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Gromov Hausdorff Convergence on Doubling Measured Metric Spaces supporting a Poincaré Type Equality

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Marcos Lopez

What
  • Analysis Seminar
When Fri, Nov 15, 2013
from 03:10 PM to 04:00 PM
Where Ritter Hall 237
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 In this talk, we will provide a background on Gromov Hausdorff convergence including its measured version. Then we will consider metric spaces with doubling measures that support a Poincaré type inequality, which form an essential class of metric spaces in the study of Sobolev spaces, and present some important results due to Cheeger and Koskela. We will then present a method to approximate such a space, via maximal epsilon nets,while ensuring the persistence of a doubling measure and Poincaré equality. This is due to joint work with James Gill.

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