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arXiv · 1411.3066

On the topological conjugacy problem for interval maps

Roberto Venegeroles
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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.

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Roberto Venegeroles. 2014-11-12. On the topological conjugacy problem for interval maps. https://arxiv.org/abs/1411.3066

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