Uniformly recurrent sequences and minimal Cantor omega-limit sets

Lori Alvin. "Uniformly recurrent sequences and minimal Cantor omega-limit sets." Fundamenta Mathematicae 231.3 (2015): 273-284. <http://eudml.org/doc/283085>.

@article{LoriAlvin2015,
abstract = {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.},
author = {Lori Alvin},
journal = {Fundamenta Mathematicae},
keywords = {uniform recurrence; regular recurrence; unimodal maps; omegalimit sets; minimal Cantor sets},
language = {eng},
number = {3},
pages = {273-284},
title = {Uniformly recurrent sequences and minimal Cantor omega-limit sets},
url = {http://eudml.org/doc/283085},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Lori Alvin
TI - Uniformly recurrent sequences and minimal Cantor omega-limit sets
JO - Fundamenta Mathematicae
PY - 2015
VL - 231
IS - 3
SP - 273
EP - 284
AB - 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.
LA - eng
KW - uniform recurrence; regular recurrence; unimodal maps; omegalimit sets; minimal Cantor sets
UR - http://eudml.org/doc/283085
ER -