Existence of potentials for non-traditional cost functions

Abstract: In this talk, we present a constructive method for finding solutions to Monge's problem of mass-transport between two measures with respect to the polar cost. Our costruction, generalizing an idea of Keith Ball, utilizes a new notion of 'Hall polytopes', which we introduce. Our method applies to non-traditional transport problems, i.e. those with costs which can attain the value infinity, as well as the classical case. Based on joint work with Shiri Artstein-Avidan and Kasia Wyczesany.

* Part 1 was last week’s talk by Kasia Wyczesany. Like all talks, a recording is available on the seminar’s homepage at: people.math.gatech.edu/~glivshyts6/AGAonline.html

analysis of PDEsmetric geometryprobability

Audience: researchers in the topic

Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

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