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math.CO2024
Boolean, Free, and Classical Cumulants as Tree Enumerations
Colin Defant, Mitchell Lee
Defant found that the relationship between a sequence of (univariate) classical cumulants and the corresponding sequence of (univariate) free cumulants can be described combinatori…
math.CO2024
Operahedron Lattices
Colin Defant, Andrew Sack
Laplante-Anfossi associated to each rooted plane tree a polytope called an operahedron. He also defined a partial order on the vertex set of an operahedron and asked if the resulti…