6 citations · 14 across the 4 of their papers we have counts for
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Lattice random walks and quantum A-period conjecture
Li Gan
We derive explicit closed-form expressions for the generating function , which enumerates classical closed random walks on square and triangular lattices with steps and…
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…
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…
Algebraic area enumeration of random walks on the honeycomb lattice
Li Gan, Stéphane Ouvry, Alexios P. Polychronakos
We study the enumeration of closed walks of given length and algebraic area on the honeycomb lattice. Using an irreducible operator realization of honeycomb lattice moves, we map t…