3 problems

Let $T\in(\mathbb{R}^d)^{\otimes r}$ be a symmetric jointly Gaussian tensor with mean zero, and let $\sigma_{(1,\mathcal{I}_2)}$ denote the first parameter in the paper's variance-…

Real-complex asymptotic equivalence conjecture. The asymptotic limits of the injective norms of corresponding real and complex Gaussian tensors are identical.

Inverse-square-root correction conjecture. The first correction term to the asymptotic injective norm is of order $\frac{1}{\sqrt{d}}$.