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arXiv:1512.02373 [math.DS]AbstractReferencesReviewsResources

On the rate of equidistribution of expanding horospheres in finite-volume quotients of $\mathrm{SL}(2,\mathbb{C})$

Samuel Edwards

Published 2015-12-08Version 1

Let $\Gamma$ be a lattice in $G=\mathrm{SL}(2,\mathbb{C})$. We give an effective equidistribution result with precise error terms for expanding translates of pieces of horospherical orbits in $\Gamma\backslash G$. Our method of proof relies on the theory of unitary representations.

Comments: 26 pages
Categories: math.DS
Subjects: 37A17
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