A \ pressure' functional \Φˢ (T₁,\… ,TN), defined as the limit of sums of singular value functions of products of linear mappings (T₁,\… ,TN), is central in analysing fractal dimensions of self-affine sets. We investigate the continuity of \Φˢ with respect to the linear mappings (T₁,\… ,TN) which underlie the self-affine sets.
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Falconer et al. (2009) studied this question.
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