An example of a genuinely discontinuous generically chaotic transformation of the interval
Volume 63 / 1996
Annales Polonici Mathematici 63 (1996), 167-172
DOI: 10.4064/ap-63-2-167-172
Abstract
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.
