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SUMMARY:Han Yu (University of Cambridge)
DTSTART:20210412T161500Z
DTEND:20210412T173000Z
DTSTAMP:20260423T021753Z
UID:NEDNT/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/21/">R
 ational numbers near self-similar sets</a>\nby Han Yu (University of Cambr
 idge) as part of New England Dynamics and Number Theory Seminar\n\nLecture
  held in Online.\n\nAbstract\nWe will discuss a problem on counting ration
 al numbers near\nself-similar sets. In particular\, we will show that the 
 set of rational\nnumbers is ‘reasonably well distributed’ around the m
 iddle $p$-th Cantor\nset when $p$ is a large integer. Our approach is via 
 Fourier analysis\nand we will also discuss some problems on Fourier transf
 orm of\nself-similar measures which are of independent interest. As a resu
 lt\, it\nis possible to show that $p=5$ satisfies the previous statement. 
 The\nmaterials come from various working-in-progress projects with D. Alle
 n\,\nS. Chow and P. Varju.\n
LOCATION:https://researchseminars.org/talk/NEDNT/21/
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