Density of orbits of horocycle flows at sub-quadratic polynomial times

Adam Kanigowski, Maksym Radziwiłł

Let $\hat{I}“\subset PSL(2,\mathbb{R})$ be such that the space $X=\hat{I}“\backslash PSL(2,\mathbb{R})$ is not compact. Let $(h_t)$ be the horocycle flow acting on $X$. We show that for every…