2021 paper still praised: Shannon entropy is a derivation of the topological simplex operad
burny_tech · x · 2026-11-10
Tai-Danae Bradley's 2021 paper 'Entropy as a Topological Operad Derivation' is being re-recommended as timeless. It connects information theory, algebra and topology: Shannon entropy defines a derivation of the operad of topological simplices, and every derivation of this operad equals a constant multiple of Shannon entropy at some point. The result builds on Faddeev's 1956 characterization and a recent variation by Leinster.
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