Institute for Mathematical Sciences

Preprint ims10-02

P. E. Hazard, M. Lyubich, M. Martens
Renormalisable Henon-like Maps and Unbounded Geometry

Abstract: We show that given a one parameter family Fb of strongly dissipative infinitely renormalisable Henon-like maps, parametrised by a quantity called the 'average Jacobian' b, the set of all parameters b such that Fb has a Cantor set with unbounded geometry has full Lebesgue measure.
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