Submitted by math_admin on Fri, 03/06/2020 - 06:00
preprint-id:
preprint-title:
Renormalisable Henon-like Maps and Unbounded Geometry
preprint-abstract:
We show that given a one parameter family $F_b$ of strongly dissipative infinitely renormalisable Hénon-like maps, parametrised by a quantity called the 'average Jacobian' b, the set of all parameters b such that $F_b$ has a Cantor set with unbounded geometry has full Lebesgue measure.
preprint-year:
2010