Domino tilings of the Aztec diamond with doubly periodic weightings

• Main Author: Berggren, Tomas
• Format: Article in Journal/Newspaper
• Language: unknown
• Published: arXiv 2019
• Subjects: Probability math.PR; Mathematical Physics math-ph; FOS Mathematics; FOS Physical sciences; Arctic; Kenyon
• Online Access: https://dx.doi.org/10.48550/arxiv.1911.01250; https://arxiv.org/abs/1911.01250

In this paper we consider domino tilings of the Aztec diamond with doubly periodic weightings. In particular a family of models which, for any $ k \in \mathbb{N} $, includes models with $ k $ smooth regions is analyzed as the size of the Aztec diamond tends to infinity. We use a non-intersecting pat...