BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Volodymyr Yelahin (Institute of Mathematics\, Natl. Acad. Sci. Ukr aine) DTSTART:20260514T123000Z DTEND:20260514T131500Z DTSTAMP:20260602T193803Z UID:fran/78 DESCRIPTION:Title: Co ntinuous structurally fractal functions defined in terms of the $Q_s$-repr esentation and nega-$Q_s$-representation of numbers (Ph.D. student's repor t)\nby Volodymyr Yelahin (Institute of Mathematics\, Natl. Acad. Sci. Ukraine) as part of Семінар з фрактального аналі зу / Fractal analysis seminar\n\n\nAbstract\nThe Ph.D. student will repo rt on his progress in completing the individual plan of study as well as t he education and research program. This event is open\, i.e.\, everyone is welcome to join the seminar and participate in the discussion.\n\nHis res earch lies on the border of the constructive theory of functions with loca lly complicated structure and fractal properties\, theory of encoding of r eal numbers\, metric and probabilistic number theory. The dissertation foc uses on the applications of finite-symbol representations of real numbers with zero redundancy\, such as the $Q_s$-representation and nega-$Q_s$-rep resentation\, in the constructive theory of functions with structurally fr actal properties defined on the interval $[0\, 1]$.\n LOCATION:https://researchseminars.org/talk/fran/78/ END:VEVENT END:VCALENDAR