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arxiv: 1209.3919 · v4 · pith:3LWS4THSnew · submitted 2012-09-18 · 🧮 math.GT

On the limit set of a geometrically infinite Kleinian group

classification 🧮 math.GT
keywords gammalimitgroupkleinianmeasurecompareconicalconsider
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For a torsion free Kleinian group $\Gamma$ without parabolics, we consider the decomposition of the limit set $L(\Gamma)$ into conical and ending limit sets and compare the Patterson-Sullivan measure with the harmonic measure on $L(\Gamma)$ when $L(\Gamma)=S^2_\infty$.

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