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SUMMARY:Dynamics of extremal polynomials and fractal approximation
DTSTART:20250403T120000Z
DTEND:20250403T130000Z
DTSTAMP:20260504T201300Z
UID:indico-event-13782@indico.math.cnrs.fr
DESCRIPTION:Speakers: Turgay Bayraktar (Istanbul/Paris)\n\nExtremal polyno
 mials (in the sense of Stahl and Totik) play an essential role in approxim
 ation theory and potential theory in the complex plane. In this talk\, we 
 will focus on dynamical properties of asymptotically extremal polynomials 
 associated with a non-polar planar compact set E ⊂ C. In particular\, if
  the zeros of such polynomials are uniformly bounded then their Brolin mea
 sures converge weakly to the equilibrium measure of the compact set E. Mor
 eover\, when the compact set is regular in the sense of potential theory\,
  filled-Julia sets of such polynomials converge to the polynomial convex h
 ull of the set E in a suitable sense. The talk is based on the joint work 
 with M. Efe.\n\nhttps://indico.math.cnrs.fr/event/13782/
LOCATION:Salle de Séminaires (Orléans)
URL:https://indico.math.cnrs.fr/event/13782/
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