Fluctuations of local density of states and C0 speckle correlations are equal

We establish a conceptual relation between the fluctuations of the local density of states (LDOS) and the intensity correlations in speckle patterns resulting from the multiple scattering of waves in random media. We show that among the known types of speckle correlations (C-1, C-2, C-3, and C-0) only C-0 contributes to LDOS fluctuations in the infinite medium. We propose to exploit the equivalence of LDOS fluctuations and the C-0 intensity correlation as a selection rule for scattering processes contributing to C-0.