A simple approach to rigorous approximation of invariant measures. Vademecum for the talk, Second Meeting of the Young Italian Hyperbolicians
نویسندگان
چکیده
We decribe a general result on the approximation of fixed points of operators between Banach spaces allowing an explicit estimation of the error. This result is particularly suited for the approximation of invariant measures in dynamical systems and in particular by the Ulam method. We apply this result to implement an algorithm for the rigorous computation of invariant densities of piecewise expanding maps up to some error in the L distance.
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