It is known that for almost every (with respect to Lebesgue measure) a ∈ [√2,2] the forward trajectory of the turning point of the tent map with slope a is dense in the interval of transitivity of . We prove that the complement of this set of parameters of full measure is σ-porous.
@article{bwmeta1.element.bwnjournal-article-fmv165i2p95bwm,
author = {Karen Brucks and Zolt\'an Buczolich},
title = {Trajectory of the turning point is dense for a co-$\sigma$-porous set of tent maps},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {95-123},
zbl = {0966.37012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv165i2p95bwm}
}
Brucks, Karen; Buczolich, Zoltán. Trajectory of the turning point is dense for a co-σ-porous set of tent maps. Fundamenta Mathematicae, Tome 163 (2000) pp. 95-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv165i2p95bwm/
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