8 problems

Let $p_L^{(c)}$ be the stationary coefficients in model C, and let $M_L^{(c)}$ be their maximal value. Conjecture 13. The maximal coefficient $M_L^{(c)}$ occurs in the set…

Let $u$ and $v$ be Ballot paths of lengths $L$ and $L+1$, respectively. Let $v^*$ be the Anchored Cross path of length $L$ obtained by right reduction of $v$, with heights defined…

Conjecture 8. The source introduces these paths as the configurations used to formulate the subsequent orbit-sum relations, but the supplied candidate span contains only the setup…

Let $u$ and $v$ be Dyck paths of lengths $L$ and $L+1$, respectively. Let $^*v$ be the Ballot path of length $L$ obtained by left reduction of $v$, so that … Let ${\cal O}_l(w,s)$…

Let $\{h_i\}$ be any configuration in model A, and let $p^{(a)}_L$ denote its stationary-state coefficient. Conjecture 6. For every configuration $\{h_i\}$, there exists a configur…

Let $p_L^{(a)}$ and $p_L^{(b)}$ be the stationary coefficients in models A and B, and let $M_L^{(a)}$ and $M_L^{(b)}$ be their maximal coefficients. Let $S_L^{(a)}$ be the model-A…

Let $S_L^{(a)}$, $S_L^{(b)}$, and $S_L^{(c)}$ denote the total normalization factors of the stationary distributions in models A, B, and C. Let $A^V_n$ and $A^{VH}_n$ denote the nu…

Let $S_L^{(a)}$ and $S_L^{(b)}$ be the total normalization factors of the stationary probability distributions in models A and B. Let $A^V_n$ and $A^{VH}_n$ denote, respectively, t…