arXiv:1707.07488 Abstract | arXiv Analytics

arXiv:1707.07488 [math.DS]Abstract References Reviews Resources

Matching in a family of piecewise affine maps

Henk Bruin, Carlo Carminati, Stefano Marmi, Alessandro Profeti

Published 2017-07-24Version 1

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

Comments: Comments are welcome

Categories: math.DS

Subjects: 37E05, 37E10

Keywords: piecewise affine maps, entropy changes, combinatorial property, dense set, parameter families

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