Sturmian Sequence
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5-11-2020
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Sturmian Sequence
If a sequence has the property that the block growth function
for all
, then it is said to have minimal block growth, and the sequence is called a Sturmian sequence. An example of this is the sequence arising from the substitution system
yielding
, which gives us the Sturmian sequence 01001010....
Sturm functions are sometimes also said to form a Sturmian sequence.
0
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