A mathematical method using swap distance in permutohedrons shows crosslinguistic gestures achieve at least 77% optimality, unlikely by chance, and unifies linguistic principles under optimal assignment.
Ferrer-i-Cancho, The exponential distribution of the order of demonstrative, numeral, adjec- tive and noun, Journal of Quantitative Linguistics 10.1080/09296174.2026.2617705 (2026)
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How to measure the optimality of word or gesture order with respect to the principle of swap distance minimization
A mathematical method using swap distance in permutohedrons shows crosslinguistic gestures achieve at least 77% optimality, unlikely by chance, and unifies linguistic principles under optimal assignment.