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ERC Workshop on Optimal Transportation and Applications

Localization of Mass Transport and Uniform Rectifiability

speaker: Xavier Tolsa (ICREA / Universitat Autònoma de Barcelona)

abstract: We will discuss a recent result which assert that if \(\mu\) and \(\nu\) are two suitable probability measures in the Euclidean space and \(\phi\) is a good enough bump function, then \( W_2(\phi\mu,\phi\nu) \leq c W_2(\mu,\nu) \). We will describe the application of this result to the so called uniform rectifiability. Some connections of mass transport with singular integrals and rectifiabiity will be also reviewed, if time permits.


timetable:
Wed 7 Nov, 9:00 - 9:50, Aula Dini
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