D. Keating

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math.CO2025

Equivalences of LLT polynomials via lattice paths

David Keating

The LLT polynomials $L_{I^^{2} / I^^{3}} (X; t)$ are a family of symmetric polynomials indexed by a tuple of (possibly skew-)partitions $\mathbfÎ²/\mathbfÎ³= (Î²^{(1)}…

math.CO2024

Colored vertex models and $k$ -tilings of the Aztec diamond

Sylvie Corteel, Andrew Gitlin, David Keating

We study $k$ -tilings ( $k$ -tuples of domino tilings) of the Aztec diamond of rank $m$ . We assign a weight to each $k$ -tiling, depending on the number of dominos of certain types and…

Equivalences of LLT polynomials via lattice paths

Colored vertex models and k-tilings of the Aztec diamond

Colored vertex models and $k$ -tilings of the Aztec diamond