Alexis Imbert

collaborators

3 papers

math.PR2026

Spectral aspects of random heavy-tailed tensors

Remi Bonnin, Alexis Imbert

We investigate heavy-Wigner tensors: symmetric random tensors whose independent entries, up to the tensor symmetries, are centered and have moments of order $N^{- (p - 1)}$ , where $N$ …

math.PR2026

A random matrix approach to lamplighter groups

Alexis Imbert

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

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…