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SUMMARY:Ian Short (Open University\, UK)
DTSTART:20230207T140000Z
DTEND:20230207T150000Z
DTSTAMP:20260422T201703Z
UID:CAvid/94
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/94/">I
 terated function systems in holomorphic dynamics</a>\nby Ian Short (Open U
 niversity\, UK) as part of CAvid: Complex Analysis video seminar\n\nLectur
 e held in N/A.\n\nAbstract\nMotivated by classical results in continued fr
 action theory\, we explore iterated function systems of holomorphic self-m
 aps of the disc and other Riemann surfaces. The primary tools in this ende
 avour are the hyperbolic metric and Pick's theorem that holomorphic maps a
 re contractions of the hyperbolic metric. We will review selected results 
 from this field over the last few decades and finish with work in preparat
 ion advancing these results by use of the hyperbolic derivative.\n
LOCATION:https://researchseminars.org/talk/CAvid/94/
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