BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kan Jiang (Ningbo University) DTSTART:20201013T123000Z DTEND:20201013T133000Z DTSTAMP:20260423T021441Z UID:OWNS/19 DESCRIPTION:Title: Re presentations of real numbers on fractal sets\nby Kan Jiang (Ningbo Un iversity) as part of One World Numeration seminar\n\n\nAbstract\nThere are many approaches which can represent real numbers. For instance\, the $\\b eta$-expansions\, the continued fraction and so forth. Representations of real numbers on fractal sets were pioneered by H. Steinhaus who proved in 1917 that $C+C=[0\,2]$ and $C−C=[−1\,1]$\, where $C$ is the middle-thi rd Cantor set. Equivalently\, for any $x \\in [0\,2]$\, there exist some $ y\,z \\in C$ such that $x=y+z$. In this talk\, I will introduce similar re sults in terms of some fractal sets.\n LOCATION:https://researchseminars.org/talk/OWNS/19/ END:VEVENT END:VCALENDAR