4 problems

Let $m$ be a sector, let $S(m)$ denote its set of configurations, and let $\mathbb{P}(\sigma_1,\ldots,\sigma_L)$ be the stationary weight of a configuration…

Equality conjecture. The two critical densities coincide:

Let $\tilde{\boldsymbol{ối}}$ be a strict partition, let $n\in\mathbb{N}$, and let $\sigma\in\operatorname{Tab}(\tilde{\boldsymbol{\bối}}^{\mathrm{c}},n)$ be a filling. Let…

Reduced partition-function conjecture. The partition function of this mTAZRP chain is reduced.