Distributional chaos on tree maps: the star case
Cánovas, Jose S.
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 583-590 / Harvested from Czech Digital Mathematics Library
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Let $\Bbb X =\{z\in \Bbb C:z^n\in [0,1]\}$, $n\in \Bbb N$, and let $f:\Bbb X \rightarrow \Bbb X$ be a continuous map having the branching point fixed. We prove that $f$ is distributionally chaotic iff the topological entropy of $f$ is positive.

Publié le : 2001-01-01
Classification:  37B40,  37D45,  37E25,  54H20 
@article{119273,
     author = {Jose S. C\'anovas},
     title = {Distributional chaos on tree maps: the star case},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {583-590},
     zbl = {1052.37032},
     mrnumber = {1860247},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119273}
}

Cánovas, Jose S. Distributional chaos on tree maps: the star case. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 583-590. http://gdmltest.u-ga.fr/item/119273/

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