Gwyneth M. Stallard

On questions of Fatou and Eremenko

Let

Slow escaping points of meromorphic functions

f

The growth rate of an entire function and the Hausdorff dimension of its Julia set

be a transcendental entire function and let

ESCAPING POINTS OF MEROMORPHIC FUNCTIONS WITH A FINITE NUMBER OF POLES

I(f)

Are Devaney hairs fast escaping

be the set of points whose iterates under

Boundaries of escaping Fatou components

f

Dimensions of Julia sets of meromorphic functions

tend to infinity. We show that

THE HAUSDORFF DIMENSION OF JULIA SETS OF ENTIRE FUNCTIONS IV

I(f)

Families of Baker domains: I

has at least one unbounded component. In the case that

Hausdorff dimensions of escaping sets of transcendental entire functions

f