Geodesic
An example of a genuinely discontinuous generically chaotic transformation of the interval
Annales Polonici Mathematici, Tome 63 (1996) no. 2, pp. 167-172.

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It is proved that a piecewise monotone transformation of the unit interval (with a countable number of pieces) is generically chaotic. The Gauss map arising in connection with the continued fraction expansions of the reals is an example of such a transformation.
DOI : 10.4064/ap-63-2-167-172
Keywords: generic chaos

Józef Piórek 1

1 
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Józef Piórek. An example of a genuinely discontinuous generically chaotic transformation of the interval. Annales Polonici Mathematici, Tome 63 (1996) no. 2, pp. 167-172. doi : 10.4064/ap-63-2-167-172. http://geodesic.mathdoc.fr/articles/10.4064/ap-63-2-167-172/

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