Metric attractors for smooth unimodal maps

Abstract

We classify the measure theoretic attractors of general $C^3$ unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.

Authors

Jacek Graczyk

Département de Mathématiques
University of Paris XI
91405 Orsay
France

Duncan Sands

Département de Mathématiques
University of Paris XI
91405 Orsay
France

Grzegorz Świątek

Mathematics Department
Pennsylvania State University
University Park
State College, PA 16802
United States