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SUMMARY:Mykola Moroz (Institute of Mathematics\, Natl. Acad. Sci. Ukraine)
DTSTART:20251016T123000Z
DTEND:20251016T140000Z
DTSTAMP:20260423T024534Z
UID:fran/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/72/">Fa
 ithfulness and fractal equivalence principle for Perron expansions</a>\nby
  Mykola Moroz (Institute of Mathematics\, Natl. Acad. Sci. Ukraine) as par
 t of Семінар з фрактального аналізу / Fractal a
 nalysis seminar\n\n\nAbstract\nThis talk focuses on two fundamental aspect
 s of the fractal theory of Perron expansions. The first aspect is the fait
 hfulness of certain families of coverings generated by Perron expansions a
 nd their applications in the Hausdorff dimension calculation. The second a
 spect is the fractal equivalence principle\, which provides a base for the
  systematic transfer of fractal properties of the positive Perron expansio
 ns to their corresponding alternating expansions. We also demonstrate the 
 applications of the fractal equivalence principle to special cases of Perr
 on expansions\, such as modified Engel expansions and Ostrogradsky–Sierp
 iński–Pierce expansions.\n
LOCATION:https://researchseminars.org/talk/fran/72/
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