Three distance theorems and Sturmian sequences: length governing words (Q2717596)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Three distance theorems and Sturmian sequences: length governing words |
scientific article; zbMATH DE number 1605194
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three distance theorems and Sturmian sequences: length governing words |
scientific article; zbMATH DE number 1605194 |
Statements
17 June 2001
0 references
Sturmian sequences
0 references
three distance theorem
0 references
continued fractions
0 references
morphisms of the free monoid
0 references
balanced words
0 references
0.9078766
0 references
0 references
0 references
0.8463105
0 references
0.84461635
0 references
0.84435534
0 references
0.84414667
0 references
0.8393441
0 references
0.83562464
0 references
Three distance theorems and Sturmian sequences: length governing words (English)
0 references
The author is interested in the three distance theorem [see \textit{V. Sós}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 1, 129-134 (1958; Zbl 0094.02903) (this important reference is missing in the bibliography)] and \textit{S. Świerczkowski} [Fundam. Math. 46, 187-189 (1959; Zbl 0085.27203)] in the case where there are only two distinct distances. She obtains nice results connected to continued fractions, morphisms of the free monoid and balanced words.
0 references
