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Sturmian words, β-shifts, and transcendence

Sturmian words, \(\beta\)-shifts, and transcendence
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2004Embargo end date: 01 Jan 2003 English Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 321, pages 395-404 (issn: 0304-3975, Copyright policy )
Authors: Dong Pyo Chi; DoYong Kwon;

doi: 10.1016/j.tcs.2004.03.035 , 10.48550/arxiv.math/0308140

arXiv: math/0308140

Sturmian words, β-shifts, and transcendence

Abstract

Consider the minimal $β$-shift containing the shift space generated by given Sturmian word. In this paper we characterize such $β$ and investigate its combinatorial, dynamical and topological properties and prove that such $β$ are transcendental numbers.

21 pages, Latex

Related Organizations
Keywords

Automata sequences, 11J91, 37B10, Combinatorics on words, Mathematics - Number Theory, 68R15; 11J91; 37B10, Transcendence (general theory), Sturmian word, Symbolic dynamics, 68R15, Dynamical Systems (math.DS), \(\beta\)-shift, Theoretical Computer Science, Self-Sturmian number, β-shift, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), Mathematics - Dynamical Systems, Computer Science(all)

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
Green
hybrid