Criniferous entire functions and Cantor bouquet Julia sets [ Back ]

Date:
25.02.21   
Times:
16:00 to 17:00
Place:
on-line
Speaker:
Leticia Pardo Simón
University:
Mathematical Institute of the Polish Academy of Sciences

 

Abstract

 

It is known that, for many transcendental entire functions  with bounded singular set, every escaping point can eventually be connected to infinity by a curve of escaping points. When this is the case, we say that the functions are criniferous. Although not all functions with bounded singular set are criniferous, those with finite order of growth are, and, in some special cases, their Julia set is a collection of hairs forming a topological object known as Cantor bouquet. In this talk, we describe a new class of criniferous functions and explore their relation to Cantor bouquets. This is joint work with L. Rempe.