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SUMMARY:Derong Kong (Chongqing University)
DTSTART:20200623T123000Z
DTEND:20200623T133000Z
DTSTAMP:20260423T021437Z
UID:OWNS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/12/">Un
 ivoque bases of real numbers: local dimension\, Devil's staircase and isol
 ated points</a>\nby Derong Kong (Chongqing University) as part of One Worl
 d Numeration seminar\n\n\nAbstract\nGiven a positive integer $M$ and a rea
 l number $x$\, let $U(x)$ be the set of all bases $q \\in (1\,M+1]$ such t
 hat $x$ has a unique $q$-expansion with respect to the alphabet $\\{0\,1\,
 \\dots\,M\\}$. We will investigate the local dimension of $U(x)$ and prove
  a 'variation principle' for unique non-integer base expansions. We will a
 lso determine the critical values and the topological structure of $U(x)$.
 \n
LOCATION:https://researchseminars.org/talk/OWNS/12/
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