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20072026
most citedFast escaping points of entire functions

110 citations · 240 across the 19 of their papers we have counts for

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math.DS2026

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…

math.DS2024

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…

math.DS2022

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…

math.DS2020

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…

math.DS2019

Classifying simply connected wandering domains

Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2

While the dynamics of transcendental entire functions in periodic Fatou components and in multiply connected wandering domains are well understood, the dynamics in simply connected…

math.DS2018

Eremenko's conjecture for functions with real zeros: the role of the minimum modulus

Daniel A. Nicks, Philip J. Rippon, Gwyneth M. Stallard

We show that for many families of transcendental entire functions the property that as , for some , where , impli…