In this paper we consider diagonally affine, planar IFS Φ = Φ = { S i ( x , y ) = ( α i x + t i , 1 , β i y + t i , 2 ) } i = 1 m \{S_i(x,y)\!=\!(α _ix+ti,1,β _iy+ti,2)\}ᵢ₌₁^m . 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.
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Bárány et al. (2016) studied this question.
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