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arXiv · 1105.5325

Logarithm laws for one parameter unipotent flows

Dubi Kelmer·Amir Mohammadi
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Abstract

We prove logarithm laws and shrinking target properties for unipotent flows on the homogenous space $Γ\bs G$ with $G=\SL_2(\bbR)^{r_1}\times\SL_2(\bbC)^{r_2}$ and $Γ\subseteq G$ an irreducible non-uniform lattice. Our method relies on certain estimates for the norms of (incomplete) theta series in this setting.

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Dubi Kelmer, Amir Mohammadi. 2016-09-30. Logarithm laws for one parameter unipotent flows. https://arxiv.org/abs/1105.5325

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