Geodesic
Uniformly recurrent sequences and minimal Cantor omega-limit sets
Lori Alvin1
1 Department of Mathematics Bradley University 1501 W. Bradley Ave. Peoria, IL 61625, U.S.A.
Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 273-284 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate the structure of kneading sequences that belong to unimodal maps for which the omega-limit set of the turning point is a minimal Cantor set. We define a scheme that can be used to generate uniformly recurrent and regularly recurrent infinite sequences over a finite alphabet. It is then shown that if the kneading sequence of a unimodal map can be generated from one of these schemes, then the omega-limit set of the turning point must be a minimal Cantor set.
DOI : 10.4064/fm231-3-3
Keywords: investigate structure kneading sequences belong unimodal maps which omega limit set turning point minimal cantor set define scheme generate uniformly recurrent regularly recurrent infinite sequences finite alphabet shown kneading sequence unimodal map generated these schemes omega limit set turning point minimal cantor set

Lori Alvin 1

1 Department of Mathematics Bradley University 1501 W. Bradley Ave. Peoria, IL 61625, U.S.A. 
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 minimal {Cantor} omega-limit sets},
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 minimal Cantor omega-limit sets
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 minimal Cantor omega-limit sets
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Lori Alvin. Uniformly recurrent sequences and
 minimal Cantor omega-limit sets. Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 273-284. doi: 10.4064/fm231-3-3

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