Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+
 All Title Author Keywords Abstract
 Publish in OALib Journal ISSN: 2333-9721 APC: Only \$99

 Relative Articles The Multiplicative golden mean shift has infinite Hausdorff measure Hausdorff dimension for fractals invariant under the multiplicative integers Bifurcation and Hausdorff dimension in families of chaotically driven maps with multiplicative forcing The Hausdorff Dimension of the Penrose Universe On the Hausdorff Dimension of the Mather Quotient Topological diagonalizations and Hausdorff dimension Hausdorff Dimension and Diophantine Approximation On the Hausdorff dimension of Newhouse phenomena Hedgehogs of Hausdorff dimension one Hausdorff dimension in graph matchbox manifolds More...
Mathematics  2011

# Hausdorff dimension of the multiplicative golden mean shift

 Full-Text   Cite this paper

Abstract:

We compute the Hausdorff dimension of the "multiplicative golden mean shift" defined as the set of all reals in \$[0,1]\$ whose binary expansion \$(x_k)\$ satisfies \$x_k x_{2k}=0\$ for all \$k\ge 1\$, and show that it is smaller than the Minkowski dimension.

Full-Text