Geodesic
The operad of Latin hypercubes
Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 475-486

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DOI

We show that the sets of $d$-dimensional Latin hypercubes over a non-empty set $X$, with $d$ running over the positive integers, determine an operad which is isomorphic to a sub-operad of the endomorphism operad of $X$. We generalise this to categories with finite products, and then further to internal versions for certain Cartesian closed monoidal categories with pullbacks.
DOI : 10.1017/S0017089525000047
Mots-clés : Latin hypercube, operad 
Linckelmann, Markus. The operad of Latin hypercubes. Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 475-486. doi: 10.1017/S0017089525000047
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     title = {The operad of {Latin} hypercubes},
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     year = {2025},
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     doi = {10.1017/S0017089525000047},
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