6 citations · 8 across the 2 of their papers we have counts for
2 papers
math-ph2023★ 2 cited
On the algebraic area of cubic lattice walks
Li Gan
We obtain an explicit formula to enumerate closed random walks on a cubic lattice with a specified length and 3D algebraic area. The 3D algebraic area is defined as the sum of alge…
math-ph2022★ 6 cited
Combinatorics of generalized Dyck and Motzkin paths
Li Gan, Stéphane Ouvry, Alexios P. Polychronakos
We relate the combinatorics of periodic generalized Dyck and Motzkin paths to the cluster coefficients of particles obeying generalized exclusion statistics, and obtain explicit ex…