110 citations · 288 across the 19 of their papers we have counts for
29 papers
Non-autonomous dynamics of inner functions: mixing and entropy
Vasiliki Evdoridou, Núria Fagella, Philip Rippon +1
We generalise a mixing result due to Pommerenke for non-autonomous dynamical systems of forward compositions of the boundary values of centred inner functions; the proof depends on…
Shrinking targets and recurrent behaviour for forward compositions of inner functions
Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2
We prove sharp results about recurrent behaviour of orbits of forward compositions of inner functions, inspired by fundamental results about iterates of inner functions, and give e…
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2
There are many classical results, related to the Denjoy--Wolff Theorem, concerning the relationship between orbits of interior points and orbits of boundary points under iterates o…
Iterating the minimum modulus: functions of order half, minimal type
Daniel A. Nicks, Philip J. Rippon, Gwyneth M. Stallard
For a transcendental entire function , the property that there exists such that as , where , is related to conjec…
Oscillating simply connected wandering domains
Vasiliki Evdoridou, Philip J. Rippon, Gwyneth M. Stallard
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 onl…
On subharmonic and entire functions of small order: after Kjellberg
Philip J. Rippon, Gwyneth M. Stallard
We give a general method for constructing examples of transcendental entire functions of given small order, which allows precise control over the size and shape of the set where th…