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- W2258369316 abstract "We explore the probability that a permutation sampled from the symmetric group of order n uniformly at random has cycles of lengths not exceeding r. Asymptotic formulas valid in specified regions for the ratio n/r are obtained using the saddle point method combined with ideas originated in analytic number theory. Theorem 1 and its detailed proof are included to rectify formulas for small r which have been announced by a few other authors." @default.
- W2258369316 created "2016-06-24" @default.
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- W2258369316 date "2014-12-31" @default.
- W2258369316 modified "2023-10-17" @default.
- W2258369316 title "Local probabilities for random permutations without long cycles" @default.
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