Itineraries for Inverse Limits of Tent Maps: a Backward View
Dynamical Systems
2017-09-22 v2
Abstract
Previously published admissibility conditions for an element of to be the itinerary of a point of the inverse limit of a tent map are expressed in terms of forward orbits. We give necessary and sufficient conditions in terms of backward orbits, which is more natural for inverse limits. These backward admissibility conditions are not symmetric versions of the forward ones: in particular, the maximum backward itinerary which can be realised by a tent map mode locks on intervals of kneading sequences.
Keywords
Cite
@article{arxiv.1701.07414,
title = {Itineraries for Inverse Limits of Tent Maps: a Backward View},
author = {Philip Boyland and André de Carvalho and Toby Hall},
journal= {arXiv preprint arXiv:1701.07414},
year = {2017}
}
Comments
To appear in Topol. Appl. Author accepted manuscript. Includes some corrections - thanks to the referee