Characterizations of periods of multidimensional shifts
Identifieur interne : 001282 ( Main/Exploration ); précédent : 001281; suivant : 001283Characterizations of periods of multidimensional shifts
Auteurs : Emmanuel Jeandel [France] ; Pascal Vanier [France]Source :
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Abstract
We show that the sets of periods of multidimensional shifts of finite type (SFTs) are exactly the sets of integers of the complexity class $\NE$. We also show that the functions counting their number are the functions of $\#\E$. We also give characterizations of some other notions of periodicity. We finish the paper by giving some characterizations for sofic and effective subshifts.
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We also show that the functions counting their number are the functions of $\#\E$. We also give characterizations of some other notions of periodicity. We finish the paper by giving some characterizations for sofic and effective subshifts.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Jeandel, Emmanuel" sort="Jeandel, Emmanuel" uniqKey="Jeandel E" first="Emmanuel" last="Jeandel">Emmanuel Jeandel</name></region><name sortKey="Vanier, Pascal" sort="Vanier, Pascal" uniqKey="Vanier P" first="Pascal" last="Vanier">Pascal Vanier</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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