Constructs all distributive lattices between weak and Bruhat orders in type A indexed by binary trees via root poset rectangles, proves uniqueness, and generalizes to minuscule middle orders as a subset of sorting orders in other Weyl groups.
Mixed dimer models for Euler and Catalan numbers
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.
citing papers explorer
-
Middle orders: all distributive lattices between weak and Bruhat
Constructs all distributive lattices between weak and Bruhat orders in type A indexed by binary trees via root poset rectangles, proves uniqueness, and generalizes to minuscule middle orders as a subset of sorting orders in other Weyl groups.
-
Higher $q$-Continued Fractions and Dimers on Band Graphs
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.