Logarithm laws for one parameter unipotent flows

Details Logarithm laws for one parameter unipotent flows Logarithm laws for one parameter unipotent flows

2011-05-26

arxiv.org/abs/1105.5325v2

Mathematics

Dynamical Systems

26 pages. This is the final version to appear in Geometric And Functional Analysis

Scientific paper

We prove logarithm laws and shrinking target properties for unipotent flows
on the homogenous space $\Gamma\bs G$ with
$G=\SL_2(\bbR)^{r_1}\times\SL_2(\bbC)^{r_2}$ and $\Gamma\subseteq G$ 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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