Self-Affine Sets

Abstract

. In this paper we consider diagonally affine, planar IFS Φ = { S i ( x,y )=( α i x + t i, 1 ,β i y + t i, 2 ) } mi =1 . Combining the techniques of Hochman and Feng and Hu, we compute the Hausdorff dimension of the self-affine attractor and measures and we give an upper bound for the dimension of the exceptional set of parameters.