Balázs Bárány, Michał\ Rams, Károly Simon
Published 2015-04-27Version 1
In this paper we consider diagonally affine, planar IFS $\Phi=\left\{S_i(x,y)=(\alpha_ix+t_{i,1},\beta_iy+t_{i,2})\right\}_{i=1}^m$. Combining the techniques of Hochman and Feng, 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.
The Hausdorff dimension of the projections of self-affine carpets
Measure and Hausdorff dimension of randomized Weierstrass-type functions
On some non-conformal fractals
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