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math-ph2025
Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond
Tomas Berggren, Marianna Russkikh
This paper explores the connection between perfect t-embeddings and the octahedron equation in the setting of the two-periodic Aztec diamond. In particular, we show that the positi…
math-ph2018
Dominos in hedgehog domains
Marianna Russkikh
We introduce a new class of discrete approximations of planar domains that we call "hedgehog domains". In particular, this class of approximations contains two-step Aztec diamonds…