On the Bourgain-Dyatlov fractal uncertainty principle

Spectral Methods in Mathematical Physics

14 March 15:30 - 16:30

Wilhelm Schlag - Yale University

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.
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich


Rupert Frank


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