415 citations · 1.2k across the 61 of their papers we have counts for
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math.DS2013★ 9 cited
The Julia set and the fast escaping set of a quasiregular mapping
Walter Bergweiler, Alastair Fletcher, Daniel A. Nicks
It is shown that for quasiregular maps of positive lower order the Julia set coincides with the boundary of the fast escaping set.
math.DS2013★ 13 cited
The fast escaping set for quasiregular mappings
Walter Bergweiler, David Drasin, Alastair Fletcher
The fast escaping set of a transcendental entire function is the set of all points which tend to infinity under iteration as fast as compatible with the growth of the function. We…
math.DS2013
The size of Julia sets of quasiregular maps
Walter Bergweiler
Sun Daochun and Yang Lo have shown that many results of the Fatou-Julia iteration theory of rational functions extend to quasiregular self-maps of the Riemann sphere for which the…