arXiv:1906.01523 Abstract | arXiv Analytics

arXiv:1906.01523 [math.DS]Abstract References Reviews Resources

On the core entropy of Newton maps

Published 2019-06-04Version 1

In this paper, we define the core entropy for postcritically-finite Newton maps and study its continuity within this family. We show that the entropy function is not continuous in this family, which is different from the polynomial case studied by Thurston, Gao, Dudko- Schleicher, Tiozzo [Th+, GT, DS, Ti2], and describe completely the continuity of the entropy function at generic parameters.

Comments: 58 page, 8 figures

Categories: math.DS

Keywords: core entropy, entropy function, postcritically-finite newton maps, generic parameters, polynomial case

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arXiv:1906.01523 [math.DS]Abstract References Reviews Resources

On the core entropy of Newton maps

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arXiv:1906.01523 [math.DS]AbstractReferencesReviewsResources

On the core entropy of Newton maps

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arXiv:1906.01523 [math.DS]Abstract References Reviews Resources