Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, II
Harmonic measures versus quasiconformal measures for hyperbolic groups
We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this dimension is maximal. Our approach is based on the Green metric, a metric which provides a geometric point of view on random walks and, in particular, which allows us to interpret harmonic measures as quasiconformal measures on the boundary of the group.
Hausdorff dimension of uniformly non flat sets with topology.
Hausdorff measures in Minkowskian geometry
Hausdorff measures of the set of critical values of functions of the class
Hausdorff-Maße von Summenmengen. I.
Hausdorff-Maße von Summenmengen. II:
Heisenberg Hausdorff Dimension of Besicovitch Sets
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates for the Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Hrášek a sluníčko. O matematickém paradoxu Stefana Banacha a Alfreda Tarského