- 02-71 J. Buzzi, O. Sester, M. Tsujii
- Weakly expanding skew-products of quadratic maps
(44K, LateX 2e)
Feb 15, 02
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Abstract. We consider quadratic skew-products over angle doubling of
the circle and prove that they admit positive Lyapunov exponents almost
everywhere and an absolutely continuous invariant probability measure.
This extends corresponding results of M. Viana and J.F. Alves for
skew-products over linear strongly expanding map of the circle.