110 citations · 240 across the 19 of their papers we have counts for
30 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…
Quasiconformal folding - a review of `Models for the Eremenko-Lyubich class'
Philip J. Rippon
We review the paper `Models for the Eremenko--Lyubich class' by Chris Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers…
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…