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Invariant measures for some one-dimensional attractors
Published online by Cambridge University Press: 19 September 2008
Abstract
We consider certain non-invertible maps of the square which are extensions of the quadratic maps of the interval and their small perturbations. We show that several maps of the type possess attractors which are not hyperbolic but have invariant measures similar to Bowen-Ruelle measures for hyperbolic attractors.
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