In recent years, beginning with the seminal work of Saad, Shenker and Stanford, a large class of two-dimensional dilaton-gravity theories have been shown to be holographically dual to a matrix integral, interpreted as an ensemble average over Hamiltonians. I will review a geometric construction leading to such a duality for a class of deformations of Jackiw-Teitelboim gravity which can be viewed as inserting a gas of conical defects. I will then show how to extend this duality to a broader class of dilaton potentials using a natural deformation of the minimal string theory. As an application, I will discuss how to leverage these theories to construct a boundary dual of the so-called 'centaur' geometry, an embedding of a patch of dS_2 in an asymptotically AdS_2 spacetime.