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-variable fractals: dimension results
-
Michael Barnsley
,
John E. Hutchinson
Published/Copyright:
May 1, 2012
Abstract.
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.
Keywords: -variable fractals; Hausdorff dimension
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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Articles in the same Issue
- Masthead
- -variable fractals: dimension results
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Phylogenetic analysis and homology
- Rational homotopy type of the moduli of representations with Borel mold
- Transcendence of special values of quasi-modular forms
- Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
- Infinite-dimensional supermanifolds over arbitrary base fields
- Weyl and Zariski chambers on K3 surfaces
- The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
- Solving algebraic equations in roots of unity
