Collet-Eckmann condition for recurrent critical orbits implies uniform hyperbolicity on periodic orbits

• Autores: Nicolae Mihalache
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 4, 2007, págs. 1267-1286
• Idioma: inglés
• DOI: 10.1017/s0143385706000873
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• Resumen

  • We prove that the Collet¿Eckmann condition for recurrent critical orbits inside the Julia set of a rational map with no parabolic periodic orbits implies uniform hyperbolicity on periodic orbits.