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Geometry of uniform measures

Dali Nimer, University of Washington
Thursday, May 18, 2017 - 2:30pm to 3:30pm
PDL C-401
Abstract: A measure m in   \(R^d\) is called n-uniform if the measure of a ball of radius r centered at point x of its support is given by crn for some fixed constant c.
In this talk, I will discuss the context in which such measures appear and present some results on their geometry including a description of their singular sets and a family of new examples of uniform measures.
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