9 citations · 82 across the 42 of their papers we have counts for
4 papers · 1 filter
Plane partitions of shifted double staircase shape
Sam Hopkins, Tri Lai
We give a product formula for the number of shifted plane partitions of shifted double staircase shape with bounded entries. This is the first new example of a family of shapes wit…
Tilted Halved Hexagons: Hexagons, Semi-hexagons, and Halved Hexagons Under One Roof
Tri Lai
We investigate a new family of regions that is the universal generalization of three well-known region families in the field of enumeration of tilings: the quasi-regular hexagons,…
Tiling generating functions of halved hexagons and quartered hexagons
Tri Lai, Ranjan Rohatgi
We prove exact product formulas for the tiling generating functions of various halved hexagons and quartered hexagons with defects on boundary. Our results generalize the previous…
Ratio of tiling generating functions of semi-hexagons and quartered hexagons with dents
Tri Lai
We consider the tiling generating functions of semi-hexagons and quartered hexagons with dents on their sides. In general, there are no simple product formulas for these generating…