Combinatorial properties of the Hausdorff dimension
The author considers subsets F of \(X^{\omega}\), the space of infinite sequences over an alphabet of cardinality r. Introducing a suitable entropy \(H_ F\) for such sets (in terms of combinatorial properties) he shows that, for a certain class of such sets, \(H_ F\) equals the Hausdorff dimension of the set obtained by interpreting each \(x\in F\) as the base r expansion of a real number.
scientific article; zbMATH DE number 4164979