Limit distributions of expanding translates of certain orbits on homogeneous spaces

Proof-critical source

Bounded trajectories of quasi-rays

This paper is included only for the following marked statement:

• Lemma 5.2 · journal pp. 115–116Expands uniformly nonzero horospherical-fixed vectors along chamber-divergent sequences. It supports both the focal cone discussion and Shi's deduction, immediately before (1.9), that the positive $b_t$-ray lies in the expanding cone.