2 problems

The multislice consists of vectors in $\{0,\ldots,m-1\}^n$ with prescribed numbers of coordinates of each value. More precisely, for a partition $n=\lambda_0+\cdots+\lambda_{m-1}$,…

Let $\kappa=(\kappa_1,\ldots,\kappa_L)$ be the parameter defining the multislice, let $\tau_{\textsc{ls}}(\kappa)$ denote the log-Sobolev constant of its transposition walk, and se…