colored-arnoux-rauzy-sequences 0.1.1

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