Geodesic
Random substitutions with transformed cycles
Matematičeskie voprosy kriptografii, Tome 3 (2012), pp. 127-150

Voir la notice de l'article provenant de la source Math-Net.Ru

Let for the cycles of a random substitution two types of transformations are defined: deterministic and stochastic. We obtain exact and asymptotic distributions for the numbers of nontransformed cycles and $r$-cycles, for the cardinalities of the transitivity domains defined by such cycles. 
@article{MVK_2012_3_a5,
     author = {V. N. Sachkov},
     title = {Random substitutions with transformed cycles},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {127--150},
     publisher = {mathdoc},
     volume = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2012_3_a5/}
}
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V. N. Sachkov. Random substitutions with transformed cycles. Matematičeskie voprosy kriptografii, Tome 3 (2012), pp. 127-150. http://geodesic.mathdoc.fr/item/MVK_2012_3_a5/