Equidistribution of divergent orbits of the diagonal group in the space of lattices
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DOI: 10.1017/etds.2018.80
Abstract: We consider divergent orbits of the group of diagonal matrices in the space of lattices in Euclidean space. We define two natural numerical invariants of such orbits: the discriminant—an integer—and the type—an integer vector. We… read more here.
Keywords: space; equidistribution divergent; group; divergent orbits ... See more keywords
Almost-prime times in horospherical flows on the space of lattices
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DOI: 10.3934/jmd.2019022
Abstract: An integer is called almost-prime if it has fewer than a fixed number of prime factors. In this paper, we study the asymptotic distribution of almost-prime entries in horospherical flows on \begin{document}$ \Gamma\backslash {{\rm{SL}}}_n(\mathbb{R}) $\end{document}… read more here.
Keywords: horospherical flows; document; flows space; almost prime ... See more keywords