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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.PR2026
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.PR2026
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…