On the topological conjugacy problem for interval maps
Chaotic Dynamics
2014-11-13 v1 Statistical Mechanics
Dynamical Systems
Abstract
We propose an inverse approach for dealing with interval maps based on the manner whereby their branches are related (folding property), instead of addressing the map equations as a whole. As a main result, we provide a symmetry-breaking framework for determining topological conjugacy of interval maps, a well-known open problem in ergodic theory. Implications thereof for the spectrum and eigenfunctions of the Perron-Frobenius operator are also discussed.
Cite
@article{arxiv.1411.3066,
title = {On the topological conjugacy problem for interval maps},
author = {Roberto Venegeroles},
journal= {arXiv preprint arXiv:1411.3066},
year = {2014}
}
Comments
5 pages, 1 figure