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Hausdorff dimension of self-affine limit sets with an invariant direction
We determine the Hausdorff dimension of self-affine
limit sets for some class of iterated function systems in the plane with an
invariant direction. In particular, the method applies to some type of
generalized non-self-similar Sierpiński triangles. This
partially answers a question asked by Falconer and Lammering and
extends a result by Lalley and Gatzouras.