On the core entropy of Newton maps

On the core entropy of Newton maps

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...

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Veröffentlicht in:Science China. Mathematics 2024, Vol.67 (1), p.77-128
1. Verfasser: Gao, Yan
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Continuity (mathematics)
Entropy
Mathematics
Mathematics and Statistics
Polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-021-2010-1