homomesy

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noun

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

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Meanings

noun
  1. mathematicsThe property of a set where all orbit averages are equal to the global average.
    1 more example

    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..

    2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv

Rhymes & wordplay

Anagrams

homosemy
Cite this entry
APA

homomesy. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/homomesy

MLA

“homomesy.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/homomesy. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “homomesy,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/homomesy.

Source: homomesy on Wiktionary, CC BY-SA 4.0.