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SUMMARY:Mykola Moroz (Institute of Mathematics\, Natl. Acad. Sci. Ukraine)
DTSTART:20251204T133000Z
DTEND:20251204T150000Z
DTSTAMP:20260423T024541Z
UID:fran/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/75/">Fr
 actal quasi-equivalence principle for classical and modified Engel expansi
 ons</a>\nby Mykola Moroz (Institute of Mathematics\, Natl. Acad. Sci. Ukra
 ine) as part of Семінар з фрактального аналізу 
 / Fractal analysis seminar\n\n\nAbstract\nThis talk is devoted to the frac
 tal quasi-equivalence principle for classical and modified Engel expansion
 s. We identify a class of sets for which the projector from the classical 
 Engel expansion into its modified version preserves their Hausdorff dimens
 ion. The obtained results provide a conceptual explanation for some parall
 els between the fractal theories of these expansions and the Ostrogradsky
 –Sierpiński–Pierce expansions. We also present several new fractal pr
 operties that demonstrate the effectiveness of this principle.\n
LOCATION:https://researchseminars.org/talk/fran/75/
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