Mesures de Hausdorff de l'ensemble limite de groupes kleiniens géométriquement finis
We prove here that the Poincaré exponent of a geometrically finite group od isometries of the 3-dimensionnal hyperbolic space coincides with the Hausdorff dimension of its limit set. We also compare the natural measures supported by this set: the Patterson measure and the Hausdorff and packing measures corresponding to the standart jauge.
math.DG↗