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Joint Probabilities within Random Permutations

A celebrated analogy between prime factorizations of integers and cycle decompositions of permutations is explored here. Asymptotic formulas characterizing semismooth numbers (possessing at most several large factors) carry over to random permutations. We offer a survey of practical methods for computing relevant probabilities of a bivariate or trivariate flavor.

preprint2022arXivOpen access
Steven Finch
math.CODiscrete Mathematicsmath.NT
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Open access1 author3 topics
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Steven Finch

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