Words, tilings and combinatorial spectra

  • Morita Jun
    Institute of Mathematics University of Tsukuba Tsukuba, Ibaraki, 305-8571 Japan
  • Terui Akira
    Institute of Mathematics University of Tsukuba Tsukuba, Ibaraki, 305-8571 Japan

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Description

We will introduce some combinatorics for given words. Such combinatorics can essentially determine the exact information of letters as well as the patterns of words. This method can induce a characterization of the so-called local indistinguishability for one dimensional tilings, which allows us to have a new development for tiling bialgebras.Using those combinatorics associated with words and one dimensional tilings, we can obtain their combinatorial spectra as certain sets of functions or positive real numbers. We will also discuss higher dimensional tilings. Furthermore, we will try to compute some genome examples.

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Details 詳細情報について

  • CRID
    1572261552466029696
  • NII Article ID
    110007014252
  • NII Book ID
    AA00664323
  • ISSN
    00182079
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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