A new Theorem on Hausdorff content of Limsupsets

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Sylvester Eriksson-Bique, University of Oulu

Online Talk

Zoom linkhttps://princeton.zoom.us/j/594605776

I will discuss a recent Theorem on Hausdorff content that I have been working on. It is somewhat surprising that this lemma gives a new proof of the de Giorgi characterization of finite perimeter sets, but is also strong enough to deduce the mass transference principle. The work is ongoing, but I will present the new estimate on Hausdorff content, some of the tools and some of the applications I have and will apply this estimate to.