An application of metric diophantine approximation in hyperbolic space to quadratic forms
An application of metric diophantine approximation in hyperbolic space to quadratic forms
For any real $\tau$, a $\lim\sup$ set $W_{G,y}(\tau)$ of $\tau$-(well)-approximable points is defined for discrete groups $G$ acting on the Poincare model of hyperbolic space. Here $y$ is a `distinguished point' on the sphere at infinity whose orbit under $G$ corresponds to the rationals (which can be regarded as the …