On piecewise affine interval maps with countably many laps
Pages: 753  762,
Issue 3,
November
2011
doi:10.3934/dcds.2011.31.753 Abstract
References
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Jozef Bobok  KM FSv ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic (email)
Martin Soukenka  KM FSv ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic (email)
1 
J. Bobok and M. Soukenka, Irreducibility, infinite level sets and small entropy, to appear in Real Analysis Exchange, 36 (2011). 

2 
E. M. Coven and M. C. Hidalgo, On the topological entropy of transitive maps of the interval, Bull. Aust. Math. Soc., 44 (1991), 207213. 

3 
A. Katok and B. Hasselblatt, "Introduction to the Modern Theory of Dynamical Systems," Encyclopedia of Mathematics and its Applications, 54, Cambridge University Press, Cambridge, 1995. 

4 
M. Misiurewicz, Horseshoes for mappings of an interval, Bull. Acad. Pol. Sci., Sér. Sci. Math., 27 (1979), 167169. 

5 
M. Misiurewicz and P. Raith, Strict inequalities for the entropy of transitive piecewise monotone maps, Discrete and Continuous Dynamical Systems, 13 (2005), 451468. 

6 
J. Milnor and W. Thurston, On iterated maps of the interval, in "Dynamical Systems" (College Park, MD, 19861987), Lecture Notes in Math., 1342, Springer, Berlin, (1988), 465563. 

7 
W. Parry, Symbolic dynamics and transformations of the unit interval, Trans. Amer. Math. Soc., 122 (1966), 368378. 

8 
P. Walters, "An Introduction to Ergodic Theory," Graduate Texts in Mathematics, 79, SpringerVerlag, New YorkBerlin, 1982. 

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