Abstract
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.
Citation
Alessandro Fedeli. "On discontinuous transitive maps and dense orbits." Bull. Belg. Math. Soc. Simon Stevin 13 (2) 241 - 245, June 2006. https://doi.org/10.36045/bbms/1148059460
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