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The trajectory of the turning point is dense for almost all tent maps

Published online by Cambridge University Press:  14 October 2010

Karen Brucks  and
Michal Misiurewicz
Karen Brucks
Affiliation:
Department of Mathematical Sciences, U-WI-Milwaukee, Milwaukee, WI 53211, USA, (e-mail: kmbrucks@csd4.cds.uwm.edu)
Michal Misiurewicz
Affiliation:
Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, Indianapolis, IN 46202, USA, (e-mail: mmisiure@indyvax.iupui.edu)
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Abstract

We prove that for almost every (with respect to the Lebesgue measure) a ∈ [√2, 2], the forward trajectory of the turning point of the tent map fa with slope a is dense in the interval of transitivity of fa.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 6 , December 1996 , pp. 1173 - 1183
Copyright
Copyright © Cambridge University Press 1996

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References

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