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We study the length of cycles of random permutations drawn from the Mallows distribution. Under this distribution, the probability of a permutation π ∈ 𝕊n is proportional to qinv(π) where q > 0 and ...
Martin W. Liebeck, Aner Shalev, Simple Groups, Permutation Groups, and Probability, Journal of the American Mathematical Society, Vol. 12, No. 2 (Apr., 1999), pp. 497-520 ...
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