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SUMMARY:Jack Burkart (Stony Brook University)
DTSTART:20200618T150000Z
DTEND:20200618T155000Z
DTSTAMP:20260423T041504Z
UID:anpdews/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/3/">
 Transcendental Julia sets with fractional packing dimension</a>\nby Jack B
 urkart (Stony Brook University) as part of HA-GMT-PDE Seminar\n\n\nAbstrac
 t\nIn this talk\, we will define and compare different definitions of dime
 nsion (Hausdorff\, Minkowski\, and packing) used to analyze fractal sets. 
 We will then define the basic objects in complex dynamics\, and discuss so
 me history of results about the dimension of the fractal Julia sets that f
 amously show up in this area. No prior knowledge of complex dyanmics will 
 be assumed. We will conclude by discussing my recent construction of a Jul
 ia set of a non-polynomial entire function with packing dimension strictly
  between one and two. We will see that Whitney decompositions\, a foundati
 onal tool in harmonic analysis\, play a vital role in the dimension calcul
 ation.\n
LOCATION:https://researchseminars.org/talk/anpdews/3/
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