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Random derangements and the Ewens Sampling Formula
Poly H. da Silva, Arash Jamshidpey, Simon Tavaré
We study derangements of under the Ewens distribution with parameter . We give the moments and marginal distributions of the cycle counts, the number of cycle…
math.PR2020
A note on the Screaming Toes game
Simon Tavaré
We investigate properties of random mappings whose core is composed of derangements as opposed to permutations. Such mappings arise as the natural framework to study the Screaming…