Muestra métricas de impacto externas asociadas a la publicación. Para mayor detalle:
| Indexado |
|
||||
| DOI | 10.1016/J.TCS.2018.09.012 | ||||
| Año | 2019 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
This paper studies balancedness for infinite words and subshifts, both for letters and factors. Balancedness is a measure of disorder that amounts to strong convergence properties for frequencies. It measures the difference between the numbers of occurrences of a given word in factors of the same length. We focus on two families of words, namely dendric words and words generated by substitutions. The family of dendric words includes Sturmian and Arnoux-Rauzy words, as well as codings of regular interval exchanges. We prove that dendric words are balanced on letters if and only if they are balanced on words. In the substitutive case, we stress the role played by the existence of coboundaries taking rational values and show simple criteria when frequencies take rational values for exhibiting imbalancedness. (C) 2018 Elsevier B.V. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Berthe, Valerie | Mujer |
Univ Paris Diderot Paris 7 - Francia
Universite Paris 7- Denis Diderot - Francia Institut de Recherche en Informatique Fondamentale (IRIF) - Francia |
| 2 | CECCHI-BERNALES, PAULINA ALEJANDRA | Mujer |
Univ Paris Diderot Paris 7 - Francia
Universidad de Santiago de Chile - Chile Universite Paris 7- Denis Diderot - Francia Institut de Recherche en Informatique Fondamentale (IRIF) - Francia |
| Fuente |
|---|
| Comisión Nacional de Investigación Científica y Tecnológica |
| Consejo Nacional de Innovacion, Ciencia y Tecnologia |
| Agence Nationale de la Recherche |
| PhD grant CONICYT - PFCHA/Doctorado Nacional |
| Agence Nationale de la Recherche through the project "Dyna3S" |
| Agradecimiento |
|---|
| The second author was supported by the PhD grant CONICYT - PFCHA/Doctorado Nacional/2015-21150544. |
| This work was supported by the Agence Nationale de la Recherche through the project “Dyna3S” (ANR-13-BS02-0003).The second author was supported by the PhD grant CONICYT - PFCHA/Doctorado Nacional/2015-21150544. |