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SUMMARY:Vilmos Komornik (Shenzhen University and Université de Strasbourg
 )
DTSTART:20220517T123000Z
DTEND:20220517T133000Z
DTSTAMP:20260423T035816Z
UID:OWNS/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/85/">To
 pology of univoque sets in real base expansions</a>\nby Vilmos Komornik (S
 henzhen University and Université de Strasbourg) as part of One World Num
 eration seminar\n\n\nAbstract\nWe report on a recent joint paper with Mart
 ijn de Vries and Paola Loreti. Given a positive integer $M$ and a real num
 ber $1 < q\\le M+1$\, an expansion of a real number $x \\in \\left[0\,M/(q
 -1)\\right]$ over the alphabet $A=\\{0\,1\,\\ldots\,M\\}$ is a sequence $(
 c_i) \\in A^{\\mathbb{N}}$ such that $x=\\sum_{i=1}^{\\infty}c_iq^{-i}$. G
 eneralizing many earlier results\, we investigate the topological properti
 es of the set $U_q$ consisting of numbers $x$ having a unique expansion of
  this form\, and the combinatorial properties of the set $U_q'$ consisting
  of their corresponding expansions.\n
LOCATION:https://researchseminars.org/talk/OWNS/85/
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