Computation of distributions of the numbers of components and cyclic points for random mappings
Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 2, pp. 5-18
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Markov chain based algorithms for the exact computation of distributions of the numbers of components and cyclic points for the random mapping of a finite set into itself and for the iteration of two such mappings are described.
@article{MVK_2010_1_2_a0,
author = {A. M. Zubkov},
title = {Computation of distributions of the numbers of components and cyclic points for random mappings},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {5--18},
year = {2010},
volume = {1},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2010_1_2_a0/}
}
A. M. Zubkov. Computation of distributions of the numbers of components and cyclic points for random mappings. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 2, pp. 5-18. http://geodesic.mathdoc.fr/item/MVK_2010_1_2_a0/
[1] Kolchin V. F., “Odin klass predelnykh teorem dlya uslovnykh raspredelenii”, Lit. matem. sb., 8:1 (1968), 53–63 | MR
[2] Kolchin V. F., Sluchainye otobrazheniya, Nauka, M., 1984 | MR | Zbl
[3] Flajolet P., Odlyzko A. M., “Random mapping statistics”, Lect. Notes Comp. Sci., 434, 1989, 329–354 | MR
[4] Harris B., “A survey of the early history of the theory of random mappings”, Probabilistic Methods in Discrete Mathematics, TVP–VSP, Moscow, 1993, 1–22 | MR | Zbl
[5] Harris B., “Probability distributions related to random mappings”, Ann. Math. Statist., 31:4 (1960), 1045–1062 | DOI | MR | Zbl