%0 Journal Article %T On the set where the iterates of an entire function are bounded %A Walter Bergweiler %J Mathematics %D 2010 %I arXiv %R 10.1090/S0002-9939-2011-11456-4 %X 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. %U http://arxiv.org/abs/1012.1279v1