanovok. I”, Matematicheskie voprosy kriptografii, 10:3 (2019), 9–32 | MR | Zbl

[3] Viktorenkov V. E., “Tsiklovaya struktura sluchainykh podstanovok na mnozhestve dvukhtsvetnykh podstanovok. II”, Matematicheskie voprosy kriptografii, 12:1 (2021), 5–21 | Zbl

[4] Ivchenko G. I., Medvedev Yu. I., “Ob odnom klasse neravnoveroyatnykh podstanovok sluchainoi stepeni”, Trudy po diskretnoi matematike, 7 (2003), 75–88

[5] Ivchenko G. I., Medvedev Yu. I., “Sluchainye nepolnye podstanovki”, Trudy po diskretnoi matematike, 11 (2008), 35–46

[6] Ivchenko G. I., Medvedev Yu. I., Diskretnye raspredeleniya. Veroyatnostno-statisticheskii spravochnik. Mnogomernye raspredeleniya, LENAND, M., 2016, 336 pp.

[7] Kolchin V. F., Sluchainye otobrazheniya, Nauka, M., 1984, 206 pp.

[8] Riordan Dzh., Vvedenie v kombinatornyi analiz, IL, M., 1963, 287 pp.

[9] Sachkov V. N., Veroyatnostnye metody v kombinatornom analize, Nauka, M., 1978, 288 pp. | MR

[10] Sachkov V. N., Vvedenie v kombinatornye metody diskretnoi matematiki, Nauka, M., 1982, 384 pp. | MR

[11] Sachkov V. N., “Operator redutsirovaniya. I”, Trudy po diskretnoi matematike, 2 (1998), 282–295 | MR | Zbl