An ergodic theorem for Delone dynamical systems and existence of the integrated density of states

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57527We study strictly ergodic Delone dynamical systems and prove an ergodic theorem for Banach space valued functions on the associated set of pattern classes. As an application, we prove existence of the integrated density of states in the sense of uniform convergence in distribution for the associated random operators.19 pagesMathematical PhysicsDynamical Systems52C23; 37A30; 82B44An ergodic theorem for Delone dynamical systems and existence of the integrated density of statestext