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

Ergodic Theory and Dynamical Systems

Volumn 16, Issue 6, 1996, Pages 1173-1183

  Brucks, Karen ^a   Misiurewicz, Michal ^b  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030351944     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700009962     Document Type: Article

References (10)

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3. P. Collet and J.-P. Eckmann. Iterated maps on the interval as dynamical systems. Progress in Phys. 1. Birkhäuser, Boston, 1980.
4. E. M. Coven, I. Kan and J. A. Yorke. Pseudo-orbit shadowing in the family of tent maps. Trans. Amer. Math. Soc. 308 (1988), 227-241.
5. M. Denker, C. Grillenberger and K. Sigmund. Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics 527). Springer, Berlin, 1976.
6. M. V. Jakobson. Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. Commun. Math. Phys. 81 (1981), 39-88.
7. A. Lasota and J. A. Yorke. On the existence of invariant measures for piecewise montonic transformations. Trans. Amer. Math. Soc. 186 (1973), 481-488.
8. M. Misiurewicz and W. Szlenk. Entropy of piecewise monotone mappings. Studia Math. 67 (1980), 45-63.
9. M. Misiurewicz and E. Visinescu. Kneading sequences of skew tent maps. Ann. Inst. H. Poincaré Probab. Stat. 27 (1991), 125-140.
10. S. van Strien. Smooth dynamics on the interval. New Directions in Dynamical Systems (London Math. Soc. Lecture Note Ser. 127). Cambridge University Press, 1988. pp. 57-119.