The box dimension (or 'capacity') of a class of self-affine sets in the plane is calculated. The formula for box dimension given here has a similar form to Bowen's formula for the Hausdorff dimension of self-similar sets, involving the topological pressure of certain functions. The sets studied appear in two contexts; as graphs of generalised Weierstrass functions and as repellers in some foliation preserving maps of the cylinder. The author uses the techniques of the 'singularity spectrum' in order to carry out the calculations.
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