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Distortion estimates for planar diffeomorphisms

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  • We define new distortion quantities for diffeomorphisms of the Euclidean plane and study their properties. In particular, we obtain composition rules for these quantities analogous to standard rules for maps of an interval. Our results apply to maps with unbounded derivatives and have important applications in the theory of SRB measures for surface diffeomorphisms.
    Mathematics Subject Classification: Primary: 37C05, 37C40; Secondary: 37D05.

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