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Distribution of the number of nonappearing lengths of cycles in a random mapping
Authors:A. S. Ambrosimov
Abstract:One-to-one random mappings of the set 1, 2,..., n onto itself are considered. Limit theorems are proved for the quantities mgri, 0leilen, max mgri, min mgri, where mgri is the number of 0leilen components of the vector (agr1, agr2,..., agrn) which are equal to i, 0< i< n, and ar is the number of components of dimension r of the random mapping.Translated from Matematicheskle Zametki, Vol. 23, No. 6, pp. 895–898, June, 1978.The author is grateful to V. P. Chistyakov and V. E. Stepanov for many useful remarks.
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