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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.PR2024
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…
math.PR2024★ 1 cited
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…