2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57817We describe a one-parameter family of dispersing (hence hyperbolic, ergodic and mixing) billiards where the correlation function of the collision map decays as $1/n^a$ (here $n$ denotes the discrete time), in which the degree $a \in (1, \infty)$ changes continuously with the parameter of the family, $β$. We also derive an explicit relation between the degree $a$ and the family parameter $β$.23 page, 7 figuresMathematical PhysicsDynamical Systems37D50, 37A25text