Wilhelm Schlag: On the Bourgain-Dyatlov fractal uncertainty principle

Tid: To 2019-03-14 kl 15.30 - 16.30

Föreläsare: Wilhelm Schlag, Yale University

Plats: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Abstract: I will discuss uncertainty principles, including the Bourgain-Dyatlov breakthrough result from late 2016. Using harmonic analysis of the type which arises in the Beurling-Malliavin theorem, they showed (in a quantitative way) that a function on the line cannot be supported on fractal sets both in the physical and Fourier variables.

The higher-dimensional version of this theorem remains open. I will describe some partial progress by Rui Han and myself.

Tillhör: Institutionen för matematik
Senast ändrad: 2019-03-08