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Published in 2022 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.169
Abstract: Although detailed descriptions of the possible types of behaviour inside periodic Fatou components have been known for over 100 years, a classification of wandering domains has only recently been given. Recently, simply connected wandering domains…
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Keywords:
connected wandering;
wandering domains;
oscillating simply;
oscillating wandering ... See more keywords
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2
Published in 2023 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2023.27
Abstract: Recently, Benini et al showed that, in simply connected wandering domains of entire functions, all pairs of orbits behave in the same way relative to the hyperbolic metric, thus giving us our first insight into…
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Keywords:
internal dynamics;
connected wandering;
domains meromorphic;
multiply connected ... See more keywords
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0
Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000377
Abstract: Abstract In this paper, in terms of the hyperbolic metric, we give a condition under which the image of a hyperbolic domain of an analytic function contains a round annulus centred at the origin. From…
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Keywords:
connected wandering;
meromorphic functions;
wandering domains;
multiply connected ... See more keywords