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Papers by Michael Lugo
The Electronic Journal of Combinatorics, 2009
This paper develops an analogy between the cycle structure of, on the one hand, random permutatio... more This paper develops an analogy between the cycle structure of, on the one hand, random permutations with cycle lengths restricted to lie in an infinite set SSS with asymptotic density sigma\sigmasigma and, on the other hand, permutations selected according to the Ewens distribution with parameter sigma\sigmasigma. In particular we show that the asymptotic expected number of cycles of random permutations
The Electronic Journal of Combinatorics, 2009
This paper develops an analogy between the cycle structure of, on the one hand, random permutatio... more This paper develops an analogy between the cycle structure of, on the one hand, random permutations with cycle lengths restricted to lie in an infinite set SSS with asymptotic density sigma\sigmasigma and, on the other hand, permutations selected according to the Ewens distribution with parameter sigma\sigmasigma. In particular we show that the asymptotic expected number of cycles of random permutations