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SUMMARY:Yuliya Voloshyn (Mykhailo Drahomanov Ukrainian State University)
DTSTART:20260625T123000Z
DTEND:20260625T140000Z
DTSTAMP:20260623T124102Z
UID:fran/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/81/">Th
 e metric\, topological\, and fractal properties of the sets of quasi-norma
 l\, partially anormal\, and essentially anormal numbers for the factorial 
 expansion</a>\nby Yuliya Voloshyn (Mykhailo Drahomanov Ukrainian State Uni
 versity) 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\nThis talk is devoted to the study of
  the fractal and topological properties of the sets of quasi-normal\, part
 ially\, and essentially anormal numbers for the factorial numeral system. 
 In particular\, we prove that the set of essentially anormal numbers gener
 ated by the factorial expansion is residual. The superfractality of the se
 t of partially anormal and essentially anormal numbers for the factorial e
 xpansion is also proved. On the other hand\, in the talk\, we present new 
 properties about the calculation of the Hausdorff–Besicovitch dimension 
 for subsets of the set of quasi-normal numbers for the factorial expansion
 . Possible generalizations of the obtained results and their transfer to o
 ther classes of the Cantor expansions are also discussed.\n
LOCATION:https://researchseminars.org/talk/fran/81/
URL:https://bbb.imath.kiev.ua/b/fra-gzt-rh6
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