3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.DS2014★ 3 cited
Dimensions of slowly escaping sets and annular itineraries for exponential functions
D. J. Sixsmith
We study the iteration of functions in the exponential family. We construct a number of sets, consisting of points which escape to infinity `slowly', and which have Hausdorff dimen…
math.CV2013
Functions of genus zero for which the fast escaping set has Hausdorff dimension two
D. J. Sixsmith
We study a family of transcendental entire functions of genus zero, for which all of the zeros lie within a closed sector strictly smaller than a half-plane. In general these funct…