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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

Mat. Vopr. Kriptogr., 2022 Volume 13, Issue 1, Pages 7–31 (Mi mvk400)

Cycle structure of random substitutions on the set of two-color elements. III

V. E. Viktorenkov

Academy of Cryptography of the Russian Federation, Moscow

Abstract: 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.

Key words: equiprobable substitutions, one-color series, alternating series, partial and reduced substitutions, substitutions of random degree, limit theorems.

UDC: 519.212.2

Received 12.V.2021

DOI: 10.4213/mvk400



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