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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… Click to show full 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:
matching family;
piecewise affine;
family piecewise;
affine maps
Journal Title: Nonlinearity
Year Published: 2018
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Journal Title: Nonlinearity
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!