Aperiodic order and spherical diffraction, II: translation bounded measures on homogeneous spaces
Aperiodic order and spherical diffraction, II: translation bounded measures on homogeneous spaces
Abstract We study the auto-correlation measures of invariant random point processes in the hyperbolic plane which arise from various classes of aperiodic Delone sets. More generally, we study auto-correlation measures for large classes of Delone sets in (and even translation bounded measures on) arbitrary locally compact homogeneous metric spaces. We …