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

• Autorzy: Karen Brucks , Zoltán Buczolich
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions
• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2000
• Tom: 165
• Numer: 2
• Strony: 95-123

Daty

wydano

2000

otrzymano

1998-07-10

Twórcy

autor

Karen Brucks

• Department of Mathematical Sciences, University of Wisconsin at Milwaukee, Milwaukee, WI 53201, U.S.A.

autor

Zoltán Buczolich

• Department of Analysis, Eötvös Loránd University, Múzeum krt. 6-8, H-1088 Budapest, Hungary

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