Matching in a family of piecewise affine maps
Dynamical Systems
2017-07-25 v1
Abstract
We consider a class of simple one parameter families of interval maps, and we study how metric (resp. topological) entropy changes as the parameter varies. We show that in many cases the entropy displays a semi-regular behaviour, i.e. it is smooth on an open and dense set. This feature is due to a combinatorial property called matching
Keywords
Cite
@article{arxiv.1707.07488,
title = {Matching in a family of piecewise affine maps},
author = {Henk Bruin and Carlo Carminati and Stefano Marmi and Alessandro Profeti},
journal= {arXiv preprint arXiv:1707.07488},
year = {2017}
}
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