Polynomials with core entropy zero
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911182660567040 |
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| author | Luo, Yusheng Park, Insung |
| author_facet | Luo, Yusheng Park, Insung |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_13704 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Polynomials with core entropy zero Luo, Yusheng Park, Insung Dynamical Systems 37F05, 37B40, 37A35, 37F10, 37F34 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. |
| title | Polynomials with core entropy zero |
| topic | Dynamical Systems 37F05, 37B40, 37A35, 37F10, 37F34 |
| url | https://arxiv.org/abs/2205.13704 |