%0 Journal Article %T Hausdorff dimension of certain random self--affine fractals %A Nuno Luzia %J Mathematics %D 2009 %I arXiv %X In this work we are interested in the self--affine fractals studied by Gatzouras and Lalley and by the author which generalize the famous general Sierpinski carpets studied by Bedford and McMullen. We give a formula for the Hausdorff dimension of sets which are randomly generated using a finite number of self-affine transformations each one generating a fractal set as mentioned before, with some technical hypotheses. The choice of the transformation is random according to a Bernoulli measure. The formula is given in terms of the variational principle for the dimension. %U http://arxiv.org/abs/0906.3740v1