Renormalisable Henon-like Maps and Unbounded Geometry
arXiv:1002.3942
Abstract
We show that given a one parameter family of strongly dissipative infinitely renormalisable Hénon-like maps, parametrised by a quantity called the `average Jacobian' , the set of all parameters such that has a Cantor set with unbounded geometry has full Lebesgue measure.
29 pages, 2 figures