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 , where …
math-ph2025
Characterization of Gaussian Tensor Ensembles
Rémi Bonnin
The starting point of this work is a theorem due to Maxwell characterizing the distribution of a Gaussian vector with at least two coordinates. We define the Gaussian orthogonal, u…
math.OA2024
Tensorial free convolution, semicircular, free Poisson and R-transform in high order
Remi Bonnin
This work builds on our previous developments regarding a notion of freeness for tensors. We aim to establish a tensorial free convolution for compactly supported measures. First,…