%0 Journal Article
%T Hausdorff dimension of the multiplicative golden mean shift
%A Richard Kenyon
%A Yuval Peres
%A Boris Solomyak
%J Mathematics
%D 2011
%I arXiv
%X We compute the Hausdorff dimension of the "multiplicative golden mean shift" defined as the set of all reals in $[0,1]$ whose binary expansion $(x_k)$ satisfies $x_k x_{2k}=0$ for all $k\ge 1$, and show that it is smaller than the Minkowski dimension.
%U http://arxiv.org/abs/1105.3441v2