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.
core entropyextended Newton graphcritical markingpolynomialNewton map
Yan Gao
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Department of Mathematics,Shenzhen University,Shenzhen 518060,China
National Natural Science Foundation of ChinaNational Natural Science Foundation of China
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维普
