  The IceCube Neutrino Observatory has discovered a diffuse all-flavor flux of
high-energy astrophysical neutrinos. However, the corresponding astrophysical
sources have not yet been identified. Neither significant point sources nor
significant angular correlations of event directions have been observed by
IceCube or other instruments to date. We present a new method to interpret the
non-observation of angular correlations in terms of exclusions on the strength
and number of point-like sources in generic astrophysical scenarios.
Additionally, we constrain the presence of these sources taking into account
the measurement of the diffuse high-energy neutrino flux by IceCube. We apply
the method to two types of astrophysically motivated source count
distributions: The first type is obtained by considering the cosmological
evolution of the co-moving density of active galaxies, while the second type is
directly derived from the gamma ray source count distribution observed by
Fermi-LAT. As a result, we constrain the possible parameter space for both
types of source count distributions.
