Constrained realizations of 2MRS density and peculiar velocity fields:
  growth rate and local flow
  We generate constrained realizations (CRs) of the density and peculiar
velocity fields within $200 \; h^{-1} \, \mathrm{Mpc}$ from the final release
of the Two-Micron All-Sky Redshift Survey (2MRS) $-$ the densest all-sky
redshift survey to date. The CRs are generated by combining a Wiener filter
estimator in spherical Fourier-Bessel space with random realizations of
log-normally distributed density fields and Poisson-sampled galaxy positions.
The algorithm is tested and calibrated on a set of semi-analytic mock catalogs
mimicking the environment of the Local Group (LG), to rigorously account for
the statistical and systematic errors of the reconstruction method. By
comparing our peculiar velocity CRs with the observed velocities from the
Cosmicflows-3 catalog, we constrain the normalized linear growth rate to $f
\sigma_8^\mathrm{lin} = 0.367 \pm 0.060$, which is consistent at the $1.1
\sigma$ level with the latest Planck results as well as other direct probes.
Simultaneously, we estimate a bulk flow contribution from sources beyond the
2MRS reconstruction volume of $B^\mathrm{ext} = 199 \pm 68 \; \mathrm{km} \,
\mathrm{s}^{-1}$ towards $l = 299 \pm 18^\circ$, $b = 8 \pm 19^\circ$. The
total reconstructed velocity field at the position of the LG, smoothed with a
$1 \; h^{-1} \, \mathrm{Mpc}$ Gaussian, is $685 \pm 75 \; \mathrm{km} \,
\mathrm{s}^{-1}$ towards $l = 270.6 \pm 6.6^\circ$, $b = 35.5 \pm 7.2^\circ$,
in good agreement with the observed CMB dipole. The total reconstructed bulk
flow within different radii is compatible with other measurements. Within a $50
\; h^{-1} \, \mathrm{Mpc}$ Gaussian window we find a bulk flow of $274 \pm 50
\; \mathrm{km} \, \mathrm{s}^{-1}$ towards $l = 287 \pm 9^\circ$, $b = 11 \pm
10^\circ$. The code used to generate the CRs and obtain these results, dubbed
CORAS, is made publicly available.
