Divergent trajectories of flows on homogeneous spaces and Diophantine approximation

Proof-critical source

Twisted Diophantine Approximation I: Asymptotic Theory

This paper is included only for the following marked statements:

• Theorem 2.14 · version of record, printed pp. 63–64Characterizes singular systems by divergence of the associated forward diagonal trajectory.
• Theorem 2.20 · version of record, printed p. 65Characterizes badly approximable systems by boundedness of the associated diagonal trajectory.