Salle 5, Site Marcelin Berthelot
Open to all
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Abstract

Fractal uncertainty principle states that if a function is Fourier localized to a fractal set, then only a very small part of its mass can live on another fractal set. In this talk I will state the fractal uncertainty principle and discuss two proofs: a simpler one in the case of arithmetic Cantor sets (joint work with Long Jin) and a more complicated one for general fractal subsets of the real line (joint work with Jean Bourgain).

Speaker(s)

Semyon Dyatlov

Massachusetts Institute of Technology