  Thermal emission from debris disks around stars has been measured using
targeted and resolved observations. We present an alternative, likelihood-based
approach in which temperature maps from the Planck CMB survey at 857 and 545
GHz are analyzed in conjunction with stellar positions from Gaia to estimate
the fraction of stars hosting disks and the thermal emission from the disks.
The debris disks are not resolved (or even necessarily detected individually)
but their statistical properties and the correlations with stellar properties
are measured for several thousand stars. We compare our findings with higher
sensitivity surveys of smaller samples of stars. For dimmer stars, in
particular K and M-dwarfs, we find about 10 percent of stars within 80 pc have
emission consistent with debris disks. We also report on 80 candidate disks,
the majority of which are not previously identified. We have previously
constrained the properties of Exo-Oort clouds using Planck data -- with future
CMB surveys both components can be measured for different stellar types,
providing a new avenue to study the outer parts of planetary systems.
