Anderson, James W.; Rocha, André C. Analyticity of Hausdorff dimension of limit sets of Kleinian groups. (English) Zbl 0890.30028 Ann. Acad. Sci. Fenn., Math. 22, No. 2, 349-364 (1997). We show that the Hausdorff dimension of the limit set is a real analytic function on the deformation space of a certain class of convex co-compact Kleinian groups, which includes all convex co-compact function groups. This extends a result of Ruelle for quasifuchsian groups. Reviewer: J.W.Anderson (Southampton) Cited in 8 Documents MSC: 30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization) Keywords:Hausdorff dimension; limit set; co-compact Kleinian groups PDF BibTeX XML Cite \textit{J. W. Anderson} and \textit{A. C. Rocha}, Ann. Acad. Sci. Fenn., Math. 22, No. 2, 349--364 (1997; Zbl 0890.30028) Full Text: EMIS EuDML