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Analyticity of Hausdorff dimension of limit sets of Kleinian groups. (English) Zbl 0890.30028
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.

MSC:
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)
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