23 citations · 101 across the 22 of their papers we have counts for
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math.QA2016★ 1 cited
An operadic approach to operator-valued free cumulants
Gabriel C. Drummond-Cole
An operadic framework is developed to explain the inversion formula relating moments and cumulants in operator-valued free probability theory.
math.QA2016
A non-crossing word cooperad for free homotopy probability theory
Gabriel C. Drummond-Cole
We construct a cooperad which extends the framework of homotopy probability theory to free probability theory. The cooperad constructed, which seems related to the sequence and cac…
math.QA2008★ 6 cited
Algebras over Cobar(coFrob)
Gabriel C. Drummond-Cole, John Terilla, Thomas Tradler
We show that a square zero, degree one element in W(V), the Weyl algebra on a vector space V, is equivalent to providing V with the structure of an algebra over the properad Cobar(…