1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
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. We aggregate all connected rooted -re…
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…
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…