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Logarithm laws for one parameter unipotent flows |
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| Authors: | Dubi Kelmer Amir Mohammadi |
| Institution: | 1. Department of Mathematics, 301 Carney Hall Boston College, Chestnut Hill, MA, 02467-3806, USA 2. Department of Mathematics, The University of Texas at Austin 1, University Station, C1200, Austin, TX, 78750, USA |
| Abstract: | We prove logarithm laws and shrinking target properties for unipotent flows on the homogenous space Γ\ G with ${G= {\rm SL}_2(\mathbb{R})^{r_1}\times{\rm SL}_2(\mathbb{C})^{r_2}}$ 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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