On \epsilon -escaping trajectories in homogeneous spaces
On \epsilon -escaping trajectories in homogeneous spaces
<p style='text-indent:20px;'>Let <inline-formula><tex-math id="M2">\begin{document}$ G/\Gamma $\end{document}</tex-math></inline-formula> be a finite volume homogeneous space of a semisimple Lie group <inline-formula><tex-math id="M3">\begin{document}$ G $\end{document}</tex-math></inline-formula>, and <inline-formula><tex-math id="M4">\begin{document}$ \{\exp(tD)\} $\end{document}</tex-math></inline-formula> be a one-parameter <inline-formula><tex-math id="M5">\begin{document}$ \operatorname{Ad} $\end{document}</tex-math></inline-formula>-diagonalizable subgroup inside a simple Lie subgroup <inline-formula><tex-math id="M6">\begin{document}$ G_0 $\end{document}</tex-math></inline-formula> of <inline-formula><tex-math id="M7">\begin{document}$ G $\end{document}</tex-math></inline-formula>. Denote by …