It is well-known that many transitive continuous self-maps have a dense orbit. On the other hand several
interesting transitive dynamical systems present some kind of discontinuity. Motivated by a result of A. Peris, we
investigate under which conditions a discontinuous transitive map has a dense orbit.
@article{1148059460,
author = {Fedeli, Alessandro},
title = {On discontinuous transitive maps and dense orbits},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {12},
number = {5},
year = {2006},
pages = { 241-245},
language = {en},
url = {http://dml.mathdoc.fr/item/1148059460}
}
Fedeli, Alessandro. On discontinuous transitive maps and dense orbits. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp. 241-245. http://gdmltest.u-ga.fr/item/1148059460/