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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. We aggregate all connected rooted -re…
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…