Resumen de Decay of geometry for unimodal maps: an elementary proof

Weixiao Shen

• 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.