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SUMMARY:Yuliya Voloshyn (Mykhailo Drahomanov Ukrainian State University)
DTSTART:20260625T123000Z
DTEND:20260625T140000Z
DTSTAMP:20260715T074542Z
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\n\nAbstract\nThis talk is devoted to the
  study of the fractal and topological properties of the sets of quasi-norm
 al\, partially\, and essentially anormal numbers for the factorial numeral
  system. In particular\, we prove that the set of essentially anormal numb
 ers generated by the factorial expansion is residual. The superfractality 
 of the set of partially anormal and essentially anormal numbers for the fa
 ctorial expansion is also proved. On the other hand\, in the talk\, we pre
 sent new properties about the calculation of the Hausdorff–Besicovitch d
 imension for subsets of the set of quasi-normal numbers for the factorial 
 expansion. Possible generalizations of the obtained results and their tran
 sfer to other classes of the Cantor expansions are also discussed.\n
LOCATION:https://researchseminars.org/talk/fran/81/
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