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SUMMARY:Shintaro Suzuki (Tokyo Gakugei University)
DTSTART:20260310T130000Z
DTEND:20260310T140000Z
DTSTAMP:20260423T021342Z
UID:OWNS/163
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/163/">H
 ausdorff dimension of digit frequency sets for beta-expansions and a gener
 alization of the Hata-Yamaguchi formula</a>\nby Shintaro Suzuki (Tokyo Gak
 ugei University) as part of One World Numeration seminar\n\n\nAbstract\nWe
  consider the digit frequency set of the digit 1 for beta-expansions in th
 e case of $1<\\beta\\leq2$ and give an exact formula for its Hausdorff dim
 ension via transfer operator method. As a related topic\,\nwe introduce a 
 generalization of the Lebesgue singular function and show that \nit satisf
 ies a version of the Hata-Yamaguchi formula\, which yields a Takagi-like f
 unction for beta-expansions with the base $1<\\beta<2$.\n
LOCATION:https://researchseminars.org/talk/OWNS/163/
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