3 problems

Let $D$ be the tensor rank, let ${\bm{\sigma}}=(\sigma_1,\ldots,\sigma_D)\in S_n^D$ be a trace-invariant, and let $K_\mathrm{p}({\bm{\sigma}},\eta)$ denote the number of pure conne…

Large-$N$ inverse-function conjecture. In this limit, $f$ and $g$ are inverses of each other.

Let ${\bm{\tau}}\in S_n^D$, and let $\nabla({\bm{\tau}};\eta)$ be the nonnegative quantity whose vanishing characterizes the relevant compatible configurations. For a permutation o…