Abstract: Asymptotic harmonic manifolds were first introduced by Ledrappier. They comprise all noncompact harmonic manifolds, i.e., all rank one symmetric spaces of noncompact type and all Damek-Ricci spaces besides the Euclidean spaces. I will discuss new results about these spaces in this talk, which are based on joint work with Evangelia Samiou and with Gerhard Knieper.