Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
combinatorics
infinite word |
| gptkbp:alphabet |
2
|
| gptkbp:complexityFunction |
n+1
|
| gptkbp:definedIn |
irrational slope and intercept
|
| gptkbp:example |
Fibonacci word
characteristic Sturmian word |
| gptkbp:field |
gptkb:mathematics
combinatorics on words |
| gptkbp:hasApplication |
gptkb:symbolic_dynamics
number theory theoretical computer science quasicrystals |
| gptkbp:hasProperty |
non-periodic
balance property every factor appears with bounded gaps minimal complexity among aperiodic infinite words unique up to shift for given slope and intercept |
| https://www.w3.org/2000/01/rdf-schema#label |
Sturmian word
|
| gptkbp:isAperiodic |
true
|
| gptkbp:namedAfter |
gptkb:Jacques_Charles_François_Sturm
|
| gptkbp:relatedTo |
continued fractions
Fibonacci word cutting sequences irrational rotation |
| gptkbp:studiedBy |
Morse and Hedlund
|
| gptkbp:yearOfFirstStudy |
1940
|
| gptkbp:bfsParent |
gptkb:Beatty_sequence
|
| gptkbp:bfsLayer |
6
|