By Dubi Kelmer and Amir Mohammadi

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.

December 2, 2011

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Logarithm laws for one parameter unipotent flows

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