415 citations · 1.2k across the 61 of their papers we have counts for
Showing 2010 · math.DSShow all
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math.DS2010★ 9 cited
On the set where the iterates of an entire function are bounded
Walter Bergweiler
We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.
math.DS2010★ 13 cited
On the uniform perfectness of the boundary of multiply connected wandering domains
Walter Bergweiler, Jian-Hua Zheng
We investigate in which cases the boundary of a multiply connected wandering domain of an entire function is uniformly perfect. We give a general criterion implying that it is not…
math.DS2010★ 23 cited
Dynamics of a higher dimensional analog of the trigonometric functions
Walter Bergweiler, Alexandre Eremenko
We introduce a higher dimensional quasiregular map analogous to the trigonometric functions and we use the dynamics of this map to define, for d>1, a partition of d-dimensional Euc…