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Licensed Unlicensed Requires Authentication Published by De Gruyter May 1, 2012

-variable fractals: dimension results

  • Michael Barnsley EMAIL logo , John E. Hutchinson and Örjan Stenflo
From the journal


The families of -variable fractals for , together with their natural probability distributions, interpolate between the corresponding families of random homogeneous fractals and of random recursive fractals. We investigate certain random matrices associated with these fractals and use them to compute the almost sure Hausdorff dimension of -variable fractals satisfying the uniform open set condition.

Received: 2009-08-20
Revised: 2010-05-13
Published Online: 2012-05-01
Published in Print: 2012-May

© 2012 by Walter de Gruyter Berlin Boston

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