R. Gurau

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20242026

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math-ph2025

The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors

Razvan Gurau, Felix Joos, Benjamin Sudakov

We consider real tensors of order $D$ , that is $D$ -dimensional arrays of real numbers $T_{a^{1} a^{2} \dots a^{D}}$ , where each index $a^{c}$ can take $N$ values. The tensor entries $T_{a^1…

math-ph2025

Free cumulants and freeness for unitarily invariant random tensors

Benoit Collins, Razvan Gurau, Luca Lionni

We address the question of the asymptotic description of random tensors that are local-unitary invariant, that is, invariant by conjugation by tensor products of independent unitar…

The large N factorization does not hold for arbitrary multi-trace observables in random tensors

Free cumulants and freeness for unitarily invariant random tensors

The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors