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Mariusz Urbanski

University of North Texas



How the numerical value of Hausdorff measure depends on parameter in the context of conformal hyperbolic dynamics



September 25, 2013
3:00pm    PGH 646



Abstract
 

The values of Hausdorff measure detects the very fine geometric structure of subsets of differentiable manifolds. Hausdorff measure and Hausdorff dimension behave particularly well in the context of conformal dynamics. In this talk the continuity properties of Hausdorff measure as a function of closed invariant subsets of conformal dynamical systems will be discussed.








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