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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin at Milwaukee, Milwaukee, WI 53201, U.S.A.
  2. Department of Analysis, Eötvös Loránd University, Múzeum krt. 6-8, H-1088 Budapest, Hungary

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 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.

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Fundamenta Mathematicae
2000/165/2
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Pages:
95-123
Main language of publication
English
Received
1998-07-10
Published
2000
Exact and natural sciences