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Determining the regularity of a measure via the Wasserstein distance

Introductory Workshop on Optimal Transport: Geometry and Dynamics August 26, 2013 - August 30, 2013

August 26, 2013 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Tatiana Toro (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath))
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


Abstract In this talk we will discuss several results with a common theme:" the regularity of a measure is determined by the extent to which the measure can be is approximated by flat measures". This notion of approximation involves the Wasserstein distance, and to some extent is reminiscent of other approximation coefficients which appear in the Geometric Measure Theory literature. These work is joint with J. Azzam and G. David
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