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- W2045591718 abstract "We consider the class of all nn single-valued mappings of an n-element set into itself. Assuming that all such mappings have the same probabilities equal to n–n, we investigate the distribution of the random variable νn equal to the number of connected components in such random mapping. We obtain asymptotic estimates of the probability P{νn = N} as n, N → ∞ in such a way that the ratio N/ln n does not tend to 0 and infinity. In the case where as n → ∞, we obtain a complete asymptotic expansion of this probability." @default.
- W2045591718 created "2016-06-24" @default.
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- W2045591718 date "2011-01-01" @default.
- W2045591718 modified "2023-09-25" @default.
- W2045591718 title "Asymptotic expansions for the distribution of the number of components in random mappings and partitions" @default.
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- W2045591718 doi "https://doi.org/10.1515/dma.2011.018" @default.
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