Decay of geometry for unimodal maps: an elementary proof

• Autores: Weixiao Shen
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 163, Nº 2, 2006, págs. 383-404
• Idioma: inglés
• DOI: 10.4007/annals.2006.163.383
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• Resumen

  • We prove that a nonrenormalizable smooth unimodal interval map with critical order between 1 and 2 displays decay of geometry, by an elementary and purely ¿real¿ argument. This completes a ¿real¿ approach to Milnor¿s attractor problem for smooth unimodal maps with critical order not greater than 2.