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Peculiar velocities of objects in the nearby universe are correlated due tothe gravitational pull of large-scale structure. By measuring these velocities,we have a unique opportunity to test the cosmological model at the lowestredshifts. We perform this test, using current data to constrain the amplitudeof the "signal" covariance matrix describing the velocities and theircorrelations. We consider a new, well-calibrated "Supercal" set of low-redshiftSNe Ia as well as a set of distances derived from the fundamental planerelation of 6dFGS galaxies. Analyzing the SN and galaxy data separately, bothresults are consistent with the peculiar velocity signal of our fiducial$\Lambda$CDM model, ruling out the noise-only model with zero peculiarvelocities at greater than $7\sigma$ (SNe) and $8\sigma$ (galaxies). When thetwo data sets are combined appropriately, the precision of the test increasesslightly, resulting in a constraint on the signal amplitude of $A =1.05_{-0.21}^{+0.25}$, where $A = 1$ corresponds to our fiducial model.Equivalently, we report an 11% measurement of the product of the growth rateand amplitude of mass fluctuations evaluated at $z_\text{eff} = 0.02$, $f\sigma_8 = 0.428_{-0.045}^{+0.048}$, valid for our fiducial $\Lambda$CDM model.We explore the robustness of the results to a number of conceivable variationsin the analysis and find that individual variations shift the preferred signalamplitude by less than ${\sim}0.5\sigma$. We briefly discuss our Supercal SN Iaresults in comparison with our previous results using the JLA compilation.

Testing $\Lambda$CDM at the lowest redshifts with SN Ia and galaxy velocities