Reversed-speed states are least likely in multispecies exclusion

Consider a cycle containing particles of several classes, with each class assigned its speed. A state is reversed-speed ordered if, after cutting the cycle at some point, its particles are arranged in decreasing order of speed.

Least-likely-state conjecture. In the stationary distribution, the least likely states are precisely those that are reversed-speed ordered.

This conjecture extends the qualitative results for the 2-type totally asymmetric exclusion process to cycles with more particle classes. The supplied text gives no resolution status.