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SUMMARY:Artem Dudko (IM PAN)
DTSTART:20250513T120000Z
DTEND:20250513T130000Z
DTSTAMP:20260423T052923Z
UID:OWNS/149
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/149/">O
 n attractors of Fibonacci maps</a>\nby Artem Dudko (IM PAN) as part of One
  World Numeration seminar\n\n\nAbstract\nIn 1990s Bruin\, Keller\, Nowicki
 \, and van Strien showed that smooth unimodal maps with Fibonacci combinat
 orics and sufficiently high degree of a critical point have a wild attract
 or\, i.e. their metric and topological attractors do not coincide. However
 \, until now there were no reasonable estimates on the degree of the criti
 cal point needed.\n\nIn the talk I will present an approach for studying a
 ttractors of maps\, which are periodic points of a renormalization. Using 
 this approach and rigorous computer estimates\, we show that the Fibonacci
  map of degree $d=3.8$ does not have a wild attractor\, but that for degre
 e $d=5.1$ the wild attractor exists. The talk is based on a joint work wit
 h Denis Gaidashev.\n
LOCATION:https://researchseminars.org/talk/OWNS/149/
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