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Double-dimers and the hexahedron recurrence

We define and study a recurrence relation in $\mathbb{Z}^3$, called the hexahedron recurrence, which is similar to the octahedron recurrence (Hirota bilinear difference equation) and cube recurrence (Miwa equation). Like these examples, solutions to the hexahedron recurrence are partition functions...

Ausführliche Beschreibung

Gespeichert in:
Bibliografische Detailangaben
Hauptverfasser: Richard Kenyon, Robin Pemantle
Format: Artigo
Sprache:Inglês
Veröffentlicht: Discrete Mathematics & Theoretical Computer Science 2013-01-01
Schriftenreihe:Discrete Mathematics & Theoretical Computer Science
Schlagworte:
Online-Zugang:https://dmtcs.episciences.org/12797/pdf
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