Author:
Alsedà Lluís,Kolyada Sergiĭ F.,Snoha Ľubomír
Abstract
We study the topological entropy of triangular maps of the square. We show that such maps differ from the continuous maps of the interval because there exist triangular maps of the square of “type 2∞” with infinite topological entropy. The set of such maps is dense in the space of triangular maps of “type at most 2∞” and the topological entropy as a function of the triangular maps of the square is not lower semicontinuous. However, we show that for these maps the characterisation of the lower bounds of the topological entropy depending on the set of periods is the same as for the continuous maps of the interval.
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. Dynamics in One Dimension
2. Topological entropy
3. Entropy for group endomorphisms and homogeneous spaces
4. Une borne inferieure pour l’entropie de certaines applications de l’intervalle dans lui-même;Jonker;C.R. Acad. Set.,1978
5. The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero;Gambaudo;Ann. Inst. H. Poincaré Phys. Théor.,1989
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