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SUMMARY:Artem Dudko (Institute of Mathematics\, Polish Academy of Sciences
 )
DTSTART:20240328T133000Z
DTEND:20240328T150000Z
DTSTAMP:20260423T022741Z
UID:fran/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/51/">On
  Hausdorff dimension of Julia sets</a>\nby Artem Dudko (Institute of Mathe
 matics\, Polish Academy of Sciences) as part of Семінар з фрак
 тального аналізу / Fractal analysis seminar\n\n\nAbstract\n
 Roughly speaking\, Julia set of a polynomial map is the set of points near
  which the iterations of this map behave chaotically. It is a fractal set\
 , possessing many interesting properties. A natural question is how large 
 a Julia set can be. One of ways to measure the size of a Julia set is usin
 g Hausdorff (and other types of) dimension. In the first part of the talk 
 I will give necessary definitions and a brief overview of the topic. In th
 e second part I will present an approach for studying dimensions of Julia 
 sets and describe computer assisted results obtained using it\, solving so
 me open questions in this area (joint work with Igors Gorbovickis and Warw
 ick Tucker).\n
LOCATION:https://researchseminars.org/talk/fran/51/
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