Meaning of homomesy | Babel Free

Definitions

The property of a set where all orbit averages are equal to the global average.

Examples

“After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy. A further application of these ideas shows that the statistic tracking the number of maximal elements in an order ideal is also homomesic, extending another result of Propp and Roby..”

CEFR level