2 problems

Let $m$ be a positive integer, let $\boldsymbol{p}_m\in(0,1)^m$ have non-increasing entries, and let $\gamma$ be the product parameter used for the cyclic birth and death chain. Fo…

Let $m$ be a positive integer, let $\boldsymbol{a}_m=(a_0,a_1,\dots,a_{m-1})\in(0,\infty)^m$ have non-increasing entries, let $\mathcal{S}_m$ be the set of permutations of…