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On the core entropy of Newton maps

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摘要 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,and describe completely the continuity of the entropy function at the generic parameters.
作者 Yan Gao
出处 《Science China Mathematics》 SCIE CSCD 2024年第1期77-128,共52页 中国科学(数学)(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.11871354 and 12131016)。
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  • 1CUI GuiZhen 1, & TAN Lei 2 1 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China,2 Laboratoire de Mathmatiques, UMR du CNRS 6093, Universit d’Angers, 2 bd. Lavoisier, 49045 Angers cedex 01, France.Distortion control of conjugacies between quadratic polynomials[J].Science China Mathematics,2010,53(3):625-634. 被引量:3
  • 2A. F. Beardon,F. W. Gehring. Schwarzian derivatives, the Poincaré metric and the kernel function[J] 1980,Commentarii Mathematici Helvetici(1):50~64

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