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SUMMARY:Volodymyr Yelahin (Institute of Mathematics\, Natl. Acad. Sci. Ukr
 aine)
DTSTART:20260514T123000Z
DTEND:20260514T131500Z
DTSTAMP:20260513T133452Z
UID:fran/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/78/">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)</a>\nby Volodymyr Yelahin (Institute of Mathematics\, Natl. Acad. Sci. 
 Ukraine) as part of Семінар з фрактального аналі
 зу / Fractal analysis seminar\n\nInteractive livestream: https://bbb.ima
 th.kiev.ua/b/fra-gzt-rh6\n\nAbstract\nThe Ph.D. student will report on his
  progress in completing the individual plan of study as well as the educat
 ion and research program. This event is open\, i.e.\, everyone is welcome 
 to join the seminar and participate in the discussion.\n\nHis research lie
 s on the border of the constructive theory of functions with locally compl
 icated structure and fractal properties\, theory of encoding of real numbe
 rs\, metric and probabilistic number theory. The dissertation focuses on t
 he applications of finite-symbol representations of real numbers with zero
  redundancy\, such as the $Q_s$-representation and nega-$Q_s$-representati
 on\, in the constructive theory of functions with structurally fractal pro
 perties defined on the interval $[0\, 1]$.\n
LOCATION:https://researchseminars.org/talk/fran/78/
URL:https://bbb.imath.kiev.ua/b/fra-gzt-rh6
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