Charting nearby dust clouds using Gaia data only
  Aims: Highly resolved maps of the local Galactic dust are an important
ingredient for sky emission models. In nearly the whole electromagnetic
spectrum one can see imprints of dust, many of which originate from dust clouds
within 300pc. Having a detailed 3D reconstruction of these local dust clouds
enables detailed studies, helps to quantify the impact on other observables and
is a milestone necessary to enable larger reconstructions, as every sightline
for more distant objects will pass through the local dust.
  Methods: To infer the dust density we use parallax and absorption estimates
published by the Gaia collaboration in their second data release. We model the
dust as a log-normal process using a hierarchical Bayesian model. We also infer
non-parametrically the kernel of the log-normal process, which corresponds to
the physical spatial correlation power spectrum of the log-density.
  Results: Using only Gaia data of the second Gaia data release, we reconstruct
the 3D dust density and its spatial correlation spectrum in a 600pc cube
centered on the Sun. We report a spectral index of the logarithmic dust density
of $3.1$ on Fourier scales with wavelengths between 2pc and 125pc. The
resulting 3D dust map as well as the power spectrum and posterior samples are
publicly available for download.
