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SUMMARY:Olha Bondarenko (Mykhailo Drahomanov Ukrainian State University)
DTSTART:20250130T133000Z
DTEND:20250130T150000Z
DTSTAMP:20260423T041112Z
UID:fran/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/60/">St
 ructurally fractal continuous functions defined in terms of infinite-symbo
 l and Cantor representations of real numbers (presentation of the C.Sc. de
 gree dissertation)</a>\nby Olha Bondarenko (Mykhailo Drahomanov Ukrainian 
 State University) as part of Семінар з фрактального а
 налізу / Fractal analysis seminar\n\n\nAbstract\nThis is a joint mee
 ting of the Department of Theory of Functions seminar and the Fractal anal
 ysis seminar (Institute of Mathematics of the National Academy of Sciences
  of Ukraine)\, where the Ph.D. student will present research results obtai
 ned in the Candidate of Sciences (Ph.D.) degree dissertation and this diss
 ertation will be discussed.\n\nThis work belongs to the theory of continuo
 us locally complicated functions with fractal properties. The main object 
 of the research is a continuum class of functions defined by means of a br
 and-new system of encoding for real numbers ($B$-representation of numbers
 ) with a two-sided infinite alphabet (the set of integer numbers). Results
  on structural\, topological and metric\, variational\, integral and diffe
 rential\, and fractal properties of functions of this class are presented.
 \n\nThe functions belonging to this class differ essentially from the func
 tions previously studied using other representations of numbers because th
 e two-sided infinite alphabet produces unexpected consequences.\n
LOCATION:https://researchseminars.org/talk/fran/60/
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