8 citations · 16 across the 3 of their papers we have counts for
3 papers
math.DS2012★ 8 cited
Escape rate and Hausdorff measure for entire functions
Walter Bergweiler, Jörn Peter
The escaping set of an entire function is the set of points that tend to infinity under iteration. We consider subsets of the escaping set defined in terms of escape rates and obta…
math.DS2011
Hausdorff measure of escaping and Julia sets for bounded type functions of finite order
Jörn Peter
We show that the escaping sets and the Julia sets of bounded type transcendental entire functions of order become 'smaller' as . More precisely, their Hausdorff mea…
math.DS2010★ 8 cited
Poincaré functions with spiders' webs
Helena Mihaljević-Brandt, Jörn Peter
For a polynomial p with a repelling fixed point w, we consider Poincaré functions of p at w, i.e. entire functions L which satisfy L(0)=w and p(L(z))=L(p'(w)*z) for all z in the co…