Measures and Dimensions in Conformal Dynamics

@inproceedings{Urbanski2003MeasuresAD,
  title={Measures and Dimensions in Conformal Dynamics},
  author={Mariusz Urbanski},
  year={2003}
}
This survey collects basic results concerning fractal and ergodic properties of Julia sets of rational functions of the Riemann sphere. Frequently these results are compared with their counterparts in the theory of Kleinian groups, and this enlarges the famous Sullivan dictionary. The topics concerning Hausdorff and packing measures and dimensions are given most attention. Then, conformal measures are constructed and their relations with Hausdorff and packing measures are discussed throughout… CONTINUE READING
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