%0 Journal Article %T On the Hausdorff dimension of Newhouse phenomena %A Pierre Berger %A Jacopo De Simoi %J Mathematics %D 2014 %I arXiv %X We show that at the vicinity of a generic dissipative homoclinic unfolding of a surface diffeomorphism, the Hausdorff dimension of the set of parameters for which the diffeomorphism admits infinitely many periodic sinks is at least 1/2. %U http://arxiv.org/abs/1404.2308v1