3 papers
math.CO2025
The Affine Tamari Lattice
Grant Barkley, Colin Defant
Given a fixed integer , we construct two new finite lattices that we call the cyclic Tamari lattice and the affine Tamari lattice. The cyclic Tamari lattice is a sublattic…
math.CO2025
The Pop-Stack Operator on Ornamentation Lattices
Khalid Ajran, Colin Defant
Each rooted plane tree has an associated ornamentation lattice . The ornamentation lattice of an -element chain is the -th Tamari lattic…
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…