# Trajectory of the turning point is dense for a co-σ-porous set of tent maps

Karen Brucks; Zoltán Buczolich

Fundamenta Mathematicae (2000)

- Volume: 165, Issue: 2, page 95-123
- ISSN: 0016-2736

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topBrucks, Karen, and Buczolich, Zoltán. "Trajectory of the turning point is dense for a co-σ-porous set of tent maps." Fundamenta Mathematicae 165.2 (2000): 95-123. <http://eudml.org/doc/212465>.

@article{Brucks2000,

abstract = {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.},

author = {Brucks, Karen, Buczolich, Zoltán},

journal = {Fundamenta Mathematicae},

keywords = {tent map; dense trajectory; -porous},

language = {eng},

number = {2},

pages = {95-123},

title = {Trajectory of the turning point is dense for a co-σ-porous set of tent maps},

url = {http://eudml.org/doc/212465},

volume = {165},

year = {2000},

}

TY - JOUR

AU - Brucks, Karen

AU - Buczolich, Zoltán

TI - Trajectory of the turning point is dense for a co-σ-porous set of tent maps

JO - Fundamenta Mathematicae

PY - 2000

VL - 165

IS - 2

SP - 95

EP - 123

AB - 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.

LA - eng

KW - tent map; dense trajectory; -porous

UR - http://eudml.org/doc/212465

ER -

## References

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