Abstract
A \textquoteleft pressure' functional $\Phi^s (T_1,\ldots ,T_N)$, defined as the limit of sums of singular value functions of products of linear mappings $(T_1,\ldots ,T_N)$, is central in analysing fractal dimensions of self-affine sets. We investigate the continuity of $\Phi^s$ with respect to the linear mappings $(T_1,\ldots ,T_N)$ which underlie the self-affine sets.
Citation
Kenneth Falconer. Arron Sloan. "Continuity of Subadditive Pressure for Self-Affine Sets." Real Anal. Exchange 34 (2) 413 - 428, 2008/2009.
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