An example of a genuinely discontinuous generically chaotic transformation of the interval
Annales Polonici Mathematici, Tome 63 (1996) no. 2, pp. 167-172
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_ap_63_2_167_172,
author = {J\'ozef Pi\'orek},
title = {An example of a genuinely discontinuous generically chaotic transformation of the interval},
journal = {Annales Polonici Mathematici},
pages = {167--172},
year = {1996},
volume = {63},
number = {2},
doi = {10.4064/ap-63-2-167-172},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-63-2-167-172/}
}
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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
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