Laura Cladek, UCLA

Abstract: We obtain new bounds on the additive energy of (Ahlfors-David type) regular measures in both one and higher dimensions, which implies expansion results for sums and products of the associated regular sets, as well as more general nonlinear functions of these sets. As a corollary of the higher-dimensional results we obtain some new cases of the fractal uncertainty principle in odd dimensions. This is joint work with Terence Tao.

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Zoom Meeting: https://ucla.zoom.us/j/94664076456?pwd=cmxmcXQwSmMzSlRIUkMzUXE0RWlWQT09

Meeting ID: 946 6407 6456
Passcode: UCLA

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