5 papers
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 …
Freeness for tensors
Remi Bonnin, Charles Bordenave
We pursue the current developments in random tensor theory by laying the foundations of a free probability theory for tensors and establish its relevance in the study of random ten…
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…
Universality of the Wigner-Gurau limit for random tensors
Remi Bonnin
In this article, we develop a combinatorial approach for studying moments of the resolvent trace for random tensors proposed by Razvan Gurau. Our work is based on the study of hype…
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,…