Mathematics – Dynamical Systems
Scientific paper
2010-08-04
Mathematics
Dynamical Systems
15 pages
Scientific paper
A well-known result of Bill Parry shows that a topologically transitive continuous piecewise monotone mapping with positive topological entropy is conjugate to a uniformly piecewise linear mapping with slope determined by the entropy. In this note we generalise Parry's result somewhat to what we call the class of essentially transitive mappings. This generalisation is of some interest in as much as for mappings with one turning point the converse also holds, i.e., a uniformly piecewise linear mapping with one turning point and with slope greater than 1 is essentially transitive.
Preston Chris
No associations
LandOfFree
A Note on a Theorem of Parry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Note on a Theorem of Parry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on a Theorem of Parry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-83137