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On Functions Which are Limits of Domino Tilings

In: Formal Power Series and Algebraic Combinatorics

Author

Listed:
  • Eric Rémila

    (ENS Lyon, LIP, umr 5668 CNRS
    Université Jean Monnet Saint-Etienne, GRIMA, IUT Roanne)

Abstract

In this paper, we study domino tilings of polygons. We are especially interested in what happens when the domino prototiles become smaller and smaller. This study is done using tiling height functions, which are a numerical way to encode tilings. The main result of this paper is an analytic characterization of functions which are limits of height functions when the size of dominoes converges to 0. It is obtained from lattice properties of sets of tilings induced by height functions.

Suggested Citation

  • Eric Rémila, 2000. "On Functions Which are Limits of Domino Tilings," Springer Books, in: Daniel Krob & Alexander A. Mikhalev & Alexander V. Mikhalev (ed.), Formal Power Series and Algebraic Combinatorics, pages 320-331, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04166-6_29
    DOI: 10.1007/978-3-662-04166-6_29
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