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SUMMARY:Vasiliki Evdoridou (Open University\, UK)
DTSTART:20210608T130000Z
DTEND:20210608T140000Z
DTSTAMP:20260422T201404Z
UID:CAvid/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/43/">W
 andering on the boundary</a>\nby Vasiliki Evdoridou (Open University\, UK)
  as part of CAvid: Complex Analysis video seminar\n\nLecture held in N/A.\
 n\nAbstract\nIn the theory of iteration of transcendental entire functions
 \, wandering domains\, i.e. connected components of the Fatou set that are
  not eventually periodic\, have been extensively studied in recent years. 
 For example\, a nine-way classification of the internal dynamics in simply
  connected wandering domains has been given. In this talk we focus on the 
 dynamical behaviour on the boundaries of simply connected wandering domain
 s. In particular\, we consider the possibility that most boundary orbits c
 onverge together in a certain sense\, and give sufficient conditions for s
 uch a convergence to hold. Our results are motivated by and extend classic
 al results on the boundary dynamics of inner functions.\n\nThis is work in
  progress joint with A.M. Benini\, N. Fagella\, P. Rippon and G. Stallard.
 \n
LOCATION:https://researchseminars.org/talk/CAvid/43/
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