SPEAKER: Lisa Naples (Macalester College)
TITLE: Radon measures and lipschitz graphs
ABSTRACT: In geometric measure theory there is interest in understanding measures by studying interactions with particular collections of sets. Here, we will discuss a recent characterization of Radon measures on R^n which are carried by the collection of m-Lipschitz graphs. That is, we will provide necessary and sufficient conditions for a Radon measure under which there exist countably many Lipschitz graphs that capture almost all of the mass. Our characterization will involve only countably many evaluations of the measure. This is joint work with Matthew Badger.
Wednesday, November 3 at 2:15pm to 3:15pm
Ayres Hall, 112
1403 Circle Drive, Knoxville, TN 37996