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SUMMARY:Hajime Kaneko (University of Tsukuba)
DTSTART:20200707T123000Z
DTEND:20200707T133000Z
DTSTAMP:20260423T053134Z
UID:OWNS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/10/">An
 alogy of Lagrange spectrum related to geometric progressions</a>\nby Hajim
 e Kaneko (University of Tsukuba) as part of One World Numeration seminar\n
 \n\nAbstract\nClassical Lagrange spectrum is defined by Diophantine approx
 imation properties of arithmetic progressions. The theory of Lagrange spec
 trum is related to number theory and symbolic dynamics. In our talk we int
 roduce significantly analogous results of Lagrange spectrum in uniform dis
 tribution theory of geometric progressions. In particular\, we discuss the
  geometric sequences whose common ratios are Pisot numbers. For studying t
 he fractional parts of geometric sequences\, we introduce certain numerati
 on system. \n\nThis talk is based on a joint work with Shigeki Akiyama.\n
LOCATION:https://researchseminars.org/talk/OWNS/10/
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