24 citations · 75 across the 31 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
Poincare linearizers in higher dimensions
Alastair Fletcher
It is well-known that a holomorphic function near a repelling fixed point may be conjugated to a linear function. The function which conjugates is called a Poincaré linearizer and…
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…