Vasiliki Evdoridou (Open University)

will speak on

Contracting sequences of inner functions

Time: 2:00PM
Date: Tue 25th March 2025
Location: E0.32 (beside Pi restaurant) [map]

Further information

Abstract: In the setting of iteration of inner functions, Aaronson and also Doering and Mane gave a remarkable dichotomy about the behaviour of the boundary extension. They showed that this behaviour is of one of two entirely different types, depending on the size of the sequence (|f^n(0)|). We will discuss the two parts of this dichotomy in the setting of forward compositions of inner functions. We will focus on the second part, which is more intriguing, and present some recent results in the case where the composition is contracting. This is joint work with A.M. Benini, N. Fagella, P. Rippon and G. Stallard.

https://ucd-ie.zoom.us/j/64833559977

(This talk is part of the Analysis series.)

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