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Article Dans Une Revue Journal of Statistical Physics Année : 2019

The Arctic Curve for Aztec Rectangles with Defects via the Tangent Method

Résumé

The Tangent Method of Colomo and Sportiello is applied to the study of the asymptotics of domino tilings of large Aztec rectangles, with some fixed distribution of defects along a boundary. The associated non-intersecting lattice path configurations are made of Schröder paths whose weights involve two parameters and q keeping track respectively of one particular type of step and of the area below the paths. We predict the arctic curve for an arbitrary distribution of defects, and illustrate our result with a number of examples involving different classes of boundary defects.

Dates et versions

hal-04404664 , version 1 (19-01-2024)

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Philippe Di Francesco, Emmanuel Guitter. The Arctic Curve for Aztec Rectangles with Defects via the Tangent Method. Journal of Statistical Physics, 2019, 176 (3), pp.639-678. ⟨10.1007/s10955-019-02315-2⟩. ⟨hal-04404664⟩
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