Continuity of Subadditive Pressure for Self-affine Sets

نویسندگان

  • K. Falconer
  • A. Sloan
چکیده

A certain ‘pressure’ functional Φ(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 Φ with respect to the linear mappings (T1, . . . , TN ) which underlie the self-affine sets.

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تاریخ انتشار 2008