BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kiko Kawamura (University of North Texas) DTSTART:20230124T130000Z DTEND:20230124T140000Z DTSTAMP:20260423T021339Z UID:OWNS/107 DESCRIPTION:Title: T he partial derivative of Okamoto's functions with respect to the parameter \nby Kiko Kawamura (University of North Texas) as part of One World Nu meration seminar\n\n\nAbstract\nOkamoto's functions were introduced in 200 5 as a one-parameter family of self-affine functions\, which are expressed by ternary expansion of $x$ on the interval $[0\,1]$. By changing the par ameter\, one can produce interesting examples: Perkins' nowhere differenti able function\, Bourbaki-Katsuura function and Cantor's Devil's staircase function. \n\nIn this talk\, we consider the partial derivative of Okomoto 's functions with respect to the parameter $a$. We place a significant foc us on $a = 1/3$ to describe the properties of a nowhere differentiable fun ction $K(x)$ for which the set of points of infinite derivative produces a n example of a measure zero set with Hausdorff dimension 1.\n\nThis is a j oint work with T. Mathis and M.Paizanis (undergraduate students) and N.Dal aklis (graduate student). The talk is very accessible and includes many co mputer graphics.\n LOCATION:https://researchseminars.org/talk/OWNS/107/ END:VEVENT END:VCALENDAR