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Cycle type of random permutations: A toolkit - MaRDI portal

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Cycle type of random permutations: A toolkit

From MaRDI portal
Publication:6366040

DOI10.19086/DA.38090arXiv2104.12019MaRDI QIDQ6366040

Author name not available (Why is that?)

Publication date: 24 April 2021

Abstract: We prove a number of results, new and old, about the cycle type of a random permutation on S_n. Underlying our analysis is the idea that the number of cycles of size k is roughly Poisson distributed with parameter 1/k. In particular, we establish strong results about the distribution of the number of cycles whose lengths lie in a fixed but arbitrary set I. Our techniques are motivated by the theory of sieves in number theory.












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