Geodesic
Random substitutions with cycles of bounded lengths and transforming
Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 3, pp. 117-136 Cet article a éte moissonné depuis la source Math-Net.Ru

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Random substitutions of degree $n$ having the uniform distribution on the set of substitutions with cycles lengths belonging to the set $A\subseteq\{1,2,\dots,m\}$ are considered. Cycles of such substitution are transformed independently with probabilities depending on the cycle length. Exact and limits distributions of the number of nontransformed cycles are investigated. 
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V. N. Sachkov. Random substitutions with cycles of bounded lengths and transforming. Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 3, pp. 117-136. http://geodesic.mathdoc.fr/item/MVK_2014_5_3_a5/

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