12 citations · 76 across the 61 of their papers we have counts for
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math.CO2019★ 8 cited
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations
Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock +1
We establish and explore a relationship between two approaches to moment-cumulant relations in free probability theory: on one side the main approach, due to Speicher, given in ter…
math.RA2019
Realizations of Hopf algebras of graphs by alphabets
Loïc Foissy
We here give polynomial realizations of various Hopf algebras or bialgebras on Feynman graphs, graphs, posets or quasi-posets, that it to say injections of these objects into polyn…
math.RA2019★ 2 cited
Twisted bialgebras, cofreeness and cointeraction
Loïc Foissy
We study twisted bialgebras and double twisted bialgebras, that is to say bialgebras in the category of linear species, or in the category of species in the category of coalgebras.…