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What is Arctic Circle Theorem about?

This paper explores the relationship between random domino tilings of the Aztec diamond and random square Young tableaux, particularly focusing on the arctic circle phenomenon observed in both models. It presents a new derivation of the limiting shape of the height function for domino tilings using large-deviation techniques, highlighting a connection to square Young tableaux. The findings suggest that both models exhibit similar asymptotic behaviors, characterized by a phase transition along a circular bou

Author

heyme12121

Language

EN