𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Addendum to “hyperbolic periodic orbits”

✍ Scribed by D.L Rod; G Pecelli; R.C Churchill


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
165 KB
Volume
28
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Hyperbolic periodic orbits
✍ D.L Rod; G Pecelli; R.C Churchill 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 944 KB
Weak hyperbolicity on periodic orbits fo
✍ J. Rivera-Letelier 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 74 KB

We prove that if the multipliers of the repelling periodic orbits of a complex polynomial grow at least like n 5+ε with the period, for some ε > 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