Hausdorff dimension of harmonic measures on negatively curved manifolds
Hausdorff dimension of harmonic measures on negatively curved manifolds
We show by probabilistic means that harmonic measures on manifolds, whose curvature is sandwiched between two negative constants have positive Hausdorff dimensions. A lower bound for harmonic measures of open sets is derived, as well. We end with the results concerning the Hausdorff dimension of harmonic measures on universal covers …