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On the core entropy of Newton maps

Authors
  • Gao, Yan
Publication Date
May 30, 2019
Source
HAL-SHS
Keywords
Language
English
License
Unknown
External links

Abstract

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.

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