Submitted by ims_edit on Wed, 08/02/2023 - 16:03
preprint-id:
ims22-06
preprint-title:
Polynomials with core entropy zero
preprint-abstract:
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. The characterizations define several quantities which measure the complexities of polynomials with core entropy zero. We show that these measures are all comparable.
preprint-year:
2022