We prove that if the multipliers of the repelling periodic orbits of a complex polynomial grow at least like n 5+ฮต with the period, for some ฮต > 0, then the Julia set of the polynomial is locally connected when it is connected. As a consequence for a polynomial the presence of a Cremer cycle implies
โฆ LIBER โฆ
Periodic orbits on the regular hyperbolic octagon
โ Scribed by R Aurich; E.B Bogomolny; F Steiner
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 829 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
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