English

Invariant measures for typical quadratic maps

Dynamical Systems 2008-02-03 v2

Abstract

A sufficient geometrical condition for the existence of absolutely continuous invariant probability measures for S-unimodal maps will be discussed. The Lebesgue typical existence of such measures in the quadratic family will be a consequence.

Keywords

Cite

@article{arxiv.math/9606220,
  title  = {Invariant measures for typical quadratic maps},
  author = {Marco Martens and Tomasz Nowicki},
  journal= {arXiv preprint arXiv:math/9606220},
  year   = {2008}
}

Comments

13 pages