Mathematics – Dynamical Systems
Scientific paper
2010-02-22
Mathematics
Dynamical Systems
29 pages, 2 figures
Scientific paper
We show that given a one parameter family $F_b$ of strongly dissipative
infinitely renormalisable H\'enon-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.
Hazard Peter
Lyubich Mikhail
Martens Marco
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