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POLYNOMIALS WITH CORE ENTROPY ZERO
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DOI：10.3934/jmd.2026002.png)
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Abstract
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This paper studies polynomials with core entropy zero. We give several characterizations of polynomials with core entropy zero. In particular, we show that a degree d post-critically finite polynomial f has core entropy zero if and only if f is in the degree d main molecule mod. The characterizations define several comparable quantities which measure the complexities of polynomials with core entropy zero and allow us to have a better understanding of the structure of the main molecule in higher degrees.
Keywords:
Complex dynamics
core entropy
main molecule
Journal
J
IF:
1
Papers:
7
Citations:
324
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