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.
|Title of host publication||15th International Conference, CIAA 2010|
|Number of pages||10|
|Publication status||Published - 2011|
|Name||LECTURE NOTES IN COMPUTER SCIENCE|
- Theoretical Computer Science
- General Computer Science