Dirichlet's theorem on diophantine approximation and homogeneous flows

Dmitry Kleinbock, Barak Weiss

We show that for any $\epsilon <1$ and any $\mathcal{T}$ `drifting away from walls', Dirichlet's Theorem cannot be $\epsilon$-improved along $\mathcal{T}$ for Lebesgue almost every system of line…