Packing Measure, and its Evaluation for a Brownian Path
Packing Measure, and its Evaluation for a Brownian Path
A new measure on the subsets $E \subset {{\mathbf {R}}^d}$ is constructed by packing as many disjoint small balls as possible with centres in $E$. The basic properties of $\phi$-packing measure are obtained: many of these mirror those of $\phi$-Hausdorff measure. For $\phi (s) = {s^2}/(\log \log (1/s))$, it is …