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math.PR2026
A central limit theorem for connected components of random coverings of manifolds with nilpotent fundamental groups
Abdelmalek Abdesselam
There is a well understood way of generating random coverings of a fixed manifold by sampling homomorphisms from the fundamental group of this manifold into the symmetric group. We…
math.PR2026
A central limit theorem for a generalization of the Ewens measure to random tuples of commuting permutations
Abdelmalek Abdesselam, Shannon Starr
We prove a central limit theorem (CLT) for the number of joint orbits of random tuples of commuting permutations. In the uniform sampling case this generalizes the classic CLT of G…