Enumeration of octagonal random tilings by the Gessel-Viennot method

نویسندگان

  • N. Destainville
  • R. Mosseri
  • F. Bailly
چکیده

We propose the first algebraic determinantal formula to enumerate random rhombus tilings filling a centro-symmetric octagon of any size. This result uses the GesselViennot technique and generalizes to any octagon a former specialized formula by Elnitsky.

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تاریخ انتشار 2003