Name
Abstract | ||
|---|---|---|
In this paper we establish a strong relationship between the set of lazy representations and the set of paths in a Sturmian graph associated with a real number α. We prove that for any non-negative integer i the unique path weighted i in the Sturmian graph associated with α represents the lazy representation of i in the Ostrowski numeration system associated with α. Moreover, we provide several properties of the representations of the natural integers in this numeration system. |
Year | Venue | Keywords |
|---|---|---|
2010 | CIAA | sturmian graph,numeration system,real number,weighted i,lazy representation,unique path,strong relationship,natural integer,ostrowski numeration system,continued fractions,continued fraction |
Field | DocType | Volume |
Integer,Discrete mathematics,Graph,Combinatorics,Ostrowski numeration,Real number,Mathematics | Conference | 6482 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
5 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chiara Epifanio | 1 | 36 | 4.33 |
| Christiane Frougny | 2 | 233 | 45.06 |
| A. Gabriele | 3 | 24 | 3.37 |
| Filippo Mignosi | 4 | 569 | 99.71 |
| Jeffrey Shallit | 5 | 163 | 20.43 |