... Graczyk, D. Sands, and G.´Swia¸tek, Decay of geometry for unimodal maps: NegativeSchwarzian case, Ann. of Math. 161 (2005), 613–677.[4]———, Metric attractors for smooth unimodal maps, Ann. ... 2002)(Revised August 10, 2004)Annals of Mathematics, 163 (2006), 383–404Decay of geometry for unimodal maps:An elementary proofBy Weixiao ShenAbstractWe prove that a nonrenormalizable smooth unimodal ... interval map with critical order between 1 and 2 displays decay of geometry, by an elementaryand purely “real” argument. This completes a “real” approach to Milnor’sattractor problem for smooth...