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The exact Hausdorff dimension in random recursive constructions

About this Title

Siegfried Graf, R. Daniel Mauldin and S. C. Williams

Publication: Memoirs of the American Mathematical Society
Publication Year 1988: Volume 71, Number 381
ISBNs: 978-0-8218-2444-3 (print); 978-1-4704-0801-5 (online)
MathSciNet review: 920961
MSC: Primary 28A75; Secondary 60B05

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Table of Contents


  • 1. Random constructions and the $Q$-measure
  • 2. The radius of convergence for the moment generating function of $X^\beta $, $\beta > 1$
  • 3. An upper bound for the Hausdorff dimension
  • 4. A lower bound for the Hausdorff dimension
  • 5. Main results
  • 6. Examples