2 papers
math.DS2019
A new family of entire functions with no wandering domains
Yannis Dourekas
The issue of whether an analytic function has wandering domains has long been of interest in complex dynamics. Sullivan proved in 1985 that rational maps do not have wandering doma…
math.DS2019
Cantor Bouquets in Spiders' Webs
Yannis Dourekas
For many transcendental entire functions, the escaping set has the structure of a Cantor bouquet, consisting of uncountably many disjoint curves. Rippon and Stallard showed that th…