Weak Hyperbolicity on Periodic Orbits for Polynomials

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dc.creatorRivera-Letelier, Juan E.
dc.date2001-10-15
dc.date.accessioned2026-07-07T04:43:50Z
dc.date.available2026-07-07T04:43:50Z
dc.descriptionWe prove that if the multipliers of the repelling periodic orbits of a complex polynomial grow at least like $n^{5 + ε}$, 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 the presence of a sequence of repelling periodic orbits with "small" multipliers. Somehow surprinsingly the proof is based in measure theorical considerations.
dc.description6 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0110155
dc.identifierhttp://arxiv.org/abs/math/0110155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62396
dc.subjectDynamical Systems
dc.titleWeak Hyperbolicity on Periodic Orbits for Polynomials
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