On the limit set of a geometrically infinite Kleinian group

preprint2013arXivOpen access

Abstract

For a torsion free Kleinian group ΓΓ without parabolics, we consider the decomposition of the limit set L(Γ)L(Γ) into conical and ending limit sets and compare the Patterson-Sullivan measure with the harmonic measure on L(Γ)L(Γ) when L(Γ)=S∞2L(Γ)=S^2_\infty.

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