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Universality for random tensors

Razvan Gurau — 2014

Annales de l'I.H.P. Probabilités et statistiques

We prove two universality results for random tensors of arbitrary rank D . We first prove that a random tensor whose entries are N D independent, identically distributed, complex random variables converges in distribution in the large N limit to the same limit as the distributional limit of a Gaussian tensor model. This generalizes the universality of random matrices to random tensors. We then prove a second, stronger, universality result. Under the weaker assumption that the joint probability distribution...

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