127 citations · 452 across the 42 of their papers we have counts for
47 papers
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…
Proof of a conjecture by Starr and log-concavity for random commuting permutations
Abdelmalek Abdesselam
We prove a conjecture by Shannon Starr regarding the asymptotics for the number of tuples of commuting permutations with given number of joint orbits. These numbers generalize unsi…
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…
Bessenrodt--Ono inequalities for -tuples of pairwise commuting permutations
Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser
Let denote the symmetric group. We consider \begin{equation*} N_{\ell}(n) := \frac{\left\vert Hom\left( \mathbb{Z}^{\ell},S_n\right) \right\vert}{n!} \end{equation*} which al…
A combinatorial formula for the coefficients of multidimensional resultants
Abdelmalek Abdesselam
The classical multidimensional resultant can be defined as the, suitably normalized, generator of a projective elimination ideal in the ring of universal coefficients. This is the…
On a mod property of -tuples of pairwise commuting permutations
Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser
Let denote the symmetric group of permutations acting on elements. We investigate the double sequence counting the number of tuples of elements o…