Trajectory of the turning point is dense for a co-σ-porous set of tent maps
Fundamenta Mathematicae, Tome 165 (2000) no. 2, pp. 95-123
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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 $T_a$ with slope a is dense in the interval of transitivity of $T_a$. We prove that the complement of this set of parameters of full measure is σ-porous.
@article{10_4064_fm_165_2_95_123,
author = {Karen Brucks and Zolt\'an Buczolich},
title = {Trajectory of the turning point is dense for a co-\ensuremath{\sigma}-porous set of tent maps},
journal = {Fundamenta Mathematicae},
pages = {95--123},
year = {2000},
volume = {165},
number = {2},
doi = {10.4064/fm-165-2-95-123},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-165-2-95-123/}
}
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Karen Brucks; Zoltán Buczolich. Trajectory of the turning point is dense for a co-σ-porous set of tent maps. Fundamenta Mathematicae, Tome 165 (2000) no. 2, pp. 95-123. doi: 10.4064/fm-165-2-95-123
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