colored-arnoux-rauzy-sequences


Namecolored-arnoux-rauzy-sequences JSON
Version 0.1.1 PyPI version JSON
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home_pagehttps://gitub.u-bordeaux.fr/jlepsova/colored_arnoux_rauzy_sequences
SummaryColored Arnoux-Rauzy sequences and their asymptotic critical exponent
upload_time2023-02-10 15:33:22
maintainer
docs_urlNone
authorJana Lepsova
requires_python
licenseGPLv2+
keywords sagemath arnoux-rauzy words critical exponent
VCS
bugtrack_url
requirements No requirements were recorded.
Travis-CI No Travis.
coveralls test coverage No coveralls.
            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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