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.

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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 Ta with slope a is dense in the interval of transitivity of Ta. We prove that the complement of this set of parameters of full measure is σ-porous.
DOI : 10.4064/fm-165-2-95-123

Karen Brucks 1 ; Zoltán Buczolich 1

1
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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. https://geodesic-test.mathdoc.fr/articles/10.4064/fm-165-2-95-123/

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