Lower order and Baker wandering domains of solutions to differential equations with coefficients of exponential growth
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.07.007
Abstract: Abstract We investigate transcendental entire solutions of complex differential equations f ″ + A ( z ) f = H ( z ) , where the entire function A ( z ) has a growth… read more here.
Keywords: lower order; wandering domains; growth; order ... See more keywords
No round wandering domains for $C^{1}$ -diffeomorphisms of tori
Sign Up to like & getrecommendations! Published in 2019 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.11
Abstract: We prove that if $n\geq 2$ , then there is no $C^{1}$ -diffeomorphism $f$ of the $n$ -torus such that $f$ is semi-conjugate to a minimal translation and its wandering domains are geometric balls. This… read more here.
Keywords: domains diffeomorphisms; diffeomorphisms tori; wandering domains; round wandering ... See more keywords
Oscillating simply connected wandering domains
Sign Up to like & getrecommendations! 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… read more here.
Keywords: connected wandering; wandering domains; oscillating simply; oscillating wandering ... See more keywords
Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics
Sign Up to like & getrecommendations! 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… read more here.
Keywords: internal dynamics; connected wandering; domains meromorphic; multiply connected ... See more keywords
Hyperbolic Metric and Multiply Connected Wandering Domains of Meromorphic Functions
Sign Up to like & getrecommendations! 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… read more here.
Keywords: connected wandering; meromorphic functions; wandering domains; multiply connected ... See more keywords