In a celebrated preprint, Thurston defined an asymmetric metric on Teichmueller spaces of hyperbolic surfaces. This metric is a hyperbolic analog of the Teichmueller metric, utilizing Lipschitz distortion instead of quasiconformal distortion. We will first define the metric and prove a few elementary properties. Then, we will discuss stretch paths, which give explicit geodesic paths through Teichmueller space along with Lipschitz-extremal maps between the endpoints. Speaker(s): Mark Greenfield (University of Michigan)