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Abstract: We discuss the stable ergodicity of volume measure for dynamical systems that exhibit certain Hyperbolic behavior. Our aim is to introduce a local and stable mechanism/phenomenon, called quasi-conformal blender, as a source for ergodicity. We will see how this method applies for the action of groups of diffeomorphisms on smooth manifolds, as well as, for certain partially hyperbolic diffeomorphisms. This talk is based on several joint works with A. Fakhari, H. Rajabzadeh, and A. Tahzibi.
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