Alexis Imbert

collaborators

3 papers

math.PR2026

Spectral aspects of random heavy-tailed tensors

Remi Bonnin, Alexis Imbert

We introduce heavy-Wigner random tensors and establish the convergence of a generating family of invariant linear forms in their entries together with a central limit theorem. The…

math.PR2026

A random matrix approach to lamplighter groups

Alexis Imbert

Let $Λ$ be a finitely generated abelian group and $Γ = Z^{* d}$ , we study the Cayley graph of the wreath product $G = Λ ≀ Γ$ with natural set of generators and their inverse $S$ …

math.PR2026

Convergence rate of the diagonal-valued Cauchy-transform for permutation invariant random matrices

Alexis Imbert

Let $A$ be a permutation invariant random matrix and $B$ another random matrix. We give a quantitative bound on the difference between the diagonal of the resolvent of $A + B$ and th…