Let $K(x, y)$ be the number in the title. There is a function $f(r)$, concave and decreasing with $f(0) = 2$ and $f'(0) = 0$ such that if $r = \Sqrt{\log x} /\log y ...
The exact formula for the Hausdorff dimension of the graph of a continuous self-affine function is obtained. The Hausdorff dimension of some class of Borel probability measures is computed. The ...