Colored Arnoux-Rauzy sequences and their asymptotic critical exponent
Project description
This package was created to demonstrate results in the paper of Lubomira Dvorakova and Jana Lepsova with the name Critical exponent of Arnoux-Rauzy sequences.
The algorithm computes the asymptotical critical exponent of regular d-ary Arnoux-Rauzy sequence for any dimension d.
In the examples we compute the asymptotical critical exponent (ACE) of the Tribonacci word (d = 3). ==================
EXAMPLES:
sage: from colored_arnoux_rauzy_sequences.ARsequence import ArnouxRauzySubstitutiveSequence sage: word = ArnouxRauzySubstitutiveSequence(3,[],[1]) sage: ACE = word.asymptotic_critical_exponent() sage: ACE 1/2*Lambda^2 + 3/2 sage: ACE.n() 3.19148788395312
colored_arnoux_rauzy_sequences package
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