@inbook{eca0909decc24e4b918097b95fdfffae,
title = "On lazy representations and Sturmian graphs",
abstract = "In this paper we establish a strong relationship between theset of lazy representations and the set of paths in a Sturmian graph associatedwith a real number α. We prove that for any non-negative integeri the unique path weighted i in the Sturmian graph associated with αrepresents the lazy representation of i in the Ostrowski numeration systemassociated with α. Moreover, we provide several properties of therepresentations of the natural integers in this numeration system.",
keywords = "Sturmian graphs, continued fractions, numeration systems, Sturmian graphs, continued fractions, numeration systems",
author = "Chiara Epifanio and Filippo Mignosi and Jeffrey Shallit and Christiane Frougny",
year = "2011",
language = "English",
isbn = "978-3-642-18097-2",
series = "LECTURE NOTES IN COMPUTER SCIENCE",
pages = "125--134",
booktitle = "15th International Conference, CIAA 2010",
}