Universality for random tensors
We prove two universality results for random tensors of arbitrary rank . We first prove that a random tensor whose entries are independent, identically distributed, complex random variables converges in distribution in the large 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...