Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules
Baake, Michael ; Moody, Robert V.
arXiv, 9809008 / Harvested from arXiv
Text on arXiv
The problem of invariance and self-similarity in Z-modules is investigated. For a selection of examples relevant to quasicrystals, especially Fibonacci modules, we determine the semigroup of self-similarities and encapsulate the number of similarity submodules in terms of Dirichlet series generating functions.
Publié le : 1998-09-04
Classification:  Mathematical Physics,  Mathematics - Combinatorics,  Mathematics - Metric Geometry 
@article{9809008,
     author = {Baake, Michael and Moody, Robert V.},
     title = {Invariant Submodules and Semigroups of Self-Similarities for Fibonacci
  Modules},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809008}
}

Baake, Michael; Moody, Robert V. Invariant Submodules and Semigroups of Self-Similarities for Fibonacci
  Modules. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809008/