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• W3103485174 startingPage "285204" @default.
• W3103485174 abstract "We study the octahedron relation (also known as the $A_{infty}$ $T$-system), obeyed in particular by the partition function for dimer coverings of the Aztec Diamond graph. For a suitable class of doubly periodic initial conditions, we find exact solutions with a particularly simple factorized form. For these, we show that the density function that measures the average dimer occupation of a face of the Aztec graph, obeys a system of linear recursion relations with periodic coefficients. This allows us to explore the thermodynamic limit of the corresponding dimer models and to derive exact arctic curves separating the various phases of the system." @default.
• W3103485174 created "2020-11-23" @default.
• W3103485174 creator A5021945932 @default.
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• W3103485174 date "2014-06-30" @default.
• W3103485174 modified "2023-10-06" @default.
• W3103485174 title "Arctic curves of the octahedron equation" @default.
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• W3103485174 doi "https://doi.org/10.1088/1751-8113/47/28/285204" @default.
• W3103485174 hasPublicationYear "2014" @default.
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