Model sets, almost periodic patterns, uniform density and linear maps

• Pierre-Antoine Guihéneuf ^[1]
  1. [1] Universidade Federal Fluminense

     Universidade Federal Fluminense

     Brasil

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 1, 2018, págs. 455-474
• Idioma: inglés
• DOI: 10.4171/RMI/992
• Texto completo no disponible (Saber más ...)
• Resumen

  • This article consists in two relatively independent parts. In the first one, we investigate the geometric properties of almost periodicity of model sets (or cut-and-project sets, defined under the weakest hypotheses); in particular we show that they are almost periodic patterns and thus possess a uniform density. In the second part, we prove that the class of model sets and almost periodic patterns are stable under discretizations of linear maps.