Singular Limits of Absolutely Continuous Invariant Measures for Families of Transitive Maps
نویسنده
چکیده
We investigate the dependence on the parameters of absolutely continuous invariant measures for a family of piecewise linear piecewise expanding maps. We construct an example to show that the transitivity of the maps does not imply the convergence of those measures to the absolutely continuous invariant measure for the limit map.
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تاریخ انتشار 2011