homomesy

English

homomesy

(mathematics) The property of a set where all orbit averages are equal to the global average.
- 2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv‎:
  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..

单词	homomesy
释义	homomesy English Noun homomesy (mathematics) The property of a set where all orbit averages are equal to the global average. 2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv‎: 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.. Related terms homomesic
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