English

Metric attractors for smooth unimodal maps

Dynamical Systems 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0601125,
  title  = {Metric attractors for smooth unimodal maps},
  author = {Jacek Graczyk and Duncan Sands and Grzegorz Swiatek},
  journal= {arXiv preprint arXiv:math/0601125},
  year   = {2007}
}

Comments

16 pages, published version

R2 v1 2026-07-22T17:29:35.692Z