homomesy
名词 n.
英文释义
名词 n.
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The property of a set where all orbit averages are equal to the global average.
— 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..
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