On the Dimension and Measure of Inhomogeneous Attractors

  title={On the Dimension and Measure of Inhomogeneous Attractors},
  author={Stuart A. Burrell},
  journal={Real Analysis Exchange},
  • S. Burrell
  • Published 2 May 2018
  • Mathematics
  • Real Analysis Exchange
We investigate the upper box dimension of inhomogeneous attractors generated from iterated function systems. Our results have applications for affine systems with affinity dimension less than one and systems satisfying bounded distortion, such as conformal systems in dimensions greater than one. In particular, this generalises the result of Fraser on self-similar sets. We also apply the methods developed to investigate the Hausdorff measure at the critical value. 

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