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SUMMARY:Fractal uncertainty principle in the volume bound regime - Zhongka
 i Tao (IHES)
DTSTART:20260113T114500Z
DTEND:20260113T124500Z
UID:TALK238162@talks.cam.ac.uk
DESCRIPTION:I will talk about the fractal uncertainty principle in the reg
 ime of the volume bound. The interest in such estimates comes from potenti
 al applications to spectral gaps in dynamical systems at high frequencies.
  I will explain the proof in the Ahlfors--David regular case\, which was d
 one by Dyatlov and Jin in dimension one\, and by Backus\, Leng\, and mysel
 f in higher dimensions under a non-orthogonality condition. I will also ex
 plain the relationship of this estimate with recent Fourier decay estimate
 s.\nThis talk is based on joint work with Aidan Backus and James Leng.
LOCATION:Seminar Room 1\, Newton Institute
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